Edge modes in finite-size systems with different edge terminals  

作　　者：Huiping Wang Li Ren Xiuli Zhang Liguo Qin 王会平;任莉;张修丽;秦立国(School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China)

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

出　　处：《Chinese Physics B》2024年第10期381-387,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11847061);Domestic Visiting Program for Young and Middle-aged Teachers in Shanghai Universities.

摘　　要：We investigate the behavior of edge modes in the presence of different edge terminations and long-range(LR)hopping.Here,we mainly focus on such model crystals with two different types of structures(type I:“…-P-Q-P-Q-…”and type II:“…=P-Q=P-Q=…”),where P and Q represent crystal lines(CLs),while the symbols“-”and“=”denote the distance between the nearest neighbor(NN)CLs.Based on the lattice model Hamiltonian with LR hopping,the existence of edge modes is determined analytically by using the transfer matrix method(TMM)when different edge terminals are taken into consideration.Our findings are consistent with the numerical results obtained by the exact diagonalization method.We also notice that edge modes can exhibit different behaviors under different edge terminals.Our result is helpful in solving novel edge modes in honeycomb crystalline graphene and transition metal dichalcogenides with different edge terminals.

关 键 词：edge modes long-range hopping different edge terminals 

分 类 号：O469[理学—凝聚态物理]