Laser Physics Letters

Detecting topological phase transition in 1D superconducting systems with next nearest neighbor hopping

Lingli Zhu -, Qian Huang, Hui-Lin Dai, Cui Kong, Yu-lin Feng, Chuan-Jia Shan

Published Dec 5, 2014• 2 citations

Abstract

We investigate the effect of next-nearest-neighbor hopping on topological quantum phase transitions (QPTs) that are characterized by the number of Majorana zero modes in one-dimensional (1D) p-wave superconducting systems. We also numerically analyze the scaling behavior and the universality of the Berry phase (BP) of the ground state close to the critical point. For critical line (I), the derivative of the ground-state BP is nonanalytic at the phase boundaries. For the phase boundary (II), a noncontractible BP of the ground state itself is also a witness of quantum phase transition.

DOI: 10.1088/1612-2011/12/1/015202

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