Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 47: Superconductivity: Higgs Modes in Condensed Matter and Quantum Gases (joint session TT/ DY/ MA/ O)

DY 47.5: Talk

Thursday, March 19, 2015, 10:45–11:00, H 2053

Higgs Mechanism in Three-Dimensional Topological Superconductors and Anomalous Hall Effect in Zero Magnetic Field — •Flavio Nogueira and Ilya Eremin — Theoretische Physik III, Ruhr-Universität Bochum

We discuss the peculiar nature of Higgs mechanism in an effective field theory for three-dimensional topological superconductors. The effective theory features two order parameters associated to the two chiral fermion species in the system. The resulting electrodynamics of such a topological superconductor exhibits a topological magnetoelectric effect with an axion field given by the phase difference of the order parameters. As consequence, the London regime is highly non-linear and anomalous Hall effect in the absence of an external magnetic field occurs. In this anomalous Hall effect the generated current transverse to an applied electric field changes sign with the temperature. We also discuss the scaling behavior of the penetration depth near the transition temperature, which is also shown to exhibit a scaling exponent that is crucially influenced by the axion term, varying continuously as function of the average phase difference.