Theory of the high-frequency chiral optical response in a p_x+ip_y superconductor

Abstract

The optical Hall conductivity and the polar Kerr angle are calculated as functions of temperature for a two-dimensional chiral p_x+ip_y superconductor, where the time-reversal symmetry is spontaneously broken. The theoretical estimate for the polar Kerr angle agrees by the order of magnitude with the recent experimental measurement in Sr2RuO4 by Xia et al. cond-mat/0607539. The theory predicts that the Kerr angle is proportional to the square of the superconducting energy gap and is inversely proportional to the cube of frequency, which can be verified experimentally.

4 pages, no figures, RevTeX. V.2: one reference and discussion of horizontal lines of nodes added. V.3: a typo corrected, and one reference added. V.4: two references added and minor stylistic changes made, as in the published version

References in corpus (1)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State

Cited by in corpus (17)

• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Collective modes and electromagnetic response of a chiral superconductor
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Time-reversal symmetry breaking by a $(d+id)$ density-wave state in underdoped cuprate superconductors
• Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Polar Kerr effect from chiral-nematic charge order
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases
• Vortex Structures in Model p-Wave Superconducting Sr2RuO4 -- Single 2-Dimensional Band v.s. Quasi-1-Dimensional Band
• Spontaneous Quantum Hall Effect in chiral d-density waves
• Electromagnetic response of unconventional superconductors
• In-plane magnetic field phase diagram of superconducting Sr2RuO4
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$