Erratum: Exponentially localized Wannier functions in periodic zero flux magnetic fields (Journal of Mathematical Physics (2011) 52 (112103) DOI: 10.1063/1.3657344)

Giuseppe De Nittis, Max Lein

Research output: Contribution to journalComment/debatepeer-review

Abstract

A reader informed us of an error in Theorem 3.3, which characterizes magnetic symmetries; more precisely, items (ii) and (iii) are only true in d = 1 and generally false in d 1. Therefore, Theorem 1.5 is false in dimension d 1—under the stated assumptions in Ref. 2, the existence of a magnetic time-reversal symmetry is not automatic. Indeed, the Haldane model is an explicit counterexample in dimension 2.3 Consequently, we need to add this as an extra hypothesis to our assumptions in our main results of Ref. 2, namely, Theorems 1.6–1.8 only hold once we impose.

Original languageEnglish
Article number119901
JournalJournal of Mathematical Physics
Volume61
Issue number11
DOIs
Publication statusPublished - 2020 Nov 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Erratum: Exponentially localized Wannier functions in periodic zero flux magnetic fields (Journal of Mathematical Physics (2011) 52 (112103) DOI: 10.1063/1.3657344)'. Together they form a unique fingerprint.

Cite this