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.
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 -