Universal Magnetic Oscillations of dc Conductivity in the Incoherent Regime of Correlated Systems
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Date
2021-11-05
Authors
Journal Title
Journal ISSN
Volume Title
Journal Title
Physical Review Letters
Volume Title
127
Article Title
196601
Publisher
American Physical Society (APS)
Abstract
Using the dynamical mean field theory we investigate the magnetic field dependence of dc conductivity in the Hubbard model on the square lattice, fully taking into account the orbital effects of the field introduced via the Peierls substitution. In addition to the conventional Shubnikov-de Haas quantum oscillations, associated with the coherent cyclotron motion of quasiparticles and the presence of a welldefined Fermi surface, we find an additional oscillatory component with a higher frequency that corresponds to the total area of the Brillouin zone. These paradigm-breaking oscillations appear at elevated temperature. This finding is in excellent qualitative agreement with the recent experiments on graphene superlattices. We elucidate the key roles of the off-diagonal elements of the current vertex and the incoherence of electronic states, and explain the trends with respect to temperature and doping.