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arxiv: 2604.04864 · v1 · submitted 2026-04-06 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci· cond-mat.other

Effects of Spin Fluctuation and Disorder on Topological States of Quasi 2D Ferromagnet Fe1/5CrTe2

M. Lamba , P. Saha , K. Yadav , N. Kamboj , S. Patnaik This is my paper

Pith reviewed 2026-05-10 18:53 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mtrl-scicond-mat.other
keywords anomalous Hall effectspin fluctuationsvan der Waals ferromagnetBerry curvaturemagnetotransportFe1/5CrTe2disorder
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The pith

In Fe1/5CrTe2 the intrinsic anomalous Hall conductivity scales linearly with saturation magnetization even when extrinsic skew scattering dominates.

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

This study examines the magnetic and transport properties of the quasi-two-dimensional ferromagnet Fe1/5CrTe2, which orders at 182 K. The magnetization's quadratic temperature dependence and the T to the 3/2 resistivity term indicate long-wavelength spin fluctuations and strong coupling to conduction electrons. Although the anomalous Hall effect is largely extrinsic due to Fe disorder, separating the components shows the intrinsic conductivity linked to Berry curvature varies linearly with magnetization. This linearity agrees with spin-fluctuation models where disorder reduces magnetization without altering the electronic bands. The work positions Fe1/5CrTe2 as a platform where topological responses persist amid fluctuations and disorder.

Core claim

The paper establishes that the intrinsic anomalous Hall conductivity scales linearly with the saturation magnetization over a wide temperature range below the Curie point. This holds despite the total Hall response being dominated by extrinsic skew-scattering associated with Fe-related disorder. The scaling is consistent with a long-wavelength spin-fluctuation framework in which thermal spin disorder lowers the net magnetization while leaving the underlying electronic structure essentially unchanged.

What carries the argument

Separation of intrinsic (Berry-curvature) and extrinsic (skew-scattering) contributions to the anomalous Hall effect, revealing their distinct temperature dependences tied to magnetization and disorder.

Load-bearing premise

That the conventional separation of anomalous Hall resistivity into intrinsic and extrinsic parts accurately isolates the Berry curvature contribution without significant artifacts from the dominant extrinsic term across temperatures.

What would settle it

Observation of a nonlinear relation between the calculated Berry curvature and magnetization from temperature-dependent band structure calculations would contradict the linear scaling claim.

Figures

Figures reproduced from arXiv: 2604.04864 by K. Yadav, M. Lamba, N. Kamboj, P. Saha, S. Patnaik.

Figure 1
Figure 1. Figure 1: Rietveld refinment of polycrystalline FCT sample at room temperature. Inset (i) schematic view of the crystal structure of FCT. Inset (ii) out of plane X-ray diffraction pattern of single crystalline FCT at room temperature. Inset (iii) shows the single crystal Laue diffraction pattern which confirms its single crystalline nature. Inset (iv) EDX pattern for FCT. Inset (v) SEM image which confirms the layer… view at source ↗
Figure 1
Figure 1. Figure 1 [PITH_FULL_IMAGE:figures/full_fig_p025_1.png] view at source ↗
read the original abstract

We present a thorough magnetization and magneto-transport study of the diluted Fe-intercalated CrTe2 family member, Fe1/5CrTe2, a van der Waals ferromagnet. Fe1/5CrTe2 shows an elevated Curie transition temperature of 182 K in comparison to the Fe1/3CrTe2 composition, indicating the sensitive role of Fe concentration in modulating magnetic exchange interactions within the CrTe2 framework. The saturated magnetization exhibits a quadratic dependence with temperature, indicating the presence of long-wavelength spin fluctuations. Analysis of the temperature dependent resistivity reveals a dominant T3/2 contribution over the typical T2 behavior, signaling substantial coupling between conduction electrons and localized spins. The magnetoresistance shows a linear and non-saturating negative field dependency throughout a wide temperature range below TC, which is compatible with the increasing suppression of spin-disorder dispersion related to ferromagnetic spin fluctuations. A thorough analysis of the anomalous Hall effect (AHE) shows that extrinsic skew-scattering contribution, which is associated to Fe-related disorder, dominates the anomalous Hall response. The systematic separation of intrinsic and extrinsic components reveals that, over a wide temperature range, the intrinsic anomalous Hall conductivity scales linearly with the saturation magnetization, despite the substantial extrinsic dominant background. The linear behavior of intrinsic anomalous Hall conductivity with magnetization is in line with a long wavelength spin-fluctuation framework, where thermal spin disorder lowers net magnetization without significantly altering the underlying electronic structure. These findings reveal Fe1/5CrTe2 as a newly investigated van der Waals ferromagnet where spin fluctuations and disorder coexist with a well-defined intrinsic Berry-curvature contribution to the Hall response.

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 / 1 minor

Summary. The manuscript reports a magnetization and magneto-transport study of the van der Waals ferromagnet Fe_{1/5}CrTe_2, which exhibits a Curie temperature of 182 K. It finds quadratic temperature dependence of the saturation magnetization (indicating long-wavelength spin fluctuations), a dominant T^{3/2} term in the resistivity (signaling electron-localized spin coupling), linear non-saturating negative magnetoresistance, and—after phenomenological decomposition of the anomalous Hall resistivity—linear scaling of the intrinsic anomalous Hall conductivity with saturation magnetization despite a dominant extrinsic skew-scattering background from Fe-related disorder. The linear intrinsic scaling is interpreted as consistent with a spin-fluctuation picture in which thermal disorder reduces net magnetization without substantially modifying the underlying electronic structure or Berry curvature.

Significance. If the decomposition of the anomalous Hall effect is robust, the work supplies a concrete experimental example of how long-wavelength spin fluctuations can coexist with a well-defined intrinsic Berry-curvature contribution in a diluted quasi-2D ferromagnet. This adds to the limited body of data on topological transport in materials where both disorder and fluctuations are prominent, and may help constrain theoretical models of anomalous Hall conductivity under strong thermal spin disorder.

major comments (2)
  1. [Anomalous Hall effect analysis] In the anomalous Hall effect analysis, the separation into intrinsic and extrinsic channels uses the standard form ρ_AH ≈ a ρ_xx + b ρ_xx² (with b ∝ σ_int). The reported dominant T^{3/2} resistivity term arising from spin fluctuations implies temperature-dependent scattering that can violate the assumption that the skew-scattering coefficient a is temperature-independent or follows a simple parametrization over the full range below T_C = 182 K. Any misattribution of fluctuation-induced resistivity changes to the intrinsic channel would artifactually produce the claimed linear σ_int(M_s) relation; this assumption is load-bearing for the central claim.
  2. [Magnetization and resistivity sections] The text states that the saturated magnetization follows a quadratic temperature dependence and that resistivity is dominated by a T^{3/2} term, yet supplies neither the explicit fitting functions, error bars on the extracted coefficients, nor the raw data or supplementary figures that would allow independent verification of these scalings or of the subsequent AHE decomposition. Without these, the reliability of the extracted linear intrinsic AHC versus M_s trend cannot be assessed.
minor comments (1)
  1. [Magnetoresistance discussion] The discussion of the linear, non-saturating magnetoresistance could be strengthened by a brief quantitative comparison to the expected suppression of spin-disorder scattering within the same long-wavelength fluctuation model used for the AHE.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful review and constructive feedback on our manuscript. We address each major comment below, providing clarifications and indicating planned revisions to strengthen the presentation and analysis.

read point-by-point responses

  1. Referee: In the anomalous Hall effect analysis, the separation into intrinsic and extrinsic channels uses the standard form ρ_AH ≈ a ρ_xx + b ρ_xx² (with b ∝ σ_int). The reported dominant T^{3/2} resistivity term arising from spin fluctuations implies temperature-dependent scattering that can violate the assumption that the skew-scattering coefficient a is temperature-independent or follows a simple parametrization over the full range below T_C = 182 K. Any misattribution of fluctuation-induced resistivity changes to the intrinsic channel would artifactually produce the claimed linear σ_int(M_s) relation; this assumption is load-bearing for the central claim.

    Authors: We agree that the temperature dependence of scattering requires careful consideration. The decomposition follows the standard phenomenological form used in the literature for separating skew-scattering (a) and intrinsic (b) contributions. The T^{3/2} resistivity term is included directly in the measured ρ_xx values fed into the fit at each temperature. While a is treated as approximately constant (a common approximation when the dominant scattering mechanism does not change character), we acknowledge that a fully temperature-dependent a could in principle affect the extracted b. In the revised manuscript we will add an explicit discussion of this assumption, including a sensitivity analysis showing that the linear σ_int(M_s) trend remains robust under modest variations of a(T). We do not believe the observed linearity is an artifact, as the intrinsic channel is extracted after subtracting the skew term and still tracks M_s linearly over a wide range. revision: partial

  2. Referee: The text states that the saturated magnetization follows a quadratic temperature dependence and that resistivity is dominated by a T^{3/2} term, yet supplies neither the explicit fitting functions, error bars on the extracted coefficients, nor the raw data or supplementary figures that would allow independent verification of these scalings or of the subsequent AHE decomposition. Without these, the reliability of the extracted linear intrinsic AHC versus M_s trend cannot be assessed.

    Authors: We accept this criticism. The original submission omitted the explicit functional forms, coefficient uncertainties, and supporting figures. In the revised version we will add the fitting expressions (M_s(T) = M_0 (1 - α T^2) and ρ_xx(T) = ρ_0 + β T^{3/2} + γ T^2) together with the fitted coefficients and their uncertainties. We will also include supplementary figures displaying the raw magnetization and resistivity data, the quality of the fits, and the step-by-step AHE decomposition at representative temperatures so that readers can independently verify the scalings and the resulting σ_int(M_s) relation. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain.

full rationale

The paper reports experimental measurements of magnetization, resistivity, MR, and AHE in Fe1/5CrTe2, then applies standard phenomenological decomposition of ρ_AH into skew-scattering (extrinsic) and quadratic (intrinsic) terms to extract σ_int(T). The observed linear σ_int(M_s) relation is presented as an empirical finding consistent with a spin-fluctuation picture, not as a first-principles derivation or prediction. No equations reduce to their inputs by construction, no load-bearing self-citations appear, and the central claim remains an independent observation from data rather than a fitted tautology. The analysis is therefore self-contained.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard condensed-matter assumptions about spin-fluctuation scattering and the validity of the intrinsic/extrinsic decomposition of the anomalous Hall effect; no new entities are postulated and only routine fitting parameters are introduced.

free parameters (1)
  • Fitting coefficients for T^{3/2} resistivity term and linear magnetoresistance slope
    Extracted from temperature- and field-dependent data to quantify spin-disorder scattering.
axioms (1)
  • domain assumption The anomalous Hall resistivity can be decomposed into intrinsic Berry-curvature and extrinsic skew-scattering channels using established phenomenological expressions.
    Invoked when separating components and interpreting the linear scaling of the intrinsic term.

pith-pipeline@v0.9.0 · 5632 in / 1437 out tokens · 51742 ms · 2026-05-10T18:53:34.714113+00:00 · methodology

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Reference graph

Works this paper leans on

69 extracted references · 69 canonical work pages

  1. [1]

    Here, ρ O, ρe-m, ρe-p and ρ e-e corresponds to the residual resistivity, electron -magnon, electron -phonon, and electron -electron scattering respectively

    ρ xx(T) = ρ O + ρ e-m + ρ e-p + ρ e-e. Here, ρ O, ρe-m, ρe-p and ρ e-e corresponds to the residual resistivity, electron -magnon, electron -phonon, and electron -electron scattering respectively. The different scattering mechanisms tend to vary differently with temperature. For instance, the phonon term exhibits a linear T dependence at the high temperatu...

    work page

  2. [2]

    and (ii) comp eting FM and AFM interaction in the low temperature regime [ 66]. When the contribution from the topological Hall effect (THE) is taken into account, the total Hall resistivity can be express ed as the sum of the normal Hall resistivity, the anomalous Hall resistivity, and the topological Hall resistivity (ρTHExy) [24]. ρTotalxy = ρOxy + ρAH...

    work page 2025

  3. [3]

    & Zhang, X

    Gong, C., Li, L., Li, Z., Ji, H., Stern, A., Xia, Y ., ... & Zhang, X. (2017). Discovery of intrinsic ferromagnetism in two -dimensional van der Waals crystals. Nature, 546(7657), 265-269

    work page 2017

  4. [4]

    Gong, C., & Zhang, X. (2019). Two -dimensional magnetic crystals and emergent heterostructure devices. Science, 363(6428), eaav4450

    work page 2019

  5. [5]

    Li, H., Ruan, S., & Zeng, Y . J. (2019). Intrinsic van der Waals magnetic materials from bulk to the 2D limit: new frontiers of spintronics. Advanced Materials, 31(27), 1900065

    work page 2019

  6. [6]

    A., May, A

    Huang, B., McGuire, M. A., May, A. F., Xiao, D., Jarillo-Herrero, P., & Xu, X. (2020). Emergent phenomena and proximity effects in two -dimensional magnets and heterostructures. Nature Materials, 19(12), 1276-1289

    work page 2020

  7. [7]

    R., Cheng, R., Seyler, K

    Huang, B., Clark, G., Navarro-Moratalla, E., Klein, D. R., Cheng, R., Seyler, K. L., ... & Xu, X. (2017). Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit. Nature, 546(7657), 270-273

    work page 2017

  8. [8]

    Song, T., Cai, X., Tu, M. W. Y ., Zhang, X., Huang, B., Wilson, N. P., ... & Xu, X. (2018). Giant tunneling MR in spin -filter van der Waals heterostructures. Science, 360(6394), 1214-1218

    work page 2018

  9. [9]

    F., & Novoselov, K

    Gibertini, M., Koperski, M., Morpurgo, A. F., & Novoselov, K. S. (2019). Magnetic 2D materials and heterostructures. Nature nanotechnology, 14(5), 408-419

    work page 2019

  10. [10]

    Z., Sun, Z.,

    Deng, Y ., Yu, Y ., Song, Y ., Zhang, J., Wang, N. Z., Sun, Z., ... & Zhang, Y . (2018). Gate-tunable room -temperature ferromagnetism in two -dimensional Fe3GeTe2. Nature, 563(7729), 94-99

    work page 2018

  11. [11]

    S., Du, Z

    Zhou, L., Chen, J. S., Du, Z. Z., He, X. S., Ye, B. C., Guo, G. P., ... & He, H. T. (2017). Magnetotransport properties of Cr1− δTe thin films with strong perpendicular magnetic anisotropy. AIP Advances, 7(12)

    work page 2017

  12. [12]

    & Han, J

    Wang, M., Kang, L., Su, J., Zhang, L., Dai, H., Cheng, H., ... & Han, J. (2020). Two - dimensional ferromagnetism in CrTe flakes down to atomically thin layers. Nanoscale, 12(31), 16427-16432

    work page 2020

  13. [13]

    Akram, M., & Nazar, F. M. (1983). Magnetic properties of CrTe, Cr23Te24, Cr7Te8, Cr5Te6, and Cr3Te4 compounds. Journal of Materials Science, 18(2), 423-429

    work page 1983

  14. [14]

    L., Xie, D., Zhan, X., Yao, Y ., Deng, L., Hewa -Walpitage, H.,

    Coughlin, A. L., Xie, D., Zhan, X., Yao, Y ., Deng, L., Hewa -Walpitage, H., ... & Zhang, S. (2021). Van der Waals superstructure and twisting in self -intercalated 18 magnet with near room -temperature perpendicular ferromagnetism. Nano letters, 21(22), 9517-9525

    work page 2021

  15. [15]

    Wen, Y ., Liu, Z., Zhang, Y ., Xia, C., Zhai, B., Zhang, X., ... & He, J. (2020). Tunable room-temperature ferromagnetism in two -dimensional Cr2Te3. Nano letters , 20(5), 3130-3139

    work page 2020

  16. [16]

    Lukoschus, K., Kraschinski, S., Näther, C., Bensch, W., & Kremer, R. K. (2004). Magnetic properties and low temperature X -ray studies of the weak ferromagnetic monoclinic and trigonal chromium tellurides Cr5Te8. Journal of Solid State Chemistry, 177(3), 951-959

    work page 2004

  17. [17]

    Liu, Y ., & Petrovic, C. (2017). Critical behavior of the quasi -two-dimensional weak itinerant ferromagnet trigonal chromium telluride Cr 0.62 Te. Physical Review B, 96(13), 134410

    work page 2017

  18. [18]

    Zhongle, H., Bensch, W., Mankovsky, S., Polesya, S., Ebert, H., & Kremer, R. K. (2006). Anion substitution effects on structure and magnetism of the chromium chalcogenide Cr {sub 5} Te {sub 8} -Part II: Cluster -glass and spin -glass behavior in trigonal Cr {sub (1+ x)} Q {sub 2} with basic cells and trigonal Cr {sub (5+ x)} Q {sub 8} with superstructures...

    work page 2006

  19. [19]

    Z., Luo, X., Yan, J., Gao, J

    Jiang, Z. Z., Luo, X., Yan, J., Gao, J. J., Wang, W., Zhao, G. C., ... & Sun, Y . P. (2020). Magnetic anisotropy and anomalous Hall effect in monoclinic single crystal Cr 5 Te

    work page 2020

  20. [20]

    Physical Review B, 102(14), 144433

    work page

  21. [21]

    E., & Jin, R

    Cao, G., Zhang, Q., Frontzek, M., Xie, W., Gong, D., Sterbinsky, G. E., & Jin, R. (2019). Structure, chromium vacancies, and magnetism in a C r 12− x T e 16 compound. Physical Review Materials, 3(12), 125001

    work page 2019

  22. [23]

    C., Weht, R., Sulpice, A., Remenyi, G., Strobel, P., Gay, F.,

    Freitas, D. C., Weht, R., Sulpice, A., Remenyi, G., Strobel, P., Gay, F., ... &Núnez - Regueiro, M. (2015). Ferromagnetism in layered metastable 1 T -CrTe2. Journal of Physics: Condensed Matter, 27(17), 176002

    work page 2015

  23. [24]

    & Zhang, Z

    Sun, X., Li, W., Wang, X., Sui, Q., Zhang, T., Wang, Z., ... & Zhang, Z. (2020). Room temperature ferromagnetism in ultra -thin van der Waals crystals of 1T -CrTe2. Nano Research, 13(12), 3358-3363. 19

    work page 2020

  24. [25]

    N., Han, M., Li, W., Wei, S., Tian, X.,

    Bian, M., Kamenskii, A. N., Han, M., Li, W., Wei, S., Tian, X., ... & Zeng, H. (2021). Covalent 2D Cr2Te3 ferromagnet. Materials Research Letters, 9(5), 205-212

    work page 2021

  25. [26]

    A., Garlea, V

    McGuire, M. A., Garlea, V . O., Kc, S., Cooper, V . R., Yan, J., Cao, H., & Sales, B. C. (2017). Antiferromagnetism in the van der Waals layered spin -lozenge semiconductor CrTe 3. Physical Review B, 95(14), 144421

    work page 2017

  26. [27]

    R., Kulichenko, V ., Plata, M

    Karullithodi, S. R., Kulichenko, V ., Plata, M. A., Ptok, A., Lee, S. E., McCandless, G. T., ... &Balicas, L. (2025). Type -II Weyl nodes, flat bands, and evidence for a topological Hall -effect in the new ferromagnet FeCr 3 Te 6. Physical Review Materials, 9(4), 044203

    work page 2025

  27. [28]

    H., & Ong, N

    Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H., & Ong, N. P. (2010). Anomalous hall effect. Reviews of modern physics, 82(2), 1539-1592

    work page 2010

  28. [29]

    M., &Rostoker, N

    Pugh, E. M., &Rostoker, N. (1953). Hall effect in ferromagnetic materials. Reviews of Modern Physics, 25(1), 151

    work page 1953

  29. [30]

    M., & Chen, J

    Wang, H., Dai, Y ., Chow, G. M., & Chen, J. (2022). Topological hall transport: Materials, mechanisms and potential applications. Progress in Materials Science, 130, 100971

    work page 2022

  30. [31]

    Karplus, R., & Luttinger, J. M. (1954). Hall effect in ferromagnetics. Physical Review, 95(5), 1154

    work page 1954

  31. [32]

    Luttinger, J. M. (1958). Theory of the Hall effect in ferromagnetic substances. Physical Review, 112(3), 739

    work page 1958

  32. [33]

    Smit, J. (1955). The spontaneous Hall effect in ferromagnetics I. Physica, 21(6-10), 877-887

    work page 1955

  33. [34]

    Smit, J. (1958). The spontaneous Hall effect in ferromagnetics II. Physica, 24(1-5), 39-51

    work page 1958

  34. [35]

    Berger, L. (1970). Side-jump mechanism for the Hall effect of ferromagnets. Physical Review B, 2(11), 4559

    work page 1970

  35. [36]

    K., & Holstein, T

    Lyo, S. K., & Holstein, T. (1972). Side -jump mechanism for ferromagnetic Hall effect. Physical review letters, 29(7), 423

    work page 1972

  36. [37]

    H., Sinova, J., Jungwirth, T., Wang, D

    Yao, Y ., Kleinman, L., MacDonald, A. H., Sinova, J., Jungwirth, T., Wang, D. S., ... & Niu, Q. (2004). First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe. Physical review letters, 92(3), 037204

    work page 2004

  37. [38]

    S., Asamitsu, A., Mathieu, R., Ogasawara, T.,

    Fang, Z., Nagaosa, N., Takahashi, K. S., Asamitsu, A., Mathieu, R., Ogasawara, T., ... &Terakura, K. (2003). The anomalous Hall effect and magnetic monopoles in momentum space. Science, 302(5642), 92-95. 20

    work page 2003

  38. [39]

    Zeng, C., Yao, Y ., Niu, Q., &Weitering, H. H. (2006). Linear magnetization dependence of the intrinsic anomalous Hall effect. Physical review letters , 96(3), 037204

    work page 2006

  39. [40]

    Jungwirth, T., Niu, Q., & MacDonald, A. H. (2002). Anomalous Hall effect in ferromagnetic semiconductors. Physical review letters, 88(20), 207208

    work page 2002

  40. [41]

    Nozières, P., &Lewiner, C. J. J. P. F. (1973). A simple theory of the anomalous Hall effect in semiconductors. Journal de Physique, 34(10), 901-915

    work page 1973

  41. [42]

    G., & Taillefer, L

    Lonzarich, G. G., & Taillefer, L. (1985). Effect of spin fluctuations on the magnetic equation of state of ferromagnetic or nearly ferromagnetic metals. Journal of Physics C: Solid State Physics, 18(22), 4339-4371

    work page 1985

  42. [43]

    K., Liu, Y ., Zheng, F., Song, D., & Wu, R

    Pradhan, S. K., Liu, Y ., Zheng, F., Song, D., & Wu, R. (2024). Observation of Néel - type magnetic skyrmion in a layered non -centrosymmetric itinerant ferromagnet CrTe1. 38. Applied Physics Letters, 125(15)

    work page 2024

  43. [44]

    Z., Zhang, A

    Zhang, L. Z., Zhang, A. L., He, X. D., Ben, X. W., Xiao, Q. L., Lu, W. L., ... & Ge, J. Y . (2020). Critical behavior and magnetocaloric effect of the quasi -two-dimensional room-temperature ferromagnet Cr 4 Te 5. Physical Review B, 101(21), 214413

    work page 2020

  44. [45]

    & Sun, Y

    Yan, J., Luo, X., Lin, G., Chen, F., Gao, J., Sun, Y ., ... & Sun, Y . (2018). Anomalous Hall effect of the quasi -two-dimensional weak itinerant ferromagnet Cr4. 14Te8. Europhysics Letters, 124(6), 67005

    work page 2018

  45. [46]

    L., Kockelmann, W., Telling, M., & Bensch, W

    Huang, Z. L., Kockelmann, W., Telling, M., & Bensch, W. (2008). A neutron diffraction study of structural and magnetic properties of monoclinic Cr5Te8. Solid state sciences, 10(8), 1099-1105

    work page 2008

  46. [47]

    Mondal, R., Kulkarni, R., &Thamizhavel, A. (2019). Anisotropic magnetic properties and critical behaviour studies of trigonal Cr5Te8 single crystal. Journal of Magnetism and Magnetic Materials, 483, 27-33

    work page 2019

  47. [48]

    J., Hu, Z., Aryal, N., Stavitski, E., Tong, X.,

    Liu, Y ., Koch, R. J., Hu, Z., Aryal, N., Stavitski, E., Tong, X., ... & Petrovic, C. (2020). Three -dimensional Ising ferrimagnetism of Cr -Fe-Cr trimers in Fe Cr 2 Te

    work page 2020

  48. [49]

    Physical Review B, 102(8), 085158

    work page

  49. [50]

    Mugiraneza, S., & Hallas, A. M. (2022). Tutorial: a beginner’s guide to interpreting magnetic susceptibility data with the Curie-Weiss law. Communications Physics, 5(1), 95

    work page 2022

  50. [51]

    Ziman, J. M. (2001). Electrons and phonons: the theory of transport phenomena in solids. Oxford university press. 21

    work page 2001

  51. [52]

    Ueda, K., & Moriya, T. (1975). Contribution of spin fluctuations to the electrical and thermal resistivities of weakly and nearly ferromagnetic metals. Journal of the Physical Society of Japan, 39(3), 605-615

    work page 1975

  52. [53]

    Rosch, A. (1999). Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point. Physical Review Letters, 82(21), 4280

    work page 1999

  53. [54]

    Liu, Y ., Tan, H., Hu, Z., Yan, B., & Petrovic, C. (2021). Anomalous Hall effect in the weak-itinerant ferrimagnet FeCr 2 Te 4. Physical Review B, 103(4), 045106

    work page 2021

  54. [55]

    Routh, S., Kar, I., Low, A., Ghosh, S., & Bhowmik, T. K. (2023). MR behavior across the critical region in ferrimagnet FeCr2Te4 single crystal. Physics Letters A , 486, 129101

    work page 2023

  55. [56]

    Z., & Shen, S

    Lu, H. Z., & Shen, S. Q. (2016). Weak antilocalization and interaction -induced localization of Dirac and Weyl Fermions in topological insulators and semimetals. Chinese Physics B, 25(11), 117202

    work page 2016

  56. [57]

    Saha, P., Das, P., Singh, M., Rai, R., & Patnaik, S. (2025). Effect of spin fluctuations on MR and anomalous Hall effect in the chiral magnet Co8Zn8Mn4. Physica B: Condensed Matter, 704, 417035

    work page 2025

  57. [58]

    Motzki, P., &Seelecke, S. (2022). Encyclopedia of smart materials (pp. 254 -266). Elsevier, Amsterdam, Netherlands

    work page 2022

  58. [59]

    F., Tsai, J

    Yu, C., Lee, S. F., Tsai, J. L., Huang, E. W., Chen, T. Y ., Yao, Y . D., ... & Chang, C. R. (2003). Study of domain wall MR by submicron patterned magnetic structure. Journal of applied physics, 93(10), 8761-8763

    work page 2003

  59. [60]

    D., Nath, T

    Suzuki, Y ., Wu, Y ., Yu, J., Rüdiger, U., Kent, A. D., Nath, T. K., & Eom, C. B. (2000). Domain structure and magnetotransport in epitaxial colossal MR thin films. Journal of Applied Physics, 87(9), 6746-6748

    work page 2000

  60. [61]

    Reifenberger, R. (1989). Conduction Electrons: MR in Metals. AB Pippard. Cambridge University Press, New York, 1989. xiv, 253 pp., illus. $59.50. Cambridge Studies in Low Temperature Physics, vol. 2. Science, 245(4920), 874-874

    work page 1989

  61. [62]

    T., Bareille, C., Nugroho, A

    Kuroda, K., Tomita, T., Suzuki, M. T., Bareille, C., Nugroho, A. A., Goswami, P., ... &Nakatsuji, S. (2017). Evidence for magnetic Weyl fermions in a correlated metal. Nature materials, 16(11), 1090-1095

    work page 2017

  62. [63]

    Qi, F., Huang, Y ., Yao, X., Lu, W., & Cao, G. (2023). Anomalous electrical transport and magnetic skyrmions in Mn -tuned Co 9 Zn 9 Mn 2 single crystals. Physical Review B, 107(11), 115103. 22

    work page 2023

  63. [64]

    Pal, D., Kumar, S., Shahi, P., Dan, S., Verma, A., Gangwar, V . K., ... & Chatterjee, S. (2021). Defect induced ferromagnetic ordering and room temperature negative MR in MoTeP. Scientific reports, 11(1), 9104

    work page 2021

  64. [65]

    Raquet, B., Viret, M., Sondergard, E., Cespedes, O., & Mamy, R. (2002). Electron - magnon scattering and magnetic resistivity in 3 d ferromagnets. Physical Review B, 66(2), 024433

    work page 2002

  65. [66]

    P., Kumar, D., & Lakhani, A

    Jena, R. P., Kumar, D., & Lakhani, A. (2020). Scaling analysis of anomalous Hall resistivity in the Co2TiAl Heusler alloy. Journal of Physics: Condensed Matter, 32(36), 365703

    work page 2020

  66. [67]

    T., Kim, B

    Kim, K., Seo, J., Lee, E., Ko, K. T., Kim, B. S., Jang, B. G., ... & Kim, J. S. (2018). Large anomalous Hall current induced by topological nodal lines in a ferromagnetic van der Waals semimetal. Nature materials, 17(9), 794-799

    work page 2018

  67. [68]

    Lee, M., Onose, Y ., Tokura, Y ., & Ong, N. P. (2007). Hidden constant in the anomalous Hall effect of high -purity magnet MnSi. Physical Review B —Condensed Matter and Materials Physics, 75(17), 172403

    work page 2007

  68. [69]

    Verma, N., Addison, Z., &Randeria, M. (2022). Unified theory of the anomalous and topological Hall effects with phase -space Berry curvatures. Science Advances, 8(45), eabq2765

    work page 2022

  69. [70]

    H., Burigu, A., Zhang, Y

    Liu, Z. H., Burigu, A., Zhang, Y . J., Jafri, H. M., Ma, X. Q., Liu, E. K., Wu, G. H. (2018). Giant topological Hall effect in tetragonal Heusler alloy Mn2PtSn. Scripta Materialia, 143, 122-125. 23 Figure captions Figure 1: Rietveld refinment of polycrystalline FCT sample at room temperature . I nset (i) schematic view of the crystal structure of FCT. Ins...

    work page 2018