The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$

Abstract

We will extend the concept of electron band Berry curvatures to superconducting materials. We show that this can be defined for the Bogoliubov-de Gennes equation describing the superconducting state in a periodic crystal. In addition, the concept is exploited to understand the driving mechanism for the optical Kerr effect in time reversal symmetry breaking superconductors. Finally, we establish a sum rule analogue to the normal state Hall sum rule making quantitative contact between the imaginary part of the optical conductivity and the Berry curvature. The general theory will be applied and tested against the drosophila of the p-wave paired materials Sr${}_2$RuO${}_4$.

References in corpus (7)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Dichroic f-sum rule and the orbital magnetization of crystals
• Collective modes and electromagnetic response of a chiral superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Theory of the high-frequency chiral optical response in a p_x+ip_y superconductor
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$

Cited by in corpus (3)

• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors