The Hall Effect in Superconducting Films

Abstract

Near the superconducting phase transition, fluctuations significantly modify the electronic transport properties. Here we study the fluctuation corrections to the Hall conductivity in disordered films, extending previous derivations to a broader range of temperatures and magnetic fields, including the vicinity of the magnetic field induced quantum critical point. In the process, we found a new contribution to the Hall conductivity that was not considered before. Recently, our theory has been used to fit measurements of the Hall resistance in amorphous TaN films.

11 pages, 6 figures

References in corpus (5)

• A length scale for the superconducting Nernst signal above T${}_c$ in Nb${}_{0.15}$Si${}_{0.85}$
• Hall Coefficient in an Interacting Electron Gas
• Hall conductivity dominated by fluctuations near the superconducting transition in disordered films
• Fluctuation conductivity in disordered superconducting films
• Effects of proximity to an electronic topological transition on normal state transport properties of the high-Tc superconductors

Cited by in corpus (16)

• Sign reversing Hall effect in atomically thin high temperature superconductors
• Electron-electron interaction correction and magnetoresistance in tilted fields in Si-based 2D systems
• Hall conductivity dominated by fluctuations near the superconducting transition in disordered films
• Observation of the ghost critical field for superconducting fluctuations in a disordered TaN thin film
• Superconducting fluctuations in a thin NbN film probed by the Hall effect
• Giant Nernst and Hall Effects in Chiral Superconductors due to Berry Phase Fluctuations
• Absence of cyclotron resonance in the anomalous metallic phase in InO${}_x$
• Photon drag of superconducting fluctuations in 2D systems
• Magnetic field reveals vanishing Hall response in the normal state of stripe-ordered cuprates
• Sign Reversal of the Hall Response in a Crystalline Superconductor
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Hall anomaly and moving vortex charge in layered superconductors
• Simple mechanism that breaks the Hall effect linearity at low temperatures
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors
• Fluctuation-induced odd-frequency spin-triplet pairing in disordered electron liquid
• Transport anomalies in multiband superconductors near quantum critical point