Skip to content

The 423rd forum: Construction of Symmetry-Protected Topological Phases with Duality Transformations

Date: 2023-12-05
Time: 10:00
Venue: M249
Speaker: Professor Masaki Oshikawa

University of Tokyo

直播链接:http://as-conf.iphy.ac.cn/liveRoomsMobile?lid=115

报告人简介:

Prof. Masaki Oshikawa is a theorist working in the fields of condensed matter physics and statistical physics. Prof. Oshikawa obtained his PhD from the University of Tokyo in 1995. After a brief Research Associateship in the University of Tokyo and a Killam Postdoctoral Fellowship in the University of British Columbia, he joined the Tokyo Institute of Technology in 1998. In 2006, Prof. Oshikawa moved to University of Tokyo and has been there since then.  He received the Ryogo Kubo Memorial Award from the Inoue Foundation for Science, the SEST Award for Young Scientist from the Society of Electron Spin Science and Technology of Japan, the JSPS Prize from the Japanese Society for the Promotion of Science, and elected Fellow by the American Physical Society.

报告摘要:
 In 1992, Kennedy and Tasaki constructed a non-local unitary transformation that maps between a Z2×Z2 spontaneously symmetry breaking phase and the Haldane gap phase, which is a prototypical Symmetry-Protected Topological (SPT) phase in modern framework, on an open spin chain. In this talk, I will revisit this intriguing mapping with respect to the modern understanding of SPT phases. First, we can define the mapping on a closed chain by sacrificing the unitarity. The operator realizing such a non-unitary transformation satisfies non-invertible fusion rule, and implements a generalized gauging of the Z2×Z2 global symmetry. These modern aspects are made evident by defining the Kennedy-Tasaki transformation on S=1/2 systems. We can then apply the duality mapping to systematically construct numerous SPT phases, including a variety of "gapless SPT phases".

邀请人:万    源(8264 9403)

联系人:胡    颖(8264 9361)