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TT: Fachverband Tiefe Temperaturen

TT 21: Topological Semimetals 1

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 Q_B for one-dimensional and one-channel insulators have been studied in the recent papers [1]. 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 Q_B 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 [2] , which includes numbers of edge modes connecting adjacent Weyl points, and the universal phase-dependence of the boundary charge [1]. 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.

[1] M. Pletyukhov et al, arXiv: 1911.06886; 1911.06890

[2] 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)