Quantized Nonlinear Conductance in Ballistic Metals

Abstract

We introduce a non-linear frequency dependent D+1 terminal conductance that characterizes a D dimensional Fermi gas, generalizing the Landauer conductance in D=1. For a 2D ballistic conductor we show that this conductance is quantized and probes the Euler characteristic of the Fermi sea. We critically address the roles of electrical contacts and of Fermi liquid interactions, and we propose experiments on 2D Dirac materials such as graphene using a triple point contact geometry.

9 pages, 4 figures. Published version. Contains additional clarifications and expanded supplemental material

References in corpus (2)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Theory of plasmonic effects in nonlinear optics: the case of graphene

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• Drude weights in one-dimensional systems with a single defect
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems