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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. 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:
URLURL TypeDescription
https://doi.org/10.1088/1742-5468/ab74ccDOIArticle
http://arxiv.org/abs/1712.08775arXivDiscussion Paper
ORCID:
AuthorORCID
Liu, Junyu0000-0003-1669-8039
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 AgencyGrant Number
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Industry CanadaUNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-073
Issue or Number:3
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:23 Mar 2020 15:36

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