Many-body Fredholm index for ground-state spaces and Abelian anyons

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Standard

Many-body Fredholm index for ground-state spaces and Abelian anyons. / Bachmann, Sven; Bols, Alex; De Roeck, Wojciech; Fraas, Martin.

I: Physical Review B, Bind 101, Nr. 8, 085138, 2020.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bachmann, S, Bols, A, De Roeck, W & Fraas, M 2020, 'Many-body Fredholm index for ground-state spaces and Abelian anyons', Physical Review B, bind 101, nr. 8, 085138. https://doi.org/10.1103/PhysRevB.101.085138

APA

Bachmann, S., Bols, A., De Roeck, W., & Fraas, M. (2020). Many-body Fredholm index for ground-state spaces and Abelian anyons. Physical Review B, 101(8), [085138]. https://doi.org/10.1103/PhysRevB.101.085138

Vancouver

Bachmann S, Bols A, De Roeck W, Fraas M. Many-body Fredholm index for ground-state spaces and Abelian anyons. Physical Review B. 2020;101(8). 085138. https://doi.org/10.1103/PhysRevB.101.085138

Author

Bachmann, Sven ; Bols, Alex ; De Roeck, Wojciech ; Fraas, Martin. / Many-body Fredholm index for ground-state spaces and Abelian anyons. I: Physical Review B. 2020 ; Bind 101, Nr. 8.

Bibtex

@article{2baf276500c049eab63f501f4b0c93ee,
title = "Many-body Fredholm index for ground-state spaces and Abelian anyons",
abstract = "We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional ground-state sector. The index is fractional, with the denominator given by p. In particular, this yields a short proof of the quantization of the Hall conductance and of the Lieb-Schulz-Mattis theorem. In the case that the index is not an integer, the argument provides an explicit construction of Wilson loop operators exhibiting a nontrivial braiding that can be used to create fractionally charged Abelian anyons.",
author = "Sven Bachmann and Alex Bols and {De Roeck}, Wojciech and Martin Fraas",
year = "2020",
doi = "10.1103/PhysRevB.101.085138",
language = "English",
volume = "101",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Many-body Fredholm index for ground-state spaces and Abelian anyons

AU - Bachmann, Sven

AU - Bols, Alex

AU - De Roeck, Wojciech

AU - Fraas, Martin

PY - 2020

Y1 - 2020

N2 - We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional ground-state sector. The index is fractional, with the denominator given by p. In particular, this yields a short proof of the quantization of the Hall conductance and of the Lieb-Schulz-Mattis theorem. In the case that the index is not an integer, the argument provides an explicit construction of Wilson loop operators exhibiting a nontrivial braiding that can be used to create fractionally charged Abelian anyons.

AB - We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional ground-state sector. The index is fractional, with the denominator given by p. In particular, this yields a short proof of the quantization of the Hall conductance and of the Lieb-Schulz-Mattis theorem. In the case that the index is not an integer, the argument provides an explicit construction of Wilson loop operators exhibiting a nontrivial braiding that can be used to create fractionally charged Abelian anyons.

UR - http://www.scopus.com/inward/record.url?scp=85082837473&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.101.085138

DO - 10.1103/PhysRevB.101.085138

M3 - Journal article

AN - SCOPUS:85082837473

VL - 101

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 8

M1 - 085138

ER -

ID: 257976923