Theory of the supercyclotron resonance and Hall response in anomalous 2d metals

TL;DR

This paper develops a hydrodynamic theory to explain the suppressed Hall response and cyclotron resonance in anomalous 2D metals derived from disordered superconducting films, emphasizing vortex flux flow dynamics.

Contribution

It introduces a systematic hydrodynamic framework linking vortex flux flow to anomalous metal transport properties, incorporating vortex pinning effects.

Findings

Flux flow dynamics explain suppressed Hall resistivity.

Hydrodynamic coefficients relate to microscopic vortex properties.

The theory accounts for experimental observations in disordered InO$_x$ films.

Abstract

Weakly disordered superconducting films can be driven into an anomalous low temperature resistive state upon applying a magnetic field. Recent experiments on weakly disordered amorphous InO$_x$ have established that both the Hall resistivity and the frequency of a cyclotron-like resonance in the anomalous metal are highly suppressed relative to the values expected for a conventional metal. We show that both of these observations can be understood from the flux flow dynamics of vortices in a superconductor with significant vortex pinning. Results for flux flow transport are obtained using a systematic hydrodynamic expansion, controlled by the diluteness of mobile vortices at low temperatures. Hydrodynamic transport coefficients are related to microscopics through Kubo formulae for the longitudinal and Hall vortex conductivities, as well as a `vorto-electric' conductivity.