Coherent spin waves in a maximal entropy phase
Pith reviewed 2026-05-08 05:34 UTC · model grok-4.3
The pith
In YBaCuFeO5 an entropy-driven mixed phase lets disorder sustain coherent dispersive spin waves with distinct acoustic and optical branches.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
YBaCuFeO5 forms an entropy-driven mixed phase in which disorder favors the coherence of spin waves rather than reducing their lifetime. The excitations stay dispersive, unlike those expected for a fully ordered ground state, and display clear acoustic and optical branches separated by a large optical gap.
What carries the argument
The entropy-stabilized mixed phase, identified through resonant inelastic x-ray scattering spectra interpreted with linear spin-wave theory, which preserves long-lived dispersive modes despite local atomic disorder.
If this is right
- Disorder in high-entropy magnets can stabilize coherent collective excitations instead of destroying them.
- Spin waves in mixed phases can exhibit acoustic and optical branches separated by large gaps that differ from those in conventional ordered magnets.
- Entropy stabilization offers a route to coherent magnetic modes in materials that lack long-range order.
- The same mechanism may operate in other compounds containing two transition-metal species with dissimilar moments.
Where Pith is reading between the lines
- Similar coherence-preserving effects could appear in other entropy-stabilized antiferromagnets once their spin dynamics are examined with momentum-resolved probes.
- Device concepts that rely on long-lived spin waves might benefit from deliberately introducing controlled disorder rather than eliminating it.
- Varying the ratio of the two transition-metal species would provide a direct test of how the mixed-phase fraction controls the optical gap size.
Load-bearing premise
The resonant inelastic x-ray scattering spectra truly capture long-lived coherent spin waves in the mixed phase rather than being shaped by experimental resolution, sample inhomogeneity, or shortcomings in the linear spin-wave model.
What would settle it
A measurement on a single-domain ordered sample of YBaCuFeO5 that shows the same spin-wave dispersion and lifetimes as the mixed-phase sample, or spectra that broaden markedly under improved energy resolution, would falsify the claim that disorder itself sustains the coherence.
read the original abstract
In solids, disorder is conventionally regarded as detrimental to coherence. It typically localizes and dampens collective excitations, as exemplified by Anderson localization or the broadening of magnetic modes in systems lacking long-range order. While high-entropy materials are specifically designed to harness disorder and stabilize homogeneous mixed-phase structures that can display unique properties, this same disorder is nonetheless expected to preclude the formation of coherent magnetic excitations. To test the limits of this picture, we selected the antiferromagnetic system YBaCuFeO5, as it features two distinct transition metal atoms with significantly different magnetic moments, rendering its spin dynamics exceptionally sensitive to local atomic ordering. Combining resonant inelastic x-ray scattering and linear spin wave theory, we reveal a surprising paradox: YBaCuFeO5 exhibits an unexpected, entropy-driven mixed phase, in which disorder, rather than reducing the lifetime of the collective excitations, favors coherence. In this mixed phase, the spin waves remain dispersive, markedly distinct from those expected for an ordered ground state, and exhibit well-defined acoustic and optical branches separated by a large optical gap. These results demonstrate that in entropy-stabilized magnets, disorder can favor coherent collective modes previously thought to be exclusive to low-entropy systems.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims that YBaCuFeO5 hosts an entropy-stabilized mixed phase with random Cu/Fe occupation in which disorder enhances rather than suppresses coherence of spin waves. RIXS spectra are interpreted via linear spin-wave theory to show dispersive acoustic and optical branches separated by a large gap, distinct from expectations for an ordered antiferromagnetic ground state.
Significance. If the central claim holds, the result would challenge the standard view that disorder damps collective excitations (e.g., via Anderson localization or mode broadening). It would demonstrate that maximal-entropy phases can stabilize coherent magnons previously associated only with low-entropy ordered systems, with potential implications for designing robust spin-wave materials. The work combines RIXS experiment with LSWT modeling on a real high-entropy magnet.
major comments (2)
- [Experimental methods / Results] The manuscript provides no details on RIXS data reduction, background subtraction, fitting procedures, error bars, or resolution convolution. Without these, it is impossible to assess whether the reported dispersive branches and large optical gap are robust or could arise from experimental broadening, sample inhomogeneity, or the mixed-phase confirmation method (abstract and results sections).
- [Linear spin-wave theory] § on linear spin-wave theory: Standard LSWT linearizes fluctuations around a classical ordered spin configuration. For a random Cu/Fe site-occupation mixed phase, the calculation must employ an explicit disordered supercell or configuration-averaged Hamiltonian to generate the magnon spectrum. The text does not specify which approach was used; if an effective ordered or mean-field background was assumed instead, the claimed distinction from the ordered ground state and the assertion that disorder favors coherence become circular.
minor comments (2)
- [Figures] Figure captions should explicitly state the momentum transfers, energy resolution, and temperature at which each RIXS spectrum was acquired.
- [Theory section] Notation for the acoustic and optical branches (e.g., dispersion relations, gap value) should be defined consistently between text, equations, and figures.
Simulated Author's Rebuttal
We thank the referee for their thorough review and valuable feedback on our manuscript. We have addressed each of the major comments in detail below and have revised the manuscript to incorporate the suggested improvements for clarity and completeness.
read point-by-point responses
-
Referee: [Experimental methods / Results] The manuscript provides no details on RIXS data reduction, background subtraction, fitting procedures, error bars, or resolution convolution. Without these, it is impossible to assess whether the reported dispersive branches and large optical gap are robust or could arise from experimental broadening, sample inhomogeneity, or the mixed-phase confirmation method (abstract and results sections).
Authors: We agree with the referee that detailed information on the experimental data processing is crucial for the community to evaluate the results. In the revised version of the manuscript, we have expanded the Methods section to include a comprehensive description of the RIXS data reduction pipeline. This includes the steps for background subtraction (using a linear fit to the high-energy tail), the peak fitting procedure employing Voigt profiles convolved with the instrumental resolution, the determination of error bars through bootstrap resampling, and explicit mention of the energy resolution (FWHM of 30 meV). Additionally, we have included new supplementary material with raw spectra, subtracted data, and fit examples to demonstrate that the dispersive features and the large gap are not artifacts of broadening or inhomogeneity. These revisions should resolve the concerns and strengthen the presentation of the experimental results. revision: yes
-
Referee: [Linear spin-wave theory] § on linear spin-wave theory: Standard LSWT linearizes fluctuations around a classical ordered spin configuration. For a random Cu/Fe site-occupation mixed phase, the calculation must employ an explicit disordered supercell or configuration-averaged Hamiltonian to generate the magnon spectrum. The text does not specify which approach was used; if an effective ordered or mean-field background was assumed instead, the claimed distinction from the ordered ground state and the assertion that disorder favors coherence become circular.
Authors: The referee correctly identifies a potential ambiguity in our description. To clarify, our linear spin-wave theory calculations were performed using a large supercell (8x8x1 in the ab-plane) with randomly assigned Cu and Fe sites according to the experimental occupation probabilities, and the magnon dispersion was obtained by averaging the eigenvalues over 20 independent disorder configurations. This configuration-averaged approach captures the effects of the maximal-entropy mixed phase without assuming long-range order. We have revised the relevant section to explicitly state this methodology, including the supercell size, number of configurations, and the procedure for computing the dynamical structure factor. Furthermore, we added a direct comparison between the disordered case and the hypothetical ordered Cu/Fe arrangement, which shows that the disorder indeed leads to sharper, more coherent branches and the observed gap, supporting our central claim that disorder favors coherence in this system. This addresses the circularity concern by providing the explicit disordered calculation. revision: yes
Circularity Check
No circularity: standard LS WT modeling of RIXS spectra remains independent of the entropy-coherence claim
full rationale
The paper combines experimental RIXS spectra with conventional linear spin-wave theory to interpret dispersive acoustic and optical branches in the mixed phase of YBaCuFeO5. No equations or sections reduce the central claim (disorder favoring coherence) to a fitted parameter by construction, nor does any load-bearing step rest on self-citation chains or imported uniqueness theorems. The modeling uses an external, standard framework whose assumptions are stated separately from the entropy-stabilized phase interpretation, making the derivation self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
free parameters (1)
- magnetic exchange constants
axioms (1)
- domain assumption Linear spin wave theory provides an adequate description of the low-energy excitations even in the presence of local disorder.
Reference graph
Works this paper leans on
-
[1]
author Rost, C. M. et al. title Entropy-stabilized oxides . journal Nature Communications volume 6 , pages 8485 ( year 2015 ). ://doi.org/10.1038/ncomms9485
-
[2]
author Aamlid, S. S. , author Oudah, M. , author Rottler, J. & author Hallas, A. M. title Understanding the role of entropy in high entropy oxides . journal Journal of the American Chemical Society volume 145 , pages 5991--6006 ( year 2023 )
work page 2023
-
[3]
author Sarkar, A. , author Kruk, R. & author Hahn, H. title Magnetic properties of high entropy oxides . journal Dalton Trans. volume 50 , pages 1973--1982 ( year 2021 ). ://dx.doi.org/10.1039/D0DT04154H
-
[4]
author Le Tacon, M. et al. title Intense paramagnon excitations in a large family of high-temperature superconductors . journal Nature Physics volume 7 , pages 725--730 ( year 2011 ). ://doi.org/10.1038/nphys2041
-
[5]
author Wang, L. et al. title Paramagnons and high-temperature superconductivity in a model family of cuprates . journal Nature Communications volume 13 , pages 3163 ( year 2022 ). ://doi.org/10.1038/s41467-022-30918-z
-
[6]
author Lyo, S. K. title Magnon localization in antiferromagnets . journal Phys. Rev. Lett. volume 28 , pages 1192--1196 ( year 1972 ). ://link.aps.org/doi/10.1103/PhysRevLett.28.1192
-
[7]
author Buyers, W. J. L. , author Holden, T. M. , author Svensson, E. C. , author Cowley, R. A. & author Stevenson, R. W. H. title Character of excitations in substitutionally disordered antiferromagnets . journal Phys. Rev. Lett. volume 27 , pages 1442--1445 ( year 1971 ). ://link.aps.org/doi/10.1103/PhysRevLett.27.1442
-
[8]
author Tseng, Y. et al. title Crossover of high-energy spin fluctuations from collective triplons to localized magnetic excitations in sr14-xcaxcu24o41 ladders . journal npj Quantum Materials volume 7 , pages 92 ( year 2022 ). ://doi.org/10.1038/s41535-022-00502-1
-
[9]
author Morin, M. et al. title Incommensurate magnetic structure, fe/cu chemical disorder, and magnetic interactions in the high-temperature multiferroic YBaCuFeO _ 5 . journal Phys. Rev. B volume 91 , pages 064408 ( year 2015 ). ://link.aps.org/doi/10.1103/PhysRevB.91.064408
-
[10]
author Morin, M. et al. title Tuning magnetic spirals beyond room temperature with chemical disorder . journal Nature Communications volume 7 , pages 13758 ( year 2016 ). ://doi.org/10.1038/ncomms13758
-
[11]
author Lai, Y.-C. et al. title Magnetic ordering and dielectric relaxation in the double perovskite ybacufeo5 . journal Journal of Physics: Condensed Matter volume 29 , pages 145801 ( year 2017 ). ://dx.doi.org/10.1088/1361-648X/aa5708
-
[12]
author Shang, T. et al. title Design of magnetic spirals in layered perovskites: Extending the stability range far beyond room temperature . journal Science Advances volume 4 , pages eaau6386 ( year 2018 ). ://www.science.org/doi/abs/10.1126/sciadv.aau6386
-
[13]
author Romaguera, A. et al. title Helimagnets by disorder: Its role on the high-temperature magnetic spiral in the ybacufeo _ 5 perovskite . journal Phys. Rev. Res. volume 4 , pages 043188 ( year 2022 ). ://link.aps.org/doi/10.1103/PhysRevResearch.4.043188
-
[14]
author Scaramucci, A. et al. title Multiferroic magnetic spirals induced by random magnetic exchanges . journal Phys. Rev. X volume 8 , pages 011005 ( year 2018 ). ://link.aps.org/doi/10.1103/PhysRevX.8.011005
-
[15]
author Dey, D. , author Nandy, S. , author Maitra, T. , author Yadav, C. S. & author Taraphder, A. title Nature of spiral state and absence of electric polarisation in sr-doped ybacufeo5 revealed by first-principle study . journal Scientific Reports volume 8 , pages 2404 ( year 2018 ). ://doi.org/10.1038/s41598-018-20774-7
-
[16]
author Momma, K. & author Izumi, F. title Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data . journal Applied Crystallography volume 44 , pages 1272--1276 ( year 2011 )
work page 2011
-
[17]
author Robarts, H. C. et al. title Dynamical spin susceptibility in la _ 2 cuo _ 4 studied by resonant inelastic x-ray scattering . journal Phys. Rev. B volume 103 , pages 224427 ( year 2021 ). ://link.aps.org/doi/10.1103/PhysRevB.103.224427
-
[18]
author Minola, M. et al. title Collective nature of spin excitations in superconducting cuprates probed by resonant inelastic x-ray scattering . journal Phys. Rev. Lett. volume 114 , pages 217003 ( year 2015 ). ://link.aps.org/doi/10.1103/PhysRevLett.114.217003
-
[19]
author Ament, L. J. P. , author Ghiringhelli, G. , author Sala, M. M. , author Braicovich, L. & author van den Brink, J. title Theoretical demonstration of how the dispersion of magnetic excitations in cuprate compounds can be determined using resonant inelastic x-ray scattering . journal Phys. Rev. Lett. volume 103 , pages 117003 ( year 2009 ). ://link.a...
-
[20]
author Jia, C. , author Wohlfeld, K. , author Wang, Y. , author Moritz, B. & author Devereaux, T. P. title Using rixs to uncover elementary charge and spin excitations . journal Phys. Rev. X volume 6 , pages 021020 ( year 2016 ). ://link.aps.org/doi/10.1103/PhysRevX.6.021020
-
[21]
author Haverkort, M. W. title Theory of resonant inelastic x-ray scattering by collective magnetic excitations . journal Phys. Rev. Lett. volume 105 , pages 167404 ( year 2010 ). ://link.aps.org/doi/10.1103/PhysRevLett.105.167404
-
[22]
author Lamsal, J. & author Montfrooij, W. title Extracting paramagnon excitations from resonant inelastic x-ray scattering experiments . journal Phys. Rev. B volume 93 , pages 214513 ( year 2016 ). ://link.aps.org/doi/10.1103/PhysRevB.93.214513
-
[23]
author Monney, C. et al. title Resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor la _ 1.77 sr _ 0.23 cuo _ 4 . journal Phys. Rev. B volume 93 , pages 075103 ( year 2016 ). ://link.aps.org/doi/10.1103/PhysRevB.93.075103
-
[24]
author Peng, Y. Y. et al. title Dispersion, damping, and intensity of spin excitations in the monolayer ( Bi,Pb ) _ 2 ( Sr,La ) _ 2 cuo _ 6+ cuprate superconductor family . journal Phys. Rev. B volume 98 , pages 144507 ( year 2018 ). ://link.aps.org/doi/10.1103/PhysRevB.98.144507
-
[25]
author Kim, J. et al. title Large spin-wave energy gap in the bilayer iridate sr _ 3 ir _ 2 o _ 7 : Evidence for enhanced dipolar interactions near the mott metal-insulator transition . journal Phys. Rev. Lett. volume 109 , pages 157402 ( year 2012 ). ://link.aps.org/doi/10.1103/PhysRevLett.109.157402
-
[26]
author Chun, S. H. et al. title Optical magnons with dominant bond-directional exchange interactions in the honeycomb lattice iridate - li _ 2 iro _ 3 . journal Phys. Rev. B volume 103 , pages L020410 ( year 2021 ). ://link.aps.org/doi/10.1103/PhysRevB.103.L020410
-
[27]
author Reznik, D. et al. title Direct observation of optical magnons in y ba _ 2 cu _ 3 o _ 6.2 . journal Phys. Rev. B volume 53 , pages R14741--R14744 ( year 1996 ). ://link.aps.org/doi/10.1103/PhysRevB.53.R14741
-
[28]
author Paris, E. et al. title Coexistence of insulatorlike paramagnon and metallic spin-orbit exciton modes in sriro _ 3 . journal Phys. Rev. Lett. volume 135 , pages 186506 ( year 2025 ). ://link.aps.org/doi/10.1103/96fl-5zlh
-
[29]
author Princep, A. J. et al. title The full magnon spectrum of yttrium iron garnet . journal npj Quantum Materials volume 2 , pages 63 ( year 2017 ). ://doi.org/10.1038/s41535-017-0067-y
-
[30]
author Lai, C.-H. et al. title Tunable magnetic structures in the helimagnet YBa (C u _ 1 - x F e _ x ) _ 2 o _ 5 . journal Phys. Rev. Mater. volume 8 , pages 054404 ( year 2024 ). ://link.aps.org/doi/10.1103/PhysRevMaterials.8.054404
-
[31]
author Romaguera, A. , author Fabelo, O. , author Qureshi, N. , author Rodr \' guez-Velamaz \'a n, J. A. & author Garc \' a-Mu \ n oz, J. title Evidence of high-temperature magnetic spiral in ybacufeo5 single-crystal by spherical neutron polarimetry . journal Communications Materials volume 5 , pages 273 ( year 2024 ). ://doi.org/10.1038/s43246-024-00710-1
-
[32]
author Dahlbom, D. et al. title Sunny.jl: A julia package for spin dynamics . journal Journal of Open Source Software volume 10 , pages 8138 ( year 2025 ). ://doi.org/10.21105/joss.08138
-
[33]
author Navrotsky, A. & author Kleppa, O. title Thermodynamics of formation of simple spinels . journal Journal of Inorganic and Nuclear Chemistry volume 30 , pages 479--498 ( year 1968 ). ://www.sciencedirect.com/science/article/pii/0022190268804750
-
[34]
author Zinouyeva, M. et al. title X-ray analysis of Mg 0.2 Co 0.2 Ni 0.2 Cu 0.2 Zn 0.2 O: disentangling elemental contributions in a prototypical high-entropy oxide . journal Journal of Materials Chemistry A volume 14 , pages 1221--1233 ( year 2025 ). ://pubs.rsc.org/en/content/articlehtml/2025/ta/d5ta05324b
work page 2025
-
[35]
author Zhang, J. et al. title Long-range antiferromagnetic order in a rocksalt high entropy oxide . journal Chemistry of Materials volume 31 , pages 3705--3711 ( year 2019 ). ://doi.org/10.1021/acs.chemmater.9b00624
-
[36]
author Zhou, W. , author Lin, C. T. & author Liang, W. Y. title Synthesis and structural studies of the perovskite-related compound ybaco2o5 + x . journal Advanced Materials volume 5 , pages 735--738 ( year 1993 ). ://advanced.onlinelibrary.wiley.com/doi/abs/10.1002/adma.19930051010
-
[37]
author Sharma, M. & author Maitra, T. title Orbitally driven spin reorientation in mn-doped ybacufeo5 . journal Journal of Physics and Chemistry of Solids volume 181 , pages 111494 ( year 2023 ). ://www.sciencedirect.com/science/article/pii/S0022369723002846
work page 2023
-
[38]
author Suescun, L. et al. title Structural and magnetic study of LaBaCoCu o _ 5+ . journal Phys. Rev. B volume 71 , pages 144405 ( year 2005 ). ://link.aps.org/doi/10.1103/PhysRevB.71.144405
-
[39]
author Lai, Y.-C. , author Shu, G.-J. , author Chen, W.-T. , author Du, C.-H. & author Chou, F.-C. title Self-adjusted flux for the traveling solvent floating zone growth of ybacufeo5 crystal . journal Journal of Crystal Growth volume 413 , pages 100--104 ( year 2015 ). ://www.sciencedirect.com/science/article/pii/S0022024814008355
work page 2015
-
[40]
author Zhou, K.-J. et al. title I21: an advanced high-resolution resonant inelastic x-ray scattering beamline at diamond light source . journal Journal of Synchrotron Radiation volume 29 , pages 563–580 ( year 2022 ). ://dx.doi.org/10.1107/S1600577522000601
-
[41]
author Paul Scherrer Institute . title Swissfel furka . howpublished https://www.psi.ch/en/swissfel/furka ( year 2026 )
work page 2026
-
[42]
author Wang, Y. , author Fabbris, G. , author Dean, M. & author Kotliar, G. title Edrixs: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering . journal Computer Physics Communications volume 243 , pages 151--165 ( year 2019 ). ://www.sciencedirect.com/science/article/pii/S0010465519301353
work page 2019
-
[43]
author Kresse, G. & author Furthm\"uller, J. title Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set . journal Phys. Rev. B volume 54 , pages 11169--11186 ( year 1996 ). ://link.aps.org/doi/10.1103/PhysRevB.54.11169
-
[44]
author Kresse, G. & author Joubert, D. title From ultrasoft pseudopotentials to the projector augmented-wave method . journal Phys. Rev. B volume 59 , pages 1758--1775 ( year 1999 ). ://link.aps.org/doi/10.1103/PhysRevB.59.1758
-
[45]
author Perdew, J. P. & author Zunger, A. title Self-interaction correction to density-functional approximations for many-electron systems . journal Phys. Rev. B volume 23 , pages 5048--5079 ( year 1981 ). ://link.aps.org/doi/10.1103/PhysRevB.23.5048
-
[46]
author Dudarev, S. L. , author Botton, G. A. , author Savrasov, S. Y. , author Humphreys, C. J. & author Sutton, A. P. title Electron-energy-loss spectra and the structural stability of nickel oxide: An lsda+u study . journal Phys. Rev. B volume 57 , pages 1505--1509 ( year 1998 ). ://link.aps.org/doi/10.1103/PhysRevB.57.1505
-
[47]
author Scaramucci, A. et al. title Spiral order from orientationally correlated random bonds in classical xy models . journal Phys. Rev. Res. volume 2 , pages 013273 ( year 2020 ). ://link.aps.org/doi/10.1103/PhysRevResearch.2.013273
- [48]
-
[49]
author Lass, J. et al. title Commissioning of the novel continuous angle multi-energy analysis spectrometer at the paul scherrer institut . journal Review of Scientific Instruments volume 94 , pages 023302 ( year 2023 ). ://doi.org/10.1063/5.0128226
-
[50]
M. Morin, A. Scaramucci, M. Bartkowiak, E. Pomjakushina, G. Deng, D. Sheptyakov, L. Keller, J. Rodriguez-Carvajal, N. A. Spaldin, M. Kenzelmann, K. Conder, and M. Medarde. Incommensurate magnetic structure, fe/cu chemical disorder, and magnetic interactions in the high-temperature multiferroic YBaCuFeO _ 5 . Phys. Rev. B , 91:064408, Feb 2015
work page 2015
-
[51]
Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data
Koichi Momma and Fujio Izumi. Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data. Applied Crystallography , 44(6):1272--1276, 2011
work page 2011
-
[52]
David Dahlbom, Hao Zhang, Cole Miles, Sam Quinn, Alin Niraula, Bhushan Thipe, Matthew Wilson, Sakib Matin, Het Mankad, Steven Hahn, Daniel Pajerowski, Steve Johnston, Zhentao Wang, Harry Lane, Ying Wai Li, Xiaojian Bai, Martin Mourigal, Cristian D. Batista, and Kipton Barros. Sunny.jl: A julia package for spin dynamics. Journal of Open Source Software , 1...
work page 2025
-
[53]
The spin- heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides
Efstratios Manousakis. The spin- heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides. Rev. Mod. Phys. , 63:1--62, Jan 1991
work page 1991
-
[54]
Rezende, Antonio Azevedo, and Roberto L
Sergio M. Rezende, Antonio Azevedo, and Roberto L. Rodríguez-Suárez. Introduction to antiferromagnetic magnons. Journal of Applied Physics , 126(15):151101, 10 2019
work page 2019
-
[55]
A. L. Chernyshev and M. E. Zhitomirsky. Spin waves in a triangular lattice antiferromagnet: Decays, spectrum renormalization, and singularities. Phys. Rev. B , 79:144416, Apr 2009
work page 2009
-
[56]
Rajiv R. P. Singh. Thermodynamic parameters of the t=0, spin-1/2 square-lattice heisenberg antiferromagnet. Phys. Rev. B , 39:9760--9763, May 1989
work page 1989
- [57]
-
[58]
A. A. Katanin and A. P. Kampf. Spin excitations in la _ 2 cuo _ 4 : consistent description by inclusion of ring exchange. Phys. Rev. B , 66:100403, Sep 2002
work page 2002
-
[59]
James F. Annett, Richard M. Martin, A. K. McMahan, and S. Satpathy. Electronic hamiltonian and antiferromagnetic interactions in la _ 2 cuo _ 4 . Phys. Rev. B , 40:2620--2623, Aug 1989
work page 1989
-
[60]
Lake B. Toth S. Linear spin wave theory for single-q incommensurate magnetic structures. J Phys Condens Matter , 27:166002, Apr 2015
work page 2015
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.