Shiqian Hu, School of Physics and Astronomy, Yunnan Key Laboratory for Quantum Information, Yunnan University, Kunming 650091, Yunnan, China. E-mail: shiqian@ynu.edu.cn
Abstract
Understanding the interplay between magnetic ordering and phonon thermal transport is crucial for the thermal management of two-dimensional magnetic devices. Here, using first-principles calculations combined with the phonon Boltzmann transport equation, we systematically investigate the lattice thermal transport properties of four-layer CrSBr during its layer-by-layer magnetic switching process. As the magnetic configuration evolves from the antiferromagnetic (AFM) state to the ferromagnetic (FM) state through successive spin reversals, the lattice thermal conductivity exhibits a pronounced nonmonotonic variation. In particular, the intermediate ferrimagnetic FiM1 state shows a dramatic reduction in thermal conductivity of approximately 37.2% along x and 54.5% along y compared with the AFM state, whereas the FiM2 and FM states retain thermal conductivities close to the AFM configuration. Detailed analysis reveals that magnetic switching only weakly affects harmonic phonon properties, including phonon dispersions and group velocities. In contrast, the FiM1 state exhibits strongly enhanced anharmonic phonon scattering and reduced phonon participation ratios in the low-frequency region dominated by heat-carrying phonons. Further layer-resolved vibrational analysis identifies a mixed vibrational character in the FiM1 state, combining AFM-like layer-selective and FM-like layer-equivalent features, which is correlated with enhanced low-frequency anharmonic phonon scattering. Our results reveal a unique mechanism for magnetically tunable thermal transport in van der Waals magnets and provide microscopic insights into magnetic-order-dependent phonon thermal transport in layered magnetic materials.
Keywords
References
-
1. Kim SK, Beach GSD, Lee KJ, Ono T, Rasing T, Yang H. Ferrimagnetic spintronics. Nat Mater. 2022;21(1):24-34.[DOI]
-
3. Tannous C, Comstock RL. Magnetic information-storage materials. In: Kasap S, Capper P, editors. Springer handbook of electronic and photonic materials. Cham: Springer; 2017. p. 1.[DOI]
-
4. Spaldin NA. Magnetic materials: Fundamentals and applications. 2nd ed. Cambridge: Cambridge University Press;2010:[DOI]
-
5. Coey JMD. Magnetism and magnetic materials. 1st ed. Cambridge: Cambridge University Press;2010:[DOI]
-
6. Comstock RL. Review Modern magnetic materials in data storage. J Mater Sci: Mater Electron. 2002;13(9):509-523.[DOI]
-
7. Xiang J, Zhang C, Gao Y, Schmidt W, Schmalzl K, Wang CW, et al. Giant magnetocaloric effect in spin supersolid candidate Na2BaCo(PO4)2. Nature. 2024;625(7994):270-275.[DOI]
-
8. Hadámek T, Fiorentini S, Bendra M, Ender J, de Orio RL, Goes W, et al. Temperature increase in STT-MRAM at writing: A fully three-dimensional finite element approach. Solid-State Electronics. 2022;193:108269.[DOI]
-
9. Wang Y, Cai H, Naviner LAB, Zhang Y, Klein JO, Zhao WS. Compact thermal modeling of spin transfer torque magnetic tunnel junction. Microelectron Reliab. 2015;55(9-10):1649-1653.[DOI]
-
10. Hadámek T, Jørstad NP, de Orio RL, Goes W, Selberherr S, Sverdlov V. A comprehensive study of temperature and its effects in SOT-MRAM devices. Micromachines. 2023;14(8):1581.[DOI]
-
11. Zhang L, Cheng Y, Kang W, Zhang Y, Torres L, Zhao W, et al. Reliability and performance evaluation for STT-MRAM under temperature variation. In: 2016 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE); 2016 Apr 18-20; Montpellier, France. Piscataway: IEEE; 2016. p. 1-4.[DOI]
-
12. Ming H, Luo ZZ, Zou Z, Kanatzidis MG. Strategies and prospects for high-performance Te-free thermoelectric materials. Chem Rev. 2025;125(7):3932-3975.[DOI]
-
13. Park S, Roh JW, Park J, Cho H, Kang SM, Park O, et al. Enhanced thermoelectric performance of TiS2 via large thermal conductivity reduction by solid solution alloying with TiSe2. J Korean Ceram Soc. 2024;61(2):335-341.[DOI]
-
14. Li C, Zhou Z, Lou Y, Fu L. Lattice softening in thermoelectric materials. Microstructures. 2025;5(4):2025075.[DOI]
-
15. Chen Q, Wang NY, Shen KW, Sun J. The effect of magnetic order on the thermal transport properties of the intrinsic two-dimensional magnet 2H-VSe2. Phys Chem Chem Phys. 2023;25(14):9817-9823.[DOI]
-
16. Qin G, Wang H, Zhang L, Qin Z, Hu M. Giant effect of spin-lattice coupling on the thermal transport in two-dimensional ferromagnetic CrI3. J Mater Chem C. 2020;8(10):3520-3526.[DOI]
-
18. Zhang D, Wang K, Chen S, Zhang L, Ni Y, Zhang G. Regulating the thermal conductivity of monolayer MnPS3 by a magnetic phase transition. Nanoscale. 2023;15(3):1180-1185.[DOI]
-
19. Chen R, Luo Y, Xiong L, Ren W, Hu S. Revealing the role of magnetic disorder in phonon transport of monolayer CrOCl. Phys Rev B. 2025;111(22):L220301.[DOI]
-
20. Liu Y, Zhi Y, Liu Q, Liu Y, Jiang X, Zhao J. Lattice thermal conductivity in CrSBr: The effects of interlayer interaction, magnetic ordering and external strain. J Phys: Condens Matter. 2025;37(12):125701.[DOI]
-
21. Li H, Yang Y, Xia Z, Wang Y, Wei J, He J, et al. Stacking effects on magnetic, vibrational, and optical properties of CrSBr bilayers. Phys Rev B. 2025;111(12):125411.[DOI]
-
22. Loletti M, Molina-Sánchez A, Reparaz JS, Cartoixà X, Rurali R. Thermal conductivity and tunable thermal anisotropy of magnetic CrSBr monolayer. Adv Phys Res. 2026;5(6):e70123.[DOI]
-
23. Han L, Li Z, Tang Z, Wang X, Li J, He C, et al. Notable impact of magnetic order and flat phonon mode on the thermal transport properties of 2D magnetic semiconductor CrSBr. J Appl Phys. 2025;138(19):195101.[DOI]
-
24. Chen W, Zhao N, Huang Y, Zeng X, Zhang K, Zhou J, et al. Magnon-phonon coupling modulation via dimensional reduction in thin antiferromagnet MnPSe3 nanoribbons. Appl Phys Lett. 2024;124(11):112406.[DOI]
-
25. Wang Z, Xiang Y, Chen R, Sun Z, Hong C, Chen X, et al. Ferromagnet-like binary switching of a stoner-wohlfarth antiferromagnet. Nature. 2026;650(8101):340-345.[DOI]
-
26. Liu Z, Sun Y, Zhu C, Hong C, Gao Y, Sun Z, et al. Spin texture and tunneling magnetoresistance in atomically thin CrSBr. Phys Rev B. 2025;111(14):L140417.[DOI]
-
27. Tschudin MA, Broadway DA, Siegwolf P, Schrader C, Telford EJ, Gross B, et al. Imaging nanomagnetism and magnetic phase transitions in atomically thin CrSBr. Nat Commun. 2024;15(1):6005.[DOI]
-
28. Jo J, Suárez-Rodríguez M, Mañas-Valero S, Coronado E, Souza I, de Juan F, et al. Anomalous nonlinear magnetoconductivity in van der Waals magnet CrSBr. Adv Mater. 2025;37(16):2419283.[DOI]
-
29. Telford EJ, Dismukes AH, Lee K, Cheng M, Wieteska A, Bartholomew AK, et al. Layered antiferromagnetism induces large negative magnetoresistance in the van der Waals semiconductor CrSBr. Adv Mater. 2020;32(37):2003240.[DOI]
-
30. Rudenko AN, Rösner M, Katsnelson MI. Dielectric tunability of magnetic properties in orthorhombic ferromagnetic monolayer CrSBr. npj Comput Mater. 2023;9(1):83.[DOI]
-
31. Zhao G, Zhao Y, Zhang Y, Yang K, Guo Z, Liu J, et al. Doping-induced magnetic phase transition enables all-electrical spin control in CrSBr. Nat Commun. 2025;17:853.[DOI]
-
32. Pawbake A, Pelini T, Mohelsky I, Jana D, Breslavetz I, Cho CW, et al. Magneto-optical sensing of the pressure driven magnetic ground states in bulk CrSBr. Nano Lett. 2023;23(20):9587-9593.[DOI]
-
33. Tabataba-Vakili F, Nguyen HPG, Rupp A, Mosina K, Papavasileiou A, Watanabe K, et al. Doping-control of excitons and magnetism in few-layer CrSBr. Nat Commun. 2024;15:4735.[DOI]
-
34. Hafner J. Ab-initio simulations of materials using VASP: Density-functional theory and beyond. J Comput Chem. 2008;29(13):2044-2078.[DOI]
-
35. Blöchl PE. Projector augmented-wave method. Phys Rev B. 1994;50(24):17953-17979.[DOI]
-
36. Perdew JP, Burke K, Ernzerhof M. Generalized gradient approximation made simple. Phys Rev Lett. 1996;77(18):3865-3868.[DOI]
-
37. Chen Y, Samanta K, Shahed NA, Zhang H, Fang C, Ernst A, et al. Twist-assisted all-antiferromagnetic tunnel junction in the atomic limit. Nature. 2024;632(8027):1045-1051.[DOI]
-
38. Chen Y, Samanta K, Healey AJ, Fang C, Zhang H, Shahed NA, et al. Twisted atomic magnetic tunnel junctions with multiple nonvolatile states. Nat Commun. 2026;17(1):2439.[DOI]
-
39. Dudarev SL, Botton GA, Savrasov SY, Humphreys CJ, Sutton AP. Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study. Phys Rev B. 1998;57(3):1505-1509.[DOI]
-
40. Togo A. First-principles phonon calculations with phonopy and phono3py. J Phys Soc Jpn. 2023;92(1):012001.[DOI]
-
41. Li W, Carrete J, Katcho NA, Mingo N. ShengBTE: A solver of the Boltzmann transport equation for phonons. Comput Phys Commun. 2014;185(6):1747-1758.[DOI]
-
42. Bo X, Li F, Xu X, Wan X, Pu Y. Calculated magnetic exchange interactions in the van der Waals layered magnet CrSBr. New J Phys. 2023;25(1):013026.[DOI]
-
43. Bell RJ, Dean P. Atomic vibrations in vitreous silica. Discuss Faraday Soc. 1970;50:55-61.[DOI]
-
44. Schober HR, Oligschleger C. Low-frequency vibrations in a model glass. Phys Rev B. 1996;53(17):11469-11480.[DOI]
-
45. Tang S, Xiao Y, Wu M, Zhang P, Ai P, Wan D, et al. Interface-driven phonon scattering and carrier dynamics in asymmetric GeS/GeSe van der Waals heterostructure. Appl Phys Lett. 2025;127(17):171604.[DOI]
-
46. Pawbake A, Pelini T, Wilson NP, Mosina K, Sofer Z, Heid R, et al. Raman scattering signatures of strong spin-phonon coupling in the bulk magnetic van der Waals material CrSBr. Phys Rev B. 2023;107(7):075421.[DOI]
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