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Add to Calendar 2/5/2018 12:00 pm 2/5/2018 America/Chicago ICMT Seminar: "Search for symmetry protected topological phases from a minimum data set" DESCRIPTION:

It is well-known that certain ground state property of a quantum many-body system is encoded in a minimum data set, including only the space group symmetry and the particle filling number. One famous example is the Lieb-Schultz-Mattis (LSM) theorem,  which rules out any one-dimensional insulator that preserves lattice translation symmetry at half-filling. 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 LSM-type 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:

Yuan-Ming Lu, Ohio State University

190 ESB

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ICMT Seminar: "Search for symmetry protected topological phases from a minimum data set"

Speaker Yuan-Ming 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 well-known that certain ground state property of a quantum many-body system is encoded in a minimum data set, including only the space group symmetry and the particle filling number. One famous example is the Lieb-Schultz-Mattis (LSM) theorem,  which rules out any one-dimensional insulator that preserves lattice translation symmetry at half-filling. 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 LSM-type 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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