Effect of Interaction on the Majorana Zero Modes in the Kitaev Chain at Half Filling
Zhidan Li1, Qiang Han1,2**
1Department of Physics, Renmin University of China, Beijing 100872 2Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872
Abstract：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 $U_{\rm p}$ is revealed in the topological region of the phase diagram. We show that at $U_{\rm p}$ 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 $U_{\rm p}$ 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.
. [J]. 中国物理快报, 2018, 35(4): 47101-.
Zhidan Li, Qiang Han. Effect of Interaction on the Majorana Zero Modes in the Kitaev Chain at Half Filling. Chin. Phys. Lett., 2018, 35(4): 47101-.
2018, Vol. 35 
