Anomalous electromagnetic response of superconducting Rashba systems in trivial and topological phases

Abstract

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss electromagnetic response properties of these systems. Breaking of time-reversal symmetry leads to an anomalous Hall effect with a characteristic non-monotonic gate voltage dependence and a Hall conductivity that can change a sign as temperature is varied. The imaginary part of the Hall conductivity at finite frequency, which shows up for example in the Kerr rotation or photoabsorption, can distinguish different topological phases. In addition, we demonstrate the existence magnetoelectric effects associated with the Hall effect; in-plane electric fields induce a parallel magnetization and in-plane time-dependent magnetic fields induce parallel electric current.

6 pages, 6 Figs

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Cited by in corpus (12)

• Entanglement modes and topological phase transitions in superconductors
• Hall conductivity as bulk signature of topological transitions in superconductors
• Anomalous Hall effect in Weyl superconductors
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Correcting inconsistencies in the conventional superfluid path integral scheme
• Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases
• Gauge invariant theories of linear response for strongly correlated superconductors
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Topological effects on transition temperatures and response functions in three-dimensional Fermi superfluids
• Superconductivity in a Chern band: effect of time-reversal-symmetry breaking on superconductivity