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arxiv: 2605.19088 · v1 · pith:ATAPB2CBnew · submitted 2026-05-18 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci

The analysis of heat capacity of MnGe metallic helimagnet

Pith reviewed 2026-05-20 07:34 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mtrl-sci
keywords MnGeheat capacityspin fluctuationshelimagnetmetallic magnetresistivity decompositionparamagnetic state
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0 comments X

The pith

Heat capacity analysis of MnGe identifies a spin-fluctuation contribution that persists in both ordered and paramagnetic states.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper decomposes the zero-field heat capacity of the metallic helimagnet MnGe by drawing on an earlier resistivity analysis of the same crystal. This separation isolates the usual electronic and phononic terms plus an extra contribution attributed to spin fluctuations. The fluctuation term appears across a broad temperature window in both the magnetically ordered and paramagnetic regimes, although its size remains smaller than the lattice contribution. A spin-fluctuation temperature of roughly 330 K is extracted and shown to align with independent estimates that place such fluctuations up to at least 250-300 K. Readers interested in itinerant magnets would care because the result supplies a concrete thermodynamic signature of persistent spin fluctuations in a material whose magnetic order is itself helical.

Core claim

The analysis identifies an additional term in the heat capacity caused by the presence of spin fluctuations. This contribution exists in a wide range of temperatures in both the paramagnetic and magnetically ordered states, with its amplitude significantly lower than the phononic component. The extracted spin fluctuation temperature θ_sf(MnGe) ≈ 330 K matches prior estimates and experimental indications that spin fluctuations in MnGe survive at least up to 250-300 K.

What carries the argument

Resistivity-based decomposition that isolates the spin-fluctuation term in the heat-capacity data.

If this is right

  • Spin fluctuations modify the heat capacity over a wide temperature interval that includes both the ordered and paramagnetic phases.
  • The spin-fluctuation amplitude remains smaller than the phononic term across the measured range.
  • The derived spin-fluctuation temperature of 330 K is consistent with multiple earlier experimental probes of MnGe.
  • The same decomposition approach links transport and thermodynamic data on an identical sample.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The method could be tested on other metallic helimagnets to check whether a comparable spin-fluctuation heat-capacity term appears whenever resistivity shows strong scattering from fluctuations.
  • Because the fluctuation contribution is detectable yet subordinate to phonons, it may still influence related quantities such as thermal expansion or the magnetocaloric response at intermediate temperatures.
  • If the 330 K scale holds, it sets a natural upper temperature for any model that aims to describe the paramagnetic state of MnGe without explicit fluctuation degrees of freedom.

Load-bearing premise

The resistivity decomposition performed earlier on the same crystal supplies a reliable and transferable basis for separating the spin-fluctuation term in the heat capacity without needing independent cross-checks.

What would settle it

An independent heat-capacity measurement on the same crystal that cannot be reproduced by adding the reported spin-fluctuation term to the electronic and phononic contributions, or a neutron-scattering study that finds no spin-fluctuation spectral weight up to 300 K.

Figures

Figures reproduced from arXiv: 2605.19088 by A.V. Bokov, A.V. Semeno, A.V. Tsvyashchenko, M.A. Anisimov, V.A. Sidorov.

Figure 1
Figure 1. Figure 1: FIG. 1. (Color online). Temperature evolution of zero [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (Color online). Temperature evolution of zero-field [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (Color online). Residual magnetic contribution [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
read the original abstract

Zero-field heat capacity of metallic helimagnet MnGe was analyzed based on the results of resistivity decomposition published previously by our group for the same crystal. Current procedure allowed identifying along with ($i$) electronic ($\tilde{\gamma}$ $\approx$ 7 mJ/mol$\cdot$K$^2$) and ($ii$) phononic ($\Theta_D$ $\approx$ 350 K) components ($iii$) the additional term, caused by the presence of spin fluctuations (SFs). The last contribution was found to exist in a wide range of temperatures in both paramagnetic (PM) and magnetically ordered states. However, its amplitude appears to be significantly lower in comparison with phononic component. The obtained value of spin fluctuation temperature $\theta_{sf}$(MnGe) $\approx$ 330 K correlates well with previous estimations, as well as with results of various experiments, which predict the existence of SFs in MnGe at least up to 250 $-$ 300 K.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript analyzes the zero-field heat capacity of the metallic helimagnet MnGe by decomposing C_p(T) into electronic, phononic, and spin-fluctuation contributions, importing the spin-fluctuation component from a prior resistivity decomposition performed by the same group on the identical crystal. It reports fitted values γ̃ ≈ 7 mJ/mol·K², Θ_D ≈ 350 K, and θ_sf ≈ 330 K, asserting that the SF term persists across both paramagnetic and magnetically ordered regimes up to at least 250–300 K.

Significance. If the decomposition holds, the result would provide thermodynamic evidence for spin fluctuations in MnGe persisting well above T_N, consistent with prior estimates from other probes. The approach of transferring an SF amplitude from resistivity to heat capacity could offer a practical route for identifying fluctuation contributions in related itinerant magnets, though its strength depends on demonstrating that the two measurements probe compatible moments of the same fluctuation spectrum.

major comments (2)
  1. [Abstract] Abstract: the claim that an additive SF term can be isolated in C_p(T) rests on importing the SF resistivity component from the authors' prior work without stating the explicit functional form adopted for C_SF(T) (e.g., T^{5/3} or T^2 scaling), without showing the fitting equations, and without reporting fit residuals or χ² comparisons against a baseline model that omits the SF term.
  2. [Results / Analysis] The heat-capacity decomposition procedure: no raw C_p(T) data, error bars, or covariance matrix for the three free parameters (γ̃, Θ_D, θ_sf) are supplied, nor is any cross-validation against independent measurements (e.g., specific-heat data on a different MnGe sample or neutron-scattering estimates of the fluctuation spectrum) presented to test transferability of the SF amplitude between transport and thermodynamics.
minor comments (2)
  1. [Abstract] Abstract: the notation “tilde gamma” for the electronic coefficient should be defined explicitly and distinguished from the conventional Sommerfeld γ if the renormalization differs.
  2. [Discussion] The manuscript should include a brief statement of the temperature range over which each term dominates and a table comparing the present θ_sf value with the literature values cited in the text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and constructive comments on our manuscript. We address each major comment below and have revised the manuscript to incorporate additional details where feasible.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the claim that an additive SF term can be isolated in C_p(T) rests on importing the SF resistivity component from the authors' prior work without stating the explicit functional form adopted for C_SF(T) (e.g., T^{5/3} or T^2 scaling), without showing the fitting equations, and without reporting fit residuals or χ² comparisons against a baseline model that omits the SF term.

    Authors: We agree that the manuscript would benefit from greater transparency in the fitting procedure. The spin-fluctuation term C_SF(T) is taken directly from the functional form established in our prior resistivity analysis on the identical crystal, which employs a T^{5/3} scaling appropriate for three-dimensional itinerant spin fluctuations. In the revised version we will explicitly quote this form, present the full fitting equations used for the decomposition of C_p(T), and include a quantitative comparison of residuals and χ² values for models with and without the SF contribution. revision: yes

  2. Referee: [Results / Analysis] The heat-capacity decomposition procedure: no raw C_p(T) data, error bars, or covariance matrix for the three free parameters (γ̃, Θ_D, θ_sf) are supplied, nor is any cross-validation against independent measurements (e.g., specific-heat data on a different MnGe sample or neutron-scattering estimates of the fluctuation spectrum) presented to test transferability of the SF amplitude between transport and thermodynamics.

    Authors: We acknowledge that the original submission omitted the raw data, uncertainties, and fit statistics. The decomposition was performed on the same single crystal used in our earlier resistivity study to maintain consistency of the SF amplitude. In revision we will add a figure displaying the raw C_p(T) data with error bars, report the covariance matrix for the three fitted parameters, and include a table of fit residuals. For cross-validation we note that independent literature values (including neutron-scattering indications of fluctuations persisting to 250–300 K) already support the obtained θ_sf ≈ 330 K; we will expand the discussion to cite these explicitly. We do not possess new specific-heat measurements on a separate MnGe sample. revision: partial

Circularity Check

1 steps flagged

Heat-capacity SF term identified by importing resistivity decomposition from same-group prior work on identical crystal

specific steps
  1. self citation load bearing [Abstract]
    "Zero-field heat capacity of metallic helimagnet MnGe was analyzed based on the results of resistivity decomposition published previously by our group for the same crystal. Current procedure allowed identifying along with (i) electronic (γ̃ ≈ 7 mJ/mol·K²) and (ii) phononic (Θ_D ≈ 350 K) components (iii) the additional term, caused by the presence of spin fluctuations (SFs)."

    The procedure for isolating the SF term in heat capacity is explicitly constructed from the prior resistivity decomposition by the identical author group on the identical sample; no independent functional mapping or external benchmark is provided to separate the two observables, so the reported SF amplitude and θ_sf value reduce to the assumptions already embedded in the cited resistivity fit.

full rationale

The paper states that heat-capacity analysis proceeds directly from the resistivity decomposition published previously by the same authors on the same crystal. This self-citation supplies the functional form and amplitude used to isolate the spin-fluctuation contribution in C_p(T) across both ordered and paramagnetic regimes. The extracted θ_sf ≈ 330 K therefore inherits the fitting assumptions of the earlier resistivity work without an independent mapping, cross-validation, or residual comparison against a baseline model shown here. The electronic and phononic terms are fitted separately, so the circularity is partial rather than total; the central claim that an SF term persists below T_N remains under-constrained by the imported decomposition.

Axiom & Free-Parameter Ledger

3 free parameters · 1 axioms · 0 invented entities

The analysis rests on three fitted parameters extracted from the heat-capacity curve and on the domain assumption that resistivity data can be mapped directly onto heat-capacity channels. No new entities are postulated.

free parameters (3)
  • electronic specific-heat coefficient = 7 mJ/mol·K²
    Fitted value γ̃ ≈ 7 mJ/mol·K² extracted from low-temperature heat capacity after subtracting other terms.
  • Debye temperature = 350 K
    Fitted value Θ_D ≈ 350 K used for the phononic contribution.
  • spin-fluctuation temperature = 330 K
    Fitted or derived value θ_sf ≈ 330 K that sets the amplitude and temperature range of the additional SF term.
axioms (1)
  • domain assumption Heat capacity of MnGe can be additively decomposed into electronic, phononic, and spin-fluctuation channels using parameters transferred from a prior resistivity decomposition on the same sample.
    Invoked in the opening sentence of the abstract as the basis for the entire analysis.

pith-pipeline@v0.9.0 · 5725 in / 1592 out tokens · 34662 ms · 2026-05-20T07:34:47.797412+00:00 · methodology

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Works this paper leans on

93 extracted references · 93 canonical work pages · 2 internal anchors

  1. [1]

    Introduction Helical magnets of B20 family with noncentrosymmetric crystal structure (sp. gr. P 213) have attracted considerable attention in condensed-matter physics. Here long wavelength helical modulations are stabilized due to the competition between several different magnetic interactions, including Dzyaloshinskii-Moriya and ferromagnetic (FM) ones [ ...

  2. [2]

    Figures 1-2 present temperature evolution of zero- field heat capacity C(T ) of CoGe and MnGe, respectively

    Results and discussion 2.1. Figures 1-2 present temperature evolution of zero- field heat capacity C(T ) of CoGe and MnGe, respectively. Despite the fact that several anomalies were detected on heat capacity curves of monosilicide analogue MnSi, including a narrow peak at Tc = 29 K and broad shoulder preceding it [ 21], no visible peculiarities were regist...

  3. [3]

    According to [ 20], mentioned anomaly survives with applied magnetic field at least up to 9 T

    Such feature was studied in details in [ 20], including the measurements with smaller temperature step. According to [ 20], mentioned anomaly survives with applied magnetic field at least up to 9 T. It was interpreted as a fingerprint of quadrupole-order- driven commensurate-incommensurate phase transition in CoGe. We will not focus on it below. As it was s...

  4. [4]

    The last parameter describes the number of atoms in a formula unit, i.e

    is defined by the relation Cph = 9nR ( T Θ D ) 3 ∫ Θ D/T 0 exx4(ex − 1)− 2dx, (2) where R is the universal gas constant, and n − structural coefficient. The last parameter describes the number of atoms in a formula unit, i.e. n = 2 for CoGe and MnGe. Such a method allows controlling the high temperature slope of simulated curve by varying of the value of ˜ γ...

  5. [5]

    In particular, SFs contribute as T 2 at low temperatures for the first characteristic

    to heat capacity analysis requires also the decomposition of magnetic susceptibility or resistivity to prove the approach. In particular, SFs contribute as T 2 at low temperatures for the first characteristic. On the contrary, River-Zlatic model [ 61, 62] predicts the evolution of resistivity with temperature from quadratic ρsf ∼ T 2 and linear ∼ T traject...

  6. [6]

    compositions as well as for recently synthesized helimagnet Fe 0. 5Rh0. 5Si [ 83], ect. In literature it is common to attribute such rather small entropy release at the magnetic phase transition to weak itinerant-electron magnetism behavior [ 81, 82]. This is also may point on strong magnetic fluctuations in the system. Indeed, SFs were detected in interme...

  7. [7]

    Conclusion To summarize, the original primitive procedure of zero- field heat capacity decomposition was proposed for MnGe and CoGe materials. Our results allowed excluding zero value of Sommerfeld coefficient for Pauli-paramagnetic counterpart CoGe (˜γ ≈ 10.1 mJ/mol ·K2), despite the concept of Weyl semimetal proposed for this compound in literature. Beside...

  8. [8]

    It is applied in literature for FM spin fluctuations [ 66, 71], which were also detected for MnGe

    does not take into account the existence of chiral spin fluctuations. It is applied in literature for FM spin fluctuations [ 66, 71], which were also detected for MnGe. In addition, magnetic and phononic components are considered here for MnGe as independent ones. Besides, the using of MFT to describe magnetic contribution oversimplifies real processes occur...

  9. [9]

    Stishov, and A.E

    S.M. Stishov, and A.E. Petrova, Itinerant helimagnetic compound MnSi, Phys. Uspekhi 54, 1117-1130 (2011)

  10. [10]

    Grigoriev, S.V

    S.V. Grigoriev, S.V. Maleyev, A.I. Okorokov, Y.O. Chetverikov, R. Georgii, P. Boni, D. Lamago, H. Eckerlebe, and K. Pranzas, Critical fluctuations in MnSi near Tc: a polarized neutron scattering study, Phys. Rev. B 72, 134420 (2005)

  11. [11]

    Makarova, A.V

    O.L. Makarova, A.V. Tsvyashchenko, G. Andre, F. Porcher, L.N. Fomicheva, N. Rey, and I. Mirebeau, Neutron diffraction study of the chiral magnet MnGe, Phys. Rev. B 85, 205205 (2012)

  12. [12]

    Deutsch, O.L

    M. Deutsch, O.L. Makarova, T.C. Hansen, M.T. Fernandez-Diaz, V.A. Sidorov, A.V. Tsvyashchenko, L.N. Fomicheva, F. Porcher, S. Petit, K. Koepernik, U.K. R¨ oβ ler, and I. Mirebeau, Two-step pressure-induced collapse of magnetic order in the MnGe chiral magnet, Phys. Rev. B 89, 180407(R) (2014)

  13. [13]

    Martin, I

    N. Martin, I. Mirebeau, C. Franz, G. Chaboussant, L.N. Fomicheva, and A.V. Tsvyashchenko, Partial ordering and phase elasticity in the MnGe short-period helimagnet, Phys. Rev. B 99, 100402(R) (2019)

  14. [14]

    Deutsch, P

    M. Deutsch, P. Bonville, A.V. Tsvyashchenko, L.N. Fomicheva, F. Porcher, F. Damay, S. Petit, and I. Mirebeau, Stress-induced magnetic textures and fluctuating chiral phase in MnGe chiral magnet, Phys. Rev. B 90, 144401 (2014)

  15. [15]

    Martin, M

    N. Martin, M. Deutsch, F. Bert, D. Andreica, A. Amato, P. Bonf` a, R. De Renzi, U.K. R¨ oβ ler, P. Bonville, L.N. Fomicheva, A.V. Tsvyashchenko, and I. Mirebeau, Magnetic ground state and spin fluctuations in MnGe chiral magnet as studied by muon spin rotation, Phys. Rev. B 93, 174405 (2016)

  16. [16]

    Kanazawa, J.-H

    N. Kanazawa, J.-H. Kim, D.S. Inosov, J.S. White, N. Egetenmeyer, J.L. Gavilano, S. Ishiwata, Y. Onose, T. Arima, B. Keimer, and Y. Tokura, Possible skyrmion- lattice ground state in the B20 chiral-lattice magnet MnGe as seen via small-angle neutron scattering, Phys. Rev. B 86, 134425 (2012)

  17. [17]

    Tanigaki, K

    T. Tanigaki, K. Shibata, N. Kanazawa, X. Yu, Y. Onose, H.S. Park, D. Shindo, and Y. Tokura, Real-space observation of short-period cubic lattice of skyrmions in MnGe, Nano Lett. 15, 5438-5442 (2015)

  18. [18]

    Nagaosa, and Y

    N. Nagaosa, and Y. Tokura, Topological properties and dynamics of magnetic skyrmions, Nat. Nanotechnol. 8, 899-911 (2013)

  19. [19]

    Altynbaev, N

    E. Altynbaev, N. Martin, A. Heinemann, L. Fomicheva, A. Tsvyashchenko, I. Mirebeau, and S. Grigoriev, Onset of a skyrmion phase by chemical substitution in MnGe-based chiral magnets, Phys. Rev. B 101, 100404(R) (2020)

  20. [20]

    Kikuchi, T

    T. Kikuchi, T. Koretsune, R. Arita, and G. Tatara, Dzyaloshinskii-Moriya interaction as a consequence of a Doppler shift due to spin-orbit-induced intrinsic spin current, Phys. Rev. Lett. 116, 247201 (2016)

  21. [21]

    Altynbaev, S.-A

    E. Altynbaev, S.-A. Siegfried, E. Moskvin, D. Menzel, C. Dewhurst, A. Heinemann, A. Feoktystov, L. Fomicheva, A. Tsvyashchenko, and S. Grigoriev, Hidden quantum phase transition in Mn 1− xFexGe evidenced by small-angle neutron scattering, Phys. Rev. B 94, 174403 (2016)

  22. [22]

    Kanazawa, Y

    N. Kanazawa, Y. Onose, T. Arima, D. Okuyama, K. Ohoyama, S. Wakimoto, K. Kakurai, S. Ishiwata, and Y. Tokura, Large topological Hall effect in a short-period helimagnet MnGe, Phys. Rev. Lett. 106, 156603 (2011)

  23. [23]

    Shiomi, N

    Y. Shiomi, N. Kanazawa, K. Shibata, Y. Onose, 7 and Y. Tokura, Topological Nernst effect in a three-dimensional skyrmion-lattice phase, Phys. Rev. B 88, 064409 (2013)

  24. [24]

    Anisimov, A.V

    M.A. Anisimov, A.V. Bogach, S.V. Demishev, N.A. Samarin, A.V. Semeno, V.A. Sidorov, and A.V. Tsvyashchenko, The contribution of spin fluctuations to resistivity in B20 metals MnSi and MnGe, J. Magn. Magn. Mat. 615, 172799 (2025)

  25. [25]

    Tsvyashchenko, V.A

    A.V. Tsvyashchenko, V.A. Sidorov, L.N. Fomicheva, V.N. Krasnorussky, R.A. Sadykov, J.D. Thompson, K. Gofryk, F. Ronning, and V.Yu. Ivanov, High pressure synthesis and magnetic properties of cubic B20 MnGe and CoGe, Solid State Phenomena 190, 225-228 (2012)

  26. [26]

    Hsieh, B.B

    T.-Y. Hsieh, B.B. Prasad, and G.-Y. Guo, Helicity- tunable spin Hall and spin Nernst effects in unconventional chiral fermion semimetals XY (X = Co, Rh; Y = Si, Ge), Phys. Rev. B 106, 165102 (2022)

  27. [27]

    DiTusa, S.B

    J.F. DiTusa, S.B. Zhang, K. Yamaura, Y. Xiong, J.C. Prestigiacomo, B.W. Fulfer, P.W. Adams, M.I. Brickson, D.A. Browne, C. Capan, Z. Fisk, and J.Y. Chan, Magnetic, thermodynamic, and electrical transport properties of the noncentrosymmetric B20 germanides MnGe and CoGe, Phys. Rev. B 90, 144404 (2014)

  28. [28]

    Baek, V.A

    S.-H. Baek, V.A. Sidorov, A.V. Nikolaev, T. Klimczuk, F. Ronning, and A.V. Tsvyashchenko, Possible quadrupole-order-driven commensurate- incommensurate phase transition in B20 CoGe, Phys. Rev. B 105, 165132 (2022)

  29. [29]

    Bauer, M

    A. Bauer, M. Garst, and C. Pfleiderer, Specific heat of the skyrmion lattice phase and field-induced tricritical point in MnSi, Phys. Rev. Lett. 110, 177207 (2013)

  30. [30]

    Anisimov, V

    M. Anisimov, V. Voronov, S. Gavrilkin, A. Tsvetkov, K. Mitsen, N. Shitsevalova, G. Levchenko, V. Filipov, S. Demishev, and V. Glushkov, Phonon, defect and magnetic contributions to heat capacity of Eu xYb1− xB6 solid solutions, Solid State Sciences 142, 107233 (2023)

  31. [31]

    Anisimov, V.V

    M.A. Anisimov, V.V. Glushkov, A.V. Bogach, S.V. Demishev, N.A. Samarin, S.Yu Gavrilkin, K.V. Mitsen, N.Yu Shitsevalova, G.V. Levchenko, V.B. Filipov, S. Gabani, K. Flachbart, and N.E. Sluchanko, Specific heat of Ce xLa1− xB6 in the low cerium concentration limit ( x ≤ 0.03), JETP 116, 760-765 (2013)

  32. [32]

    Stewart, Heavy-fermion systems, Rev

    G.R. Stewart, Heavy-fermion systems, Rev. Mod. Phys. 56, 755-787 (1984)

  33. [33]

    Zhang, T

    X. Zhang, T. Zhang, Z. Zhuang, Z. Leng, Z. Wei, X. Liu, J. Xiang, S. Zhang, and P. Sun, YbNi 4Mg: Superheavy fermion with enhanced Wilson ratio and magnetocaloric effect, Phys. Rev. Mat. 9, 014402 (2025)

  34. [34]

    ˇCurlik, M

    I. ˇCurlik, M. Giovannini, J.G. Sereni, M. Zapotokova, S. Gab´ani, and M. Reiffers, Extremely high density of magnetic excitations at T = 0 in YbCu 5− xAux, Phys. Rev. B 90, 224409 (2014)

  35. [35]

    Tokiwa, B

    Y. Tokiwa, B. Piening, H.S. Jeevan, S.L. Bud’ko, P.C. Canfield, and P. Gegenwart, Super-heavy electron material as metallic refrigerant for adiabatic demagnetization cooling, Sci. Adv. 2, e1600835 (2016)

  36. [36]

    Valenta, N

    J. Valenta, N. Tsujii, H. Yamaoka, F. Honda, Y. Hirose, H. Sakurai, N. Terada, T. Naka, T. Nakane, T. Koizumi, H. Ishii, N. Hiraoka, and T. Mori, Unusually strong electronic correlation and field-induced ordered phase in YbCo2, J. Phys. Cond. Mat. 35, 285601 (2023)

  37. [37]

    Westrum Jr, J.T.S

    E.F. Westrum Jr, J.T.S. Andrews, B.H. Justice, and D.A. Johnson, Lanthanide hexaborides. I. Heat capacities and some thermophysical properties of LaB 6, NdB6, and GdB 6 at temperatures from 5 K to 350 K, J. Chem. Thermodynamics 34, 239-250 (2002)

  38. [38]

    Westrum Jr., B.H

    E.F. Westrum Jr., B.H. Justice, H.L. Clever, and D.A. Johnson, Thermophysical properties of CeB 6 and PrB 6 at subambient temperatures, J. Thermal Analysis and Calorimetry 70, 361-369 (2002)

  39. [39]

    Kunii, K

    S. Kunii, K. Takahashi, and K. Iwashita, Phonon and specific heat analyses in rare-earth hexaborides, Journal of Solid State Chemistry 154, 275-279 (2000)

  40. [40]

    Sarkar, S

    S. Sarkar, S. Banerjee, P. Halappa, D. Kalsi, D. Mumbaraddi, S. Ghara, S.K. Pati, A. Sundaresan, I. da Silva, S. Rayaprol, B. Josephf, and S.C. Peter, Synthetically tuned structural variations in CePd xGe2− x (x = 0.21, 0.32, 0.69) towards diverse physical properties, Inorg. Chem. Front. 4, 241-255 (2017)

  41. [41]

    Onuki, A

    Y. Onuki, A. Umezawa, W.K. Kwok, G.W. Crabtree, M. Nishihara, T. Yamazaki, T. Omi, and T. Komatsubara, High field magnetoresistance and de Haas-van Alphen effect in antiferromagnetic PrB 6 and NdB 6, Phys. Rev. B 40, 11195-11207 (1989)

  42. [42]

    Kunii, K

    S. Kunii, K. Takeuchi, I. Oguro, K. Sogiyama, A. Ohya, M. Yamada, Y. Koyoshi, M. Date, and T. Kasuya, Electronic and magnetic properties of GdB 6, J. Magn. Magn. Mat. 52, 275-278 (1985)

  43. [43]

    Segawa, A

    K. Segawa, A. Tomita, K. Iwashita, M. Kasaya, T. Suzuki and S. Kunii, Electronic and magnetic properties of heavy rare-earth hexaboride single crystals , J. Magn. Magn. Mat. 104-107, 1233-1234 (1992)

  44. [44]

    Zhukova, B.P

    E.S. Zhukova, B.P. Gorshunov, G.A. Komandin, L.N. Alyabyeva, A.V. Muratov, Yu.A. Aleshchenko, M.A. Anisimov, N.Yu. Shitsevalova, S.E. Polovets, V.B. Filipov, V.V. Voronov, and N.E. Sluchanko, Collective infrared excitation in rare-earth Gd xLa1− xB6 hexaborides, Phys. Rev. B 100, 104302 (2019)

  45. [45]

    Behler, and K

    S. Behler, and K. Winzer, De Haas-van Alphen effect in rare-earth hexaborides (RE = Pr, Nd, Gd), Z. Physik B - Condensed Matter 82, 355-361 (1991)

  46. [46]

    Paschen, D

    S. Paschen, D. Pushin, M. Schlatter, P. Vonlanthen, H.R. Ott, D.P. Young, and Z. Fisk, Electronic transport in Eu 1− xCaxB6, Phys. Rev. B 61, 4174 (2000)

  47. [47]

    Mandrus, B.C

    D. Mandrus, B.C. Sales, and R. Jin, Localized vibration al mode analysis of the resistivity and specific heat of LaB 6, Phys. Rev. B 64, 012302 (2001)

  48. [48]

    Anisimov, N

    M. Anisimov, N. Samarin, A. Bogach, A. Azarevich, K. Krasikov, S. Demishev, V. Glushkov, N. Shitsevalova, G. Levchenko, V. Filipov, and V. Voronov, Transport properties of R0.01La0.99B6 solid solutions, Solid State Sciences 103, 106181 (2020)

  49. [49]

    Czopnik, N

    A. Czopnik, N. Shitsevalova, A. Krivchikov, V. Pluzhnikov, Y. Paderno, and Y. Onuki, Thermal properties of rare earth dodecaborides, Journal of Solid State Chemistry 177, 507-514 (2004)

  50. [50]

    Tro´c, R

    R. Tro´c, R. Wawryk, A. Pikul and N. Shitsevalova, Physical properties of cage-like compound UB 12, Philosophical Magazine 95, 2343-2363 (2015)

  51. [51]

    Gopal, in: Specific Heats at Low Temperatures , Plenum Press, New York, 1966, p

    E.S.R. Gopal, in: Specific Heats at Low Temperatures , Plenum Press, New York, 1966, p. 240

  52. [52]

    Y. Ma, X. Zhang, H. Ma, H. Guo, and F. Wang, First-principles calculations to investigate influence of transition metals TM (TM = Ti, Zr, Hf) on elastic properties and thermodynamic properties of ScB 12 and YB 12 dodecaborides, 8 Chem. Phys. Let. 800, 139680 (2022)

  53. [53]

    Goetsch, V.K

    R.J. Goetsch, V.K. Anand, A. Pandey, and D.C. Johnston, Structural, thermal, magnetic, and electronic transport properties of the LaNi 2(Ge1− xPx)2 system, Phys. Rev. B 85, 054517 (2012)

  54. [54]

    Greidanus, G

    F. Greidanus, G. Nieuwenhuys, L. de Jongh, W. Huiskamp, H. Capel, and K. Buschow, Specific heat, resistivity, and AC susceptibility of the cubic PrX 2 compounds (X = Pt, Ru, Ir, Rh), Physica B+C 119, 228-242 (1983)

  55. [55]

    Greidanus, An Experimental Study of Praseodymium Intermetallic Compounds at Low Temperatures (Ph.D

    F.J.A.M. Greidanus, An Experimental Study of Praseodymium Intermetallic Compounds at Low Temperatures (Ph.D. thesis), BLEISWIJK/LEIDEN, 1982

  56. [56]

    Martini, H

    M. Martini, H. Reichlova, L.T. Corredor, D. Kriegner, Y. Lee, L. Tomarchio, K. Nielsch, A.G. Moghaddam, J. van den Brink, B. B¨ uchner, S. Wurmehl, V. Romaka, and A. Thomas, Anomalous Hall effect and magnetoresistance in microribbons of the magnetic Weyl semimetal candidate PrRhC 2, Phys. Rev. Mat. 7, 104205 (2023)

  57. [57]

    Teyssier, R

    J. Teyssier, R. Lortz, A. Petrovic, D. van der Marel, V. Filipov, N. Shitsevalova, Effect of electron-phonon coupling on the superconducting transition temperature in dodecaboride superconductors: a comparison of LuB 12 with ZrB 12, Phys. Rev. B 78, 134504 (2008)

  58. [58]

    Lortz, Y

    R. Lortz, Y. Wang, S. Abe, C. Meingast, Yu.B. Paderno, V. Filipov, and A. Junod, Specific heat, magnetic susceptibility, resistivity and thermal expansion of the superconductor ZrB 12, Phys. Rev. B 72, 024547 (2005)

  59. [59]

    Anisimov, N

    M. Anisimov, N. Samarin, V. Krasnorussky, A. Azarevich, A. Khoroshilov, A. Bogach, V. Glushkov, S. Demishev, N. Shitsevalova, V. Filipov, and V. Voronov, Transport properties and Kohler’s rule in RxLu1− xB12 solid solutions with x ≤ 0.03: do charge stripes really exist in metallic dodecaborides?, arXiv:2410.06110v1

  60. [60]

    Bolotina, A.P

    N.B. Bolotina, A.P. Dudka, O.N. Khrykina, V.V. Glushkov, A.N. Azarevich, V.N. Krasnorussky, S. Gabani, N.Yu. Shitsevalova, A.V. Dukhnenko, V.B. Filipov, and N.E. Sluchanko, On the role of isotopic composition in crystal structure, thermal and charge-transport characteristics of dodecaborides Lu NB12 with the Jahn-Teller instability, J. Phys. Chem. Sol. 12...

  61. [61]

    Magnetic Polarons Enable Exceptional Magnetocaloric Response

    J. Ancheta, C. Benyacko, F. Zhang, S.D. Wilson, and B. Liao, Magnetic polarons enable exceptional magnetocaloric response, arXiv:2604.18938v1

  62. [62]

    Tanaka, T

    T. Tanaka, T. Akahane, E. Bannai, S. Kawai, N. Tsuda, and Y. Ishizawa, Role of polar optical phonon scattering in electrical resistivities of LaB 6, and ReO 3, J. Phys. C: Solid State Phys. 9, 1235-1241 (1976)

  63. [63]

    Cooper, Electrical resistivity of an Einstein sol id, Phys

    J.R. Cooper, Electrical resistivity of an Einstein sol id, Phys. Rev. B 9, 2778-2780 (1974)

  64. [64]

    Takahashi, K

    Y. Takahashi, K. Ohshima, F.P. Okamura, S. Otani, and T. Tanaka, Crystallographic parameters of atoms in the single crystals of the compounds RB6 (R-Y, La, Ce, Nd, Sm, Eu, Gd), J. Phys. Soc. Jpn. 68, 2304-2309 (1999)

  65. [65]

    Korsukova, Vacancies and thermal vibrations of atoms in the crystal structure of rare earth hexaborides, in: R

    M. Korsukova, Vacancies and thermal vibrations of atoms in the crystal structure of rare earth hexaborides, in: R. Uno, I. Higashi (Eds.), Proceedings of the 11 th International Symposium on Boron, Borides, and Related Compounds, 22-26 August 1993, Tsukuba (Japan) vol. 10, 1994, p. 15. Japanese Journal of Applied Physics, Tokyo

  66. [66]

    Blomberg, M.J

    M.K. Blomberg, M.J. Merisalo, M.M. Korsukova, and V.N. Gurin, Single-crystal X-ray diffraction study of NdB 6, EuB 6 and YbB 6, J. Alloys Compd. 217, 123-127 (1995)

  67. [67]

    Chernyshev, M.M

    D.Yu. Chernyshev, M.M. Korsukova, A.L. Malyshev, V.N. Gurin, V.A. Trunov, V.V. Chernyshev, and L.A. Aslanov, Softening of the characteristic Einstein vibrational frequency of rare-earth atoms in the isostructural hexaboride series LnB 6, Fiz. Tverd. Tela (St. Petersburg) 36, 1078-1086 (1994). [Phys. Solid State 36, 585 (1994)]

  68. [68]

    Menushenkov, A.A

    A.P. Menushenkov, A.A. Yaroslavtsev, I.A. Zaluzhnyy, A.V. Kuznetsov, R.V. Chernikov, N.Yu. Shitsevalova, and V.B. Filipov, Features of the local structure of rare- earth dodecaborides RB12 (R-Ho, Er, Tm, Yb, Lu), JETP Lett. 98, 165-169 (2013)

  69. [69]

    Rivier, and V

    N. Rivier, and V. Zlatic, Temperature dependence of the resistivity due to localized spin fluctuations, J. Phys. F 2, L87-L92 (1972)

  70. [70]

    Rivier, and V

    N. Rivier, and V. Zlatic, Temperature dependence of the resistivity due to localized spin fluctuations II. Coles alloys, J. Phys. F 2, L99-L104 (1972)

  71. [71]

    Doniach, and S

    S. Doniach, and S. Engelsberg, Low-temperature properties of nearly ferromagnetic Fermi liquids, Phys. Rev. Lett. 17, 750-753 (1966)

  72. [72]

    Brinkman, and S

    W.F. Brinkman, and S. Engelsberg, Spin- fluctuation contributions to the specific heat, Phys. Rev. 169, 417-431 (1968)

  73. [73]

    Engelsberg, W.F

    S. Engelsberg, W.F. Brinkman, and S. Doniach, Theory of the low-temperature properties of nearly ferromagnetic dilute alloys, Phys. Rev. Let. 20, 1040-1044 (1968)

  74. [74]

    Chattopadhyay, P

    M.K. Chattopadhyay, P. Arora, and S.B. Roy, The magnetotransport properties of the intermetallic compound GdCu 6, J. Phys. Cond. Mat. 24, 146004 (2012)

  75. [75]

    Trainor, M.B

    R.J. Trainor, M.B. Brodsky, and H.V. Culbert, Specific heat of the spin-fluctuation system UAl 2, Phys. Rev. Lett. 34, 1019-1022 (1975)

  76. [76]

    Krasnorussky, A.V

    V.N. Krasnorussky, A.V. Semeno, M.A. Anisimov, D.A. Salamatin, A.V. Bokov, N.M. Chtchelkatchev, M.V. Magnitskaya, V.A. Sidorov, A.V. Bogach, and A.V. Tsvyashchenko, Study of magnetic, thermodynamic and transport properties of Laves phase NdRh 2, J. Magn. Magn. Mat. 610, 172480 (2024)

  77. [77]

    Frings, and J.J.M

    P.H. Frings, and J.J.M. Franse, Susceptibility of spin-fluctuation compounds in high magnetic fields, Phys. Rev. B 31, 4355-4360 (1985)

  78. [78]

    Trainor, M.B

    R.J. Trainor, M.B. Brodsky, and H.V. Culbert, Specific heat and electrical properties of the spin fluctuation system, AIP Conference Proceedings 34, 224-226 (1976)

  79. [79]

    Stewart, Non-Fermi-liquid behavior in d- and f - electron metals, Rev

    G.R. Stewart, Non-Fermi-liquid behavior in d- and f - electron metals, Rev. Mod. Phys. 73, 797-855 (2001)

  80. [80]

    Dawson, D.H

    A.L. Dawson, D.H. Ryan, and D.V. Baxter, Spin fluctuations in an amorphous alloy, Phys. Rev. B 54, 12238-12244 (1996)

Showing first 80 references.