Nonlinear longitudinal current of band-geometric origin in wires of finite thickness

Abstract

The miniaturization of integrated circuits is facing an obstruction due to the escalating electrical resistivity of conventional copper interconnects. The underlying reason for this problem was unveiled by Fuchs and Sondheimer, who showed that thinner wires are more resistive because current-carrying electrons encounter the rough surfaces of the wire more frequently therein. Here, we present a generalization of the Fuchs-Sondheimer theory to Dirac and Weyl materials, which are candidates for next-generation interconnects. We predict a nonlinear longitudinal electric current originating from the combined action of the Berry curvature and non-specular surface-scattering.

Published version

References in corpus (9)

• Berry phase effect in anomalous thermoelectric transport
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Topology and geometry under the nonlinear electromagnetic spotlight
• Magnetoresistance due to edge spin accumulation
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Unconventional Resistivity Scaling in Topological Semimetal CoSi
• On the separation of Hall and Ohmic nonlinear responses
• Odd non-linear conductivity under spatial inversion in chiral Tellurium
• Size-Dependent Grain Boundary Scattering in Topological Semimetals