典型文献
Topological and dynamical phase transitions in the Su-Schrieffer-Heeger model with quasiperiodic and long-range hoppings
文献摘要：
Disorders and long-range hoppings can induce exotic phenomena in condensed matter and artificial systems.We study the topological and dynamical properties of the quasiperiodic Su-Schrier-Heeger model with long-range hoppings.It is found that the interplay of quasiperiodic disorder and long-range hopping can induce topological Anderson insulator phases with non-zero winding numbers w=1,2,and the phase boundaries can be consistently revealed by the divergence of zero-energy mode localization length.We also investigate the nonequilibrium dynamics by ramping the long-range hopping along two different paths.The critical exponents extracted from the dynamical behavior agree with the Kibbble-Zurek mechanic prediction for the path with W=0.90.In particular,the dynamical exponent of the path crossing the multicritical point is numerical obtained as 1/6～0.167,which agrees with the unconventional finding in the previously studied XY spin model.Besides,we discuss the anomalous and non-universal scaling of the defect density dynamics of topological edge states in this disordered system under open boundary condictions.
文献关键词：
中图分类号：
作者姓名：
Wei-Jie Zhang;Yi-Piao Wu;Ling-Zhi Tang;Guo-Qing Zhang
作者机构：
Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials,School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou 510006,China;Guangdong-Hong Kong Joint Laboratory of Quantum Matter,Frontier Research Institute for Physics,South China Normal University,Guangzhou 510006,China
文献出处：
引用格式：
[1]Wei-Jie Zhang;Yi-Piao Wu;Ling-Zhi Tang;Guo-Qing Zhang-.Topological and dynamical phase transitions in the Su-Schrieffer-Heeger model with quasiperiodic and long-range hoppings)[J].理论物理,2022(07):146-153
A类：
Schrier,Kibbble,Zurek,multicritical,condictions
B类：
Topological,dynamical,transitions,Su,Schrieffer,Heeger,model,quasiperiodic,range,hoppings,Disorders,can,induce,exotic,phenomena,condensed,matter,artificial,systems,We,study,topological,properties,It,found,that,interplay,Anderson,insulator,phases,zero,winding,numbers,boundaries,consistently,revealed,by,divergence,energy,localization,length,also,investigate,nonequilibrium,dynamics,ramping,along,two,different,paths,exponents,extracted,from,behavior,mechanic,prediction,In,particular,crossing,point,numerical,obtained,which,agrees,unconventional,finding,previously,studied,XY,spin,Besides,we,discuss,anomalous,universal,scaling,defect,density,edge,states,this,disordered,under,open,boundary
AB值：
0.541986
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