Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice

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Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice. / Bols, Alex; Werner, Albert H.

In: Annales Henri Poincare, Vol. 23, 16.08.2021, p. 549-554.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bols, A & Werner, AH 2021, 'Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice', Annales Henri Poincare, vol. 23, pp. 549-554. https://doi.org/10.1007/s00023-021-01097-2

APA

Bols, A., & Werner, A. H. (2021). Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice. Annales Henri Poincare, 23, 549-554. https://doi.org/10.1007/s00023-021-01097-2

Vancouver

Bols A, Werner AH. Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice. Annales Henri Poincare. 2021 Aug 16;23:549-554. https://doi.org/10.1007/s00023-021-01097-2

Author

Bols, Alex ; Werner, Albert H. / Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice. In: Annales Henri Poincare. 2021 ; Vol. 23. pp. 549-554.

Bibtex

@article{79c82a251eea49a1ab8e2bb4a1c16a89,
title = "Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice",
abstract = "The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single-particle picture, be supported in the absolutely continuous spectrum of the single-particle Hamiltonian. We show in this note that if a free fermion system on the two-dimensional lattice is gapped in the bulk and has a non-vanishing Hall conductance, then the same system put on a half-space geometry supports edge modes whose spectrum fills the entire bulk gap and is absolutely continuous.",
keywords = "STATES, BULK, CONDUCTANCE, EQUALITY",
author = "Alex Bols and Werner, {Albert H.}",
year = "2021",
month = aug,
day = "16",
doi = "10.1007/s00023-021-01097-2",
language = "English",
volume = "23",
pages = "549--554",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Springer Basel AG",

}

RIS

TY - JOUR

T1 - Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice

AU - Bols, Alex

AU - Werner, Albert H.

PY - 2021/8/16

Y1 - 2021/8/16

N2 - The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single-particle picture, be supported in the absolutely continuous spectrum of the single-particle Hamiltonian. We show in this note that if a free fermion system on the two-dimensional lattice is gapped in the bulk and has a non-vanishing Hall conductance, then the same system put on a half-space geometry supports edge modes whose spectrum fills the entire bulk gap and is absolutely continuous.

AB - The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single-particle picture, be supported in the absolutely continuous spectrum of the single-particle Hamiltonian. We show in this note that if a free fermion system on the two-dimensional lattice is gapped in the bulk and has a non-vanishing Hall conductance, then the same system put on a half-space geometry supports edge modes whose spectrum fills the entire bulk gap and is absolutely continuous.

KW - STATES

KW - BULK

KW - CONDUCTANCE

KW - EQUALITY

U2 - 10.1007/s00023-021-01097-2

DO - 10.1007/s00023-021-01097-2

M3 - Journal article

VL - 23

SP - 549

EP - 554

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

ER -

ID: 276646554