Dresden 2020 – wissenschaftliches Programm
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TT 21.7: Vortrag
Dienstag, 17. März 2020, 11:00–11:15, HSZ 103
e/2 and e/4 quantization of the boundary charge in one-dimensional Weyl semimetals — •Mikhail Pletyukhov1, Dante Kennes1, Jelena Klinovaja2, Daniel Loss2, and Herbert Schoeller1 — 1RWTH Aachen University, Germany — 2University of Basel, Switzerland
Universal properties of the boundary charge QB for one-dimensional and one-channel insulators have been studied in the recent papers . At half-filling, the gap can close under certain conditions, and in this talk we discuss the associated Weyl semimetal physics extending our previous study of the boundary charge. We find quantization of QB in two generic classes of charge e/2 or e/4 in the presence of nonlocal inversion/chiral symmetries. We make a generalization to the Weyl case of both the Diophantine equation  , which includes numbers of edge modes connecting adjacent Weyl points, and the universal phase-dependence of the boundary charge . Its fluctuations are shown to be very small in the quantized regions and featuring a remarkable power-law behaviour close to the phase points where the boundary charge makes a jump.
 M. Pletyukhov et al, arXiv: 1911.06886; 1911.06890
 I. Dana et al, J. Phys. C 18, L679 (1985); M. Kohmoto, Phys. Rev. B 39, 11943 (1989); Y. Hatsugai, Phys. Rev. B 48, 11851 (1993)