Edge states enhanced by long-range hopping:An analytical study  

作　　者：Huiping Wang Li Ren Liguo Qin Yueyin Qiu 王会平;任莉;秦立国;邱岳寅(School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China;School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China [2]School of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

出　　处：《Chinese Physics B》2021年第10期513-522,共10页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11847061);the Startup Program of Shanghai University of Engineering Science.

摘　　要：We analyze the behavior of edge states in long-range(LR)interacting systems.In terms of lattice model Hamiltonian with the LR coupling,we determine analytically the condition of existence of edge states within the transfer matrix method(TMM).The expressions we obtain are general and hold for any choice of the LR hopping.The reason why edge states can appear is the transfer matrix in the bulk different from that in the boundary layers.Our predictions are in good agreement with numerical results by exact diagonalization.Our result is helpful in solving novel edge states in oneand two-dimensional(2D)superconductors with LR hopping and pairing.

关 键 词：edge states transfer matrix method long-range hopping 

分 类 号：O469[理学—凝聚态物理]