Effect of Interaction on the Majorana Zero Modes in the Kitaev Chain at Half Filling  

作　　者：Zhidan Li Qiang Han 李志聃;韩强(Department of Physics, Renmin University of China;Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China)

机构地区：[1]Department of Physics, Renmin University of China, Beijing 100872 [2]Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872

出　　处：《Chinese Physics Letters》2018年第4期91-94,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 11274379;the Research Funds of Renmin University of China under Grant No 14XNLQ07

摘　　要：The one-dimensional interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations, and various physical quantities as a function of the fermion-fermion interaction U are calculated systematically using the density matrix renormalization group method. A special value of interaction Up is revealed in the topological region of the phase diagram. We show that at Up the ground states are strictly two-fold degenerate even though the chain length is finite and the zero-energy peak due to the Majorana zero modes is maximally enhanced and exactly localized at the end sites. Here Up may be attractive or repulsive depending on other system parameters. We also give a qualitative understanding of the effect of interaction under the self-consistent mean field framework.The one-dimensional interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations, and various physical quantities as a function of the fermion-fermion interaction U are calculated systematically using the density matrix renormalization group method. A special value of interaction Up is revealed in the topological region of the phase diagram. We show that at Up the ground states are strictly two-fold degenerate even though the chain length is finite and the zero-energy peak due to the Majorana zero modes is maximally enhanced and exactly localized at the end sites. Here Up may be attractive or repulsive depending on other system parameters. We also give a qualitative understanding of the effect of interaction under the self-consistent mean field framework.

关 键 词：In Effect of Interaction on the Majorana Zero Modes in the Kitaev Chain at Half Filling MZM 

分 类 号：O469[理学—凝聚态物理]