Notes on Constraints for the Observation of Polar Kerr Effect in Complex Materials

Abstract

While Kerr effect has been used extensively for the study of magnetic materials, it is only recently that its has shown to be a powerful tool for the study of more complex quantum matter. Since such materials tend to exhibit a wealth of new phases and broken symmetries, it is important to understand the general constraints on the possibility of observing a finite Kerr effect. In this paper we reviewed the consequences of reciprocity on the scattering of electromagnetic waves. In particular we concentrate on the possible detection of Kerr effect from chiral media with and without time-reversal symmetry breaking. We show that a finite Kerr effect is possible only if reciprocity is broken. Introducing the utilization of the Sagnac interferometer as a detector for breakdown of reciprocity via the detection of a finite Kerr effect, we argue that in the linear regime, a finite detection is possible only if reciprocity is broken. We then discuss possible Kerr effect detection for materials with natural optical activity, magnetism, and chiral superconductivity.

Article accepted for publication in a special issue of the journal Physica B, Proceedings of the ECRYS-2014 Workshop

References in corpus (13)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Collective modes and electromagnetic response of a chiral superconductor
• Modified Sagnac interferometer for high-sensitivity magneto-optic measurements atcryogenic temperatures
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Kerr effect as evidence of gyrotropic order in the cuprates
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Kerr effect as evidence of gyrotropic order in the cuprates - revisited
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• Relationship of Time Reversal Symmetry Breaking with Optical Kerr Rotation

Cited by in corpus (6)

• High Resolution Polar Kerr Effect Studies of CsV${}_3$Sb${}_5$: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Modified Martin-Puplett interferometer for magneto-optical Kerr effect measurements at sub-THz frequencies
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Spin-glass state in nickelate superconductors
• Magneto-Optical Analysis of Magnetic Anisotropy in Ultrathin Tm${}_3$Fe${}_5$O${}_{12}$/Pt Bilayers