Scientific article
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Vanishing Hall Response of Charged Fermions in a Transverse Magnetic Field

Published inPhysical Review Letters, vol. 123, no. 8, 086803
Publication date2019

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.

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Citation (ISO format)
FILIPPONE, Michele et al. Vanishing Hall Response of Charged Fermions in a Transverse Magnetic Field. In: Physical Review Letters, 2019, vol. 123, n° 8, p. 086803. doi: 10.1103/PhysRevLett.123.086803
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ISSN of the journal0031-9007

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