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.

arXiv comment9 pages, 4 figures. Published version. Contains additional clarifications and expanded supplemental material

References in corpus (22)

• Entanglement Entropy and Quantum Field Theory
• Geometric and Renormalized Entropy in Conformal Field Theory
• Renormalization Group Approach to Interacting Fermions
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Quantized circular photogalvanic effect in Weyl semimetals
• Landauer Conductance of Luttinger Liquids with Leads
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Transport in an inhomogeneous interacting one--dimensional system
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Entanglement Entropy and the Fermi Surface
• Topological Lifshitz transitions
• Exotic Lifshitz transitions in topological materials
• Photogalvanic Effect in Weyl Semimetals from First Principles
• Interactions remove the quantization of the chiral photocurrent at Weyl points
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• A dynamic scattering approach for a gated interacting wire
• Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
• Theory of plasmonic effects in nonlinear optics: the case of graphene
• Landauer Conductance and Nonequilibrium Noise of One-Dimensional Interacting Electron Systems
• Conductance of a quantum wire: Landauer's approach versus Kubo formula
• A minimal model of quantized conductance in interacting ballistic quantum wires

Cited by in corpus (10)

• Topological Multipartite Entanglement in a Fermi Liquid
• Revealing Topology in Metals using Experimental Protocols Inspired by $K$-Theory
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Probing Fermi sea topology by Andreev state transport
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Divergent nonlinear response from quasiparticle interactions
• Quantized Nonlinear Transport with Ultracold Atoms
• Quantized Topological Response in Trapped Quantum Gases
• Drude weights in one-dimensional systems with a single defect
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems