title: Scaling of geometric quantum discord close to a topological phase transition.
abstract: Quantum phase transition is one of the most interesting aspects in quantum many-body systems. Recently, geometric quantum discord has been introduced to signature the critical behavior of various quantum systems. However, it is well-known that topological quantum phase transition can not be described by the conventional Landau's symmetry breaking theory, and thus it is unknown that whether previous study can be applicable in this case. Here, we study the topological quantum phase transition in Kitaev's 1D p-wave spinless quantum wire model in terms of its ground state geometric quantum discord. The derivative of geometric quantum discord is nonanalytic at the critical point, in both zero temperature and finite temperature cases. The scaling behavior and the universality are verified numerically. Therefore, our results clearly show that all the key ingredients of the topological phase transition can be captured by the nearest neighbor and long-range geometric quantum discord.
authors.affiliation: College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China.
authors.forename: Chuan-Jia
authors.initials: CJ
authors.lastname: Shan
authors.affiliation: 1] College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China [2] Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunication, Nanjing 210003, China.
authors.forename: Wei-Wen
authors.initials: WW
authors.lastname: Cheng
authors.affiliation: College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China.
authors.forename: Ji-Bing
authors.initials: JB
authors.lastname: Liu
authors.affiliation: College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China.
authors.forename: Yong-Shan
authors.initials: YS
authors.lastname: Cheng
authors.affiliation: College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China.
authors.forename: Tang-Kun
authors.initials: TK
authors.lastname: Liu