Note on the Green's function formalism and topological invariants

Zhou, Yehao and Liu, Junyu (2020) Note on the Green's function formalism and topological invariants. Journal of Statistical Mechanics: Theory and Experiment, 2020 (3). Art. No. 033101. ISSN 1742-5468. doi:10.1088/1742-5468/ab74cc. https://resolver.caltech.edu/CaltechAUTHORS:20180109-160846653

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Abstract

It has been discovered previously that the topological order parameter could be identified from the topological data of the Green's function, namely the (generalized) TKNN invariant in general dimensions, for both non-interacting and interacting systems. In this note, we show that this phenomenon has a clear geometric derivation. This proposal could be regarded as an alternative proof for the identification of the corresponding topological invariant and the topological order parameter.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1088/1742-5468/ab74cc	DOI	Article
http://arxiv.org/abs/1712.08775	arXiv	Discussion Paper

ORCID:

Author	ORCID
Liu, Junyu	0000-0003-1669-8039

Alternate Title:

Note on Green Function Formalism and Topological Invariants

Additional Information:

A significant part of this work is contributed to the partial fulfilment of Perimeter Scholars International program of YZ. This work is initiated from a discussion between Jingxiang Wu and YZ. We thank Kevin Costello, Xie Chen and Davide Gaiotto for helpful communications. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. JL acknowledges support from the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Perimeter Institute for Theoretical Physics	UNSPECIFIED
Industry Canada	UNSPECIFIED
Ontario Ministry of Research and Innovation	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2017-073

Issue or Number:

DOI:

10.1088/1742-5468/ab74cc

Record Number:

CaltechAUTHORS:20180109-160846653

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20180109-160846653

Official Citation:

Yehao Zhou and Junyu Liu J. Stat. Mech. (2020) 033101

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

84211

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

10 Jan 2018 00:27

Last Modified:

12 Jul 2022 19:45

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