---
_id: '9285'
abstract:
- lang: eng
  text: We first review the problem of a rigorous justification of Kubo’s formula
    for transport coefficients in gapped extended Hamiltonian quantum systems at zero
    temperature. In particular, the theoretical understanding of the quantum Hall
    effect rests on the validity of Kubo’s formula for such systems, a connection
    that we review briefly as well. We then highlight an approach to linear response
    theory based on non-equilibrium almost-stationary states (NEASS) and on a corresponding
    adiabatic theorem for such systems that was recently proposed and worked out by
    one of us in [51] for interacting fermionic systems on finite lattices. In the
    second part of our paper, we show how to lift the results of [51] to infinite
    systems by taking a thermodynamic limit.
article_number: '2060004'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Stefan
  full_name: Teufel, Stefan
  last_name: Teufel
citation:
  ama: 'Henheik SJ, Teufel S. Justifying Kubo’s formula for gapped systems at zero
    temperature: A brief review and some new results. <i>Reviews in Mathematical Physics</i>.
    2021;33(01). doi:<a href="https://doi.org/10.1142/s0129055x20600041">10.1142/s0129055x20600041</a>'
  apa: 'Henheik, S. J., &#38; Teufel, S. (2021). Justifying Kubo’s formula for gapped
    systems at zero temperature: A brief review and some new results. <i>Reviews in
    Mathematical Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/s0129055x20600041">https://doi.org/10.1142/s0129055x20600041</a>'
  chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for
    Gapped Systems at Zero Temperature: A Brief Review and Some New Results.” <i>Reviews
    in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href="https://doi.org/10.1142/s0129055x20600041">https://doi.org/10.1142/s0129055x20600041</a>.'
  ieee: 'S. J. Henheik and S. Teufel, “Justifying Kubo’s formula for gapped systems
    at zero temperature: A brief review and some new results,” <i>Reviews in Mathematical
    Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.'
  ista: 'Henheik SJ, Teufel S. 2021. Justifying Kubo’s formula for gapped systems
    at zero temperature: A brief review and some new results. Reviews in Mathematical
    Physics. 33(01), 2060004.'
  mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for Gapped
    Systems at Zero Temperature: A Brief Review and Some New Results.” <i>Reviews
    in Mathematical Physics</i>, vol. 33, no. 01, 2060004, World Scientific Publishing,
    2021, doi:<a href="https://doi.org/10.1142/s0129055x20600041">10.1142/s0129055x20600041</a>.'
  short: S.J. Henheik, S. Teufel, Reviews in Mathematical Physics 33 (2021).
date_created: 2021-03-26T11:29:46Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-02-23T13:53:59Z
day: '01'
ddc:
- '500'
doi: 10.1142/s0129055x20600041
extern: '1'
external_id:
  arxiv:
  - '2002.08669'
has_accepted_license: '1'
intvolume: '        33'
issue: '01'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2002.08669
month: '02'
oa: 1
oa_version: Preprint
publication: Reviews in Mathematical Physics
publication_identifier:
  issn:
  - 0129-055X
  - 1793-6659
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Justifying Kubo’s formula for gapped systems at zero temperature: A brief
  review and some new results'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2021'
...