Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry

Ya. I. Rodionov, K. I. Kugel, and Franco Nori
Phys. Rev. B 94, 195108 – Published 3 November 2016

Abstract

Using the Landau-Zener-Stückelberg-Majorana-type (LZSM) semiclassical approach, we study both graphene and a thin film of a Weyl semimetal subjected to a strong ac electromagnetic field. The spectrum of quasienergies in the Weyl semimetal turns out to be similar to that of a graphene sheet. It has been predicted qualitatively that the transport properties of strongly irradiated graphene oscillate as a function of the radiation intensity [S. V. Syzranov et al., Phys. Rev. B 88, 241112 (2013)]. Here we obtain rigorous quantitative results for a driven linear conductance of graphene and a thin film of a Weyl semimetal. The exact quantitative structure of oscillations exhibits two contributions. The first one is a manifestation of the Ramsauer-Townsend effect, while the second contribution is a consequence of the LZSM interference defining the spectrum of quasienergies.

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  • Received 25 August 2016

DOI:https://doi.org/10.1103/PhysRevB.94.195108

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Ya. I. Rodionov1,2, K. I. Kugel1,3, and Franco Nori4,5

  • 1Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Izhorskaya str. 13, Moscow 125412, Russia
  • 2National University of Science and Technology MISIS, Moscow 119049, Russia
  • 3National Research University Higher School of Economics, Moscow 109028, Russia
  • 4Center for Emergent Matter Science, RIKEN, Wako-shi, Saitama 351-0198, Japan
  • 5Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Issue

Vol. 94, Iss. 19 — 15 November 2016

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