Hall response of locally correlated two-dimensional electrons at low density

Abstract

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding model and a momentum-independent causal self-energy, representing interaction-induced correlations effects that are restricted to be local in space. We write general gauge-invariant equations for the conductivity tensor at first order in the magnetic field and solve them numerically (analytically when possible) in a minimal model of anisotropic square lattice with constant self-energy. Our results show that deviations from the universal behavior of the Hall constant, as observed in the semiclassical regime, appear upon entering the quantum regime, where the Fermi energy and interaction are comparable energy scales.

14 pages, 7 figures (Accepted version)

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• Magnetic 2D materials and heterostructures
• Quasi 1D electronic transport in a 2D magnetic semiconductor
• Bound on resistivity in flat-band materials due to the quantum metric
• Observation of Universal Hall Response in Strongly Interacting Fermions
• Hall effect in strongly correlated low dimensional systems
• Hall effect on the triangular lattice
• LinReTraCe: The Linear Response Transport Centre

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