Gauge-invariant electromagnetic response of a chiral px+ipy superconductor

• Main Authors: Lutchyn, Roman M., Nagornykh, Pavel, Yakovenko, Victor M.
• Format: Text
• Language: unknown
• Published: arXiv 2008
• Subjects: Superconductivity cond-mat.supr-con; Mesoscale and Nanoscale Physics cond-mat.mes-hall; FOS Physical sciences; IPY
• Online Access: https://dx.doi.org/10.48550/arxiv.0801.4175; https://arxiv.org/abs/0801.4175

We present a gauge-invariant theory of the electromagnetic response of a chiral px+ipy superconductor in the clean limit. Due to the spontaneously broken time-reversal symmetry, the effective action of the system contains an anomalous term not present in conventional superconductors. As a result, the electromagnetic charge and current responses contain anomalous terms, which depend explicitly on the chirality of the superconducting order parameter. These terms lead to a number of unusual effects, such as coupling of the transverse currents to the collective plasma oscillations and a possibility of inducing the charge density by the magnetic field perpendicular to the conducting planes. We calculate the antisymmetric part of the conductivity tensor (the intrinsic Hall conductivity) and show that it depends on the wave vector of the electromagnetic field. We also show that the Mermin-Muzikar magnetization current and the Hall conductivity are strongly suppressed at high frequencies. Finally, we discuss implications of the theory to the experiments in Sr2RuO4. : 22 pages, 4 figures, final version as published in PRB