TY - JOUR

T1 - Erratum

T2 - Exponentially localized Wannier functions in periodic zero flux magnetic fields (Journal of Mathematical Physics (2011) 52 (112103) DOI: 10.1063/1.3657344)

AU - De Nittis, Giuseppe

AU - Lein, Max

N1 - Publisher Copyright:
© 2020 The Authors.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - 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.

AB - 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.

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U2 - 10.1063/5.0021320

DO - 10.1063/5.0021320

M3 - Comment/debate

AN - SCOPUS:85096326370

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

M1 - 119901

ER -