Magneto-Chiral Kerr effect with application to the cuprates

Abstract

Rotation of polarization of light on transmission and reflection at materials with time-reversal breaking (Faraday and Kerr effects, respectively) have been studied for over a hundred years. We add to such phenomena by studying optical properties of magneto-chiral states which are loop currents with topological Hall effect. These break time-reversal and are chiral but the product of chirality and time-reversal is preserved. Qualitatively new features arise in reflection and transmission through such a state. This state is shown to be induced in underdoped cuprates given the observed magneto-electric loop-current order in cuprates and certain other specified condition. These results explain the observation of Kerr effects with unusual properties in the underdoped cuprates and help further confirm the nature of the symmetry breaking in underdoped cuprates.

References in corpus (10)

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• Kerr effect as evidence of gyrotropic order in the cuprates
• Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates
• 2D orbital-like magnetic order in $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{S}{\mathrm{r}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$
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• Evidence for Intra-Unit-Cell magnetic order in Bi2Sr2CaCu2O8+d

Cited by in corpus (23)

• Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime
• Constraints on Jones transmission matrices from time-reversal invariance and discrete spatial symmetries
• Emergent loop current order from pair density wave superconductivity
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Evidence of Chiral Order in the Charge-Ordered Phase of Superconducting La1.875Ba0.125Cuo4 Single Crystals Using Polar Kerr-Effect Measurements
• Charge orders, magnetism and pairings in the cuprate superconductors
• Proposed Chiral Texture of the Magnetic Moments of Unit-Cell Loop Currents in the Pseudogap Phase of Cuprate Superconductors
• Effective SU(2) theory for the pseudogap state
• Tilted loop currents in cuprate superconductors
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Gyrotropic Birefringence in the Under-doped Cuprates
• Relationship of Time Reversal Symmetry Breaking with Optical Kerr Rotation
• Coexistence of ${\Theta }_{II}$-loop-current order with checkerboard d-wave CDW/PDW order in a hot-spot model for cuprate superconductors
• Magnetostatics and optics of noncentrosymmetric metals
• Incipient loop current order in the under-doped cuprate superconductors
• Flux phase as possible time-reversal symmetry breaking surface states of high-$T_C$ cuprate superconductors
• Intrinsic Anomalous Hall Effect in Magneto-Chiral States
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Phonons and elasticity in critically coordinated lattices
• Elastoconductivity as a probe of broken mirror symmetries
• Implications of second harmonic generation for hidden order in Sr${}_2$CuO${}_2$Cl${}_2$
• Evidence for Intra-Unit-Cell magnetic order in the pseudo-gap state of high-Tc cuprates
• Quantum-critical transport in marginal Fermi liquids