title: Realizing Tao-Thouless-like state in fractional quantum spin Hall effect.
abstract: The quest for exotic quantum states of matter has become one of the most challenging tasks in modern condensed matter communications. Interplay between topology and strong electron-electron interactions leads to lots of fascinating effects since the discovery of the fractional quantum Hall effect. Here, we theoretically study the Rashba-type spin-orbit coupling effect on a fractional quantum spin Hall system by means of finite size exact diagonalization. Numerical evidences from the ground degeneracies, states evolutions, entanglement spectra, and static structure factor calculations demonstrate that non-trivial fractional topological Tao-Thouless-like quantum state can be realized in the fractional quantum spin Hall effect in a thin torus geometric structure by tuning the strength of spin-orbit coupling. Furthermore, the experimental realization of the Tao-Thouless-like state as well as its evolution in optical lattices are also proposed. The importance of this prediction provides significant insight into the realization of exotic topological quantum states in optical lattice, and also opens a route for exploring the exotic quantum states in condensed matters in future.
authors.affiliation: Department of Physics and State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China.
authors.forename: Chen-Rong
authors.initials: CR
authors.lastname: Liu
authors.affiliation: Department of Physics and State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China.
authors.forename: Yao-Wu
authors.initials: YW
authors.lastname: Guo
authors.affiliation: State Key Laboratory of Functional Materials for Informatics and Shanghai Center for Superconductivity, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China.|CAS Center for Excellence in Superconducting Electronics, Shanghai 200050, China.
authors.forename: Zhuo-Jun
authors.initials: ZJ
authors.lastname: Li
authors.affiliation: State Key Laboratory of Functional Materials for Informatics and Shanghai Center for Superconductivity, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China.|CAS Center for Excellence in Superconducting Electronics, Shanghai 200050, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Li
authors.affiliation: Department of Physics and State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China.|Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Chen