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It is wellknown that certain ground state property of a quantum manybody system is encoded in a minimum data set, including only the space group symmetry and the particle filling number. One famous example is the LiebSchultzMattis (LSM) theorem, which rules out any onedimensional insulator that preserves lattice translation symmetry at halffilling. In this talk, we show that the topology of the ground state can also encoded in such a minimal input, if we consider magnetic translation symmetry instead of the usual space group symmetries. We introduce and prove a new class of LSMtype theorems in two dimensions, which dictate any unfractionalized insulating ground state to be a symmetry protected topological (SPT) phase with robust edge states, such as a topological insulator. We will discuss how these theorems can help us search for numerical models, and experimental realizations of SPT phases in correlated materials.
\n\nSPEAKER:
YuanMing Lu, Ohio State University
190 ESB
falseICMT Seminar: "Search for symmetry protected topological phases from a minimum data set"
Speaker 
(signup)
YuanMing Lu, Ohio State University 

Date:  2/5/2018 
Time:  12 p.m. 
Location:  190 ESB 
Sponsor:  Institute for Condensed Matter Physics 
Event Type:  Seminar/Symposium 
It is wellknown that certain ground state property of a quantum manybody system is encoded in a minimum data set, including only the space group symmetry and the particle filling number. One famous example is the LiebSchultzMattis (LSM) theorem, which rules out any onedimensional insulator that preserves lattice translation symmetry at halffilling. In this talk, we show that the topology of the ground state can also encoded in such a minimal input, if we consider magnetic translation symmetry instead of the usual space group symmetries. We introduce and prove a new class of LSMtype theorems in two dimensions, which dictate any unfractionalized insulating ground state to be a symmetry protected topological (SPT) phase with robust edge states, such as a topological insulator. We will discuss how these theorems can help us search for numerical models, and experimental realizations of SPT phases in correlated materials.

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