Detail:

Abstract:
　　Spin is the fundamental electronic quantum degrees of freedom in solid state materials. In superconductors, Cooper pairs, as composed of two spin-1/2 particles, can have spin-1 angular momentum, leading to spin-triplet pairings. In this talk, we show that Majorana zero modes in solids has universal pure spin-triplet correlations for both time-reversal broken and respect topological superconductors (TSCs). These Majorana-induced spin-triplet correlations carry an intrinsic spin-phase which can be manipulated by gate tunable spin-orbit coupling and leads to spin-related fractional Josephson effect. Based on this, we further propose a systematic magnetic flux free approach to detect, manipulate and braid Majorana fermions by utilizing Majorana spin degree of freedom. Some new exotic phenomena due to spin-phase for time-reversal invariant topological superconductors will be discussed at the end.

Biosketch：
　　Prof. Xin Liu got his B.S. degree in Nankai University and M.S. degree in Chern Institute of Mathematics, Tianjin. He received his Ph. D. from Texas A&M University in 2012. After graduation, he had worked as a postdoctoral researcher in the Pennsylvania State University from 2012 to 2014 and Condensed Matter Theory Center, University of Maryland from 2014-2015. He joined Huazhong University of Science and Technology in June 2015.