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

作者：Zhu Ling Li^*; Huang Qian; Dai Hui Lin; Kong Cui; Feng Yu lin; Shan Chuan Jia

来源：Laser Physics Letters, 2015, 12(1): 015202.

DOI：10.1088/1612-2011/12/1/015202

• Berry phase
• Majorana zero modes
• next nearest neighbor hopping

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.

• 出版日期2015-1
• 单位湖北师范大学