Hall conductivity as bulk signature of topological transitions in superconductors
1 CFIF, Instituto Superior Técnico, Universidade de Lisboa - Av. Rovisco Pais, P-1049-001 Lisboa, Portugal
2 Departamento de Física, Universidade de Évora - P-7000-671 Évora, Portugal
Received: 8 July 2013
Accepted: 4 February 2014
Topological superconductors (TSCs) may undergo transitions between phases with different topological numbers which are related to the presence of gapless (Majorana) edge states. In a TSC the charge Hall conductivity, , is not quantized and evolves continuously between different topological phases. Here we show that in two-dimensional -TSC the derivatives of display sharp features signaling the topological transitions. We consider in detail the case of a triplet superconductor with p-wave symmetry in the presence of Rashba spin-orbit coupling and externally applied Zeeman spin splitting. We generalize to the cases where the normal system is already topologically non-trivial.
PACS: 71.70.Ej – Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect / 73.43.-f – Quantum Hall effects / 74.25.fc – Electric and thermal conductivity
© EPLA, 2014