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An index for two-dimensional SPT states

An index for two-dimensional SPT states
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2021Embargo end date: 01 Jan 2021 United States English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 62 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Nikita Sopenko;

doi: 10.1063/5.0055704 , 10.48550/arxiv.2101.00801

arXiv: 2101.00801

An index for two-dimensional SPT states

Abstract

We define an index for 2D G-invariant invertible states of bosonic lattice systems in the thermodynamic limit for a finite symmetry group G with a unitary action. We show that this index is an invariant of the symmetry protected phase.

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United States
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Keywords

Quantum Physics, Strongly Correlated Electrons (cond-mat.str-el), Classical and relativistic thermodynamics, FOS: Physical sciences, Mathematical Physics (math-ph), 530, Quantum field theory on lattices, Finite-dimensional groups and algebras motivated by physics and their representations, Condensed Matter - Strongly Correlated Electrons, Bosonic systems in quantum theory, Quantum Physics (quant-ph), Mathematical Physics

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 13
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
Green
bronze