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Erratum: Magneto-optical signatures of Volkov-Pankratov states in topological insulators

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Published 3 January 2020 Copyright © EPLA, 2020
, , Citation X. Lu and M. O. Goerbig 2019 EPL 128 39901 DOI 10.1209/0295-5075/128/39901

0295-5075/128/3/39901

Abstract

Original article: EPL, 126 (2019) 67004.

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Due to an error in our numerical calculations for the matrix element in eq. (10), the optical conductivity $\Re[\sigma_{xx}]$ of fig. 1(a) does not have the correct shape. Instead of a slight decrease as a function of ω, once the transitions $-n \to n+1$ and $-(n+1) \to n$ become active, the optical conductivity is slightly increased (see corrected fig. 1(a) below). In fact, the final exact behavior of the optical conductivity as a function of the photon energy is determined by the interplay between the matrix element and JDOS. Due to the ω-dependence in the matrix element, the steps can be curved upwards as in $\sigma_{zz}$ and downwards as in $\sigma_{xx}$ .

However, the mathematical expressions of our paper and the physical conclusions remain valid.

Fig. 1:

Fig. 1: $\Re[\sigma_{zz}]$ without (blue) and with (orange) a parallel magnetic field given by $l_B=1.5 l_s$ , measured by unity of $\sigma_0 = e^2 /h$ and excitation energy by the half bulk gap. The corresponding optical transitions of each peak are labeled above. The blue and orange peaks in the light-purple shaded area, where the bulk absorption signals are plotted in purple, are immersed in the bulk spectrum and thus cannot be seen experimentally.

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10.1209/0295-5075/128/39901