Phonon damping in one-dimensional lattices with asymmetric interactions

作     者：Sihan Feng Weicheng Fu Yong Zhang Hong Zhao 

作者机构：Department of PhysicsXiamen UniversityXiamen 361005China Department of PhysicsTianshui NormalUniversityTianshui 74100lChina Lanzhou Center for Theoretical PhysicsKey Laboratory of Theoretical Physics of Gansu ProvinceLanzhou UniversityLanzhou 730oooChina 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2022年第65卷第11期

页      面：62-67页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 11975190, 11975189, 12005156, and 12047501) Natural Science Foundation of Gansu Province (Grant Nos. 20JR5RA494, and 21JR1RE289) Innovation Fund for Colleges and Universities from Department of Education of Gansu Province (Grant No. 2020B-169) Project of FuXi Scientifc Research Innovation Team, Tianshui Normal University (Grant No. FXD2020-02) Education Project of Open Competition for the Best Candidates from the Department of Education of Gansu Province (Grant No. 2021jyjbgs-06) 

主　　题：phonons heat conduction damping rate renormalization Fermi-Pasta-Ulam-Tsingou model 

摘      要：The symmetry of interparticle interaction plays an important role in determining the energy transport and diffusion behavior of one-dimensional(1D) lattices, not only in the process of hydrodynamics but also in the process of kinetics. In this paper, we study the relaxation properties of phonons in 1D lattices with asymmetric and symmetric interparticle interactions, exemplified by the famous Fermi-Pasta-Ulam-Tsingou model. Asymmetric interparticle interactions(AIIs) lead to larger damping rates of phonons as compared to symmetric ones in the low-temperature limit, and the difference gradually vanishes when the temperature increases. Moreover, in lattices with AIIs, the dependence of the damping rate Γ of phonons still follows a power-law on the wave number q, i.e., Γ ~q^(γ) for small q. In particular, at low temperatures, AIIs result in γ ≈ 1, which is out of the predictions of 3/2 ≤ γ ≤ 2 from various theories. Our results provide insights into understanding the anomalous heat conduction observed in 1D chains and ultra-low phonon heat conduction found in certain solids.