Vanishing Hall Response of Charged Fermions in a Transverse Magnetic Field.

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ID: 49700
2019
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Abstract
We study the Hall response of two-dimensional lattice systems of charged fermions in a transverse magnetic field, in the ballistic coherent limit. We identify a setup in which this response vanishes over wide regions of parameter space: the "Landauer-Büttiker" setup commonly studied for coherent quantum transport, consisting of a strip contacted to biased ideal reservoirs of charges. We show that this effect does not rely on particle-hole symmetry, and is robust to a variety of perturbations including variations of the transverse magnetic field, chemical potential, and temperature. We trace this robustness back to a topological property of the Fermi surface: the number of Fermi points with positive velocity of the system. We argue that the mechanism leading to a vanishing Hall response applies to noninteracting and interacting systems alike, which we verify in concrete examples using density-matrix renormalization group simulations.
Reference Key
filippone2019vanishingphysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Filippone, Michele;Bardyn, Charles-Edouard;Greschner, Sebastian;Giamarchi, Thierry;
Journal physical review letters
Year 2019
DOI
10.1103/PhysRevLett.123.086803
URL
Keywords
transport conductivity graphene swcnt transparent and conductive films

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