山西大学学报（自然科学版）2024，Vol.47Issue(3)：583-590,8.DOI:10.13451/j.sxu.ns.2023076
自旋轨道耦合Su-Schrieffer-Heeger模型的量子相变
Quantum Phase Transition of Su-Schrieffer-Heeger Model with Spin-orbit Coupling
摘要
Abstract
In this paper,the effects of short-range repulsion interactions between particles and spin-orbit coupling(SOC)effects on quantum phase and phase transitions of SSH(Su-Schrieffer-Heeger)models are studied.We used the DMRG(density-matrix renor-malization group method)to analyze the particle number density distribution,density structure factor,entanglement entropy and en-tanglement spectrum,etc.,in the weak interaction interval,there are a different number of non-trivial topological edge states under different spin-orbit coupling parameters,and with the enhancement of the interaction,the system chiral symmetry spontaneously breaks,and the density wave phase appears in the high-value region of spin-orbit coupling strength and interaction.We finally deter-mined the phase boundary and obtained the phase diagram.When the density structure factor is used to characterize the topological phase transition point of the model,it is found that the peak of the density structure factor has mutations at the phase transition point at the small size,and when the system size is large enough,the mutation disappears and the peak value shows singularity.关键词
超冷费米气体/自旋轨道耦合/密度波相/拓扑Key words
ultra-cold Fermi gas/spin-orbit coupling/density wave phase/topology分类
数理科学引用本文复制引用
孙文奇,梁军军..自旋轨道耦合Su-Schrieffer-Heeger模型的量子相变[J].山西大学学报（自然科学版）,2024,47(3):583-590,8.基金项目
国家自然科学基金(2016012) （2016012）
