Published March 2020
| Version Submitted
Journal Article
Open
Note on the Green's function formalism and topological invariants
Creators
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1.
Perimeter Institute
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2.
University of Waterloo
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3.
California Institute of Technology
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.
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.Attached Files
Submitted - 1712.08775.pdf
Files
1712.08775.pdf
Additional details
Additional titles
- Alternative title
- Note on Green Function Formalism and Topological Invariants
Identifiers
- Eprint ID
- 84211
- Resolver ID
- CaltechAUTHORS:20180109-160846653
Related works
- Describes
- http://arxiv.org/abs/1712.08775 (URL)
Funding
- Perimeter Institute for Theoretical Physics
- Industry Canada
- Ontario Ministry of Research and Innovation
- Department of Energy (DOE)
- DE-SC0011632
Dates
- Created
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2018-01-10Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2017-073