Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates

Abstract

Optical gyrotropy, the lifting of degeneracy between left and right circularly polarized light, can be generated by either time-reversal or chiral symmetry breaking. In the high-$T_c$ superconductor La${}_{2-x}$Ba${}_x$CuO${}_4$ (LBCO), gyrotropy onsets at the same temperature as charge stripe order, suggesting that the rotation of the stripe direction from one plane to the next generates a helical pattern that breaks chiral symmetry. In order to further test this chiral stacking hypothesis it is necessary to develop an understanding of the physical mechanism by which chirality generates gyrotropy. In this paper we show that optical gyrotropy is a consequence of Berry curvature in the momentum space of chiral metals. We describe a physical picture showing that gyrotropy in chiral metals is closely related to the anomalous Hall effect in itinerant ferromagnets. We then calculate the magnitude of the gyrotropic response for a given Berry curvature using the semiclassical picture of anomalous velocity and Boltzmann transport theory. To connect this physical picture with experiment, we calculate the Berry curvature in two tight-binding models. The first model is motivated by the structure of LBCO and illustrates how the gyrotropy is created when the stripe perturbations are added to a simple cubic model. In the second model, we examine the dramatic enhancement of the gyrotropic coefficient when Rashba spin-orbit coupling is introduced. The magnitude of the rotation of polarization on reflection expected based these models is calculated and compared with experimental data.

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• Semi-classical wave packet dynamics in non-uniform electric fields
• Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime
• Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
• Optical gyrotropy from axion electrodynamics in momentum space
• Anatomy of chiral magnetic effect in and out of equilibrium
• Evidence of Chiral Order in the Charge-Ordered Phase of Superconducting La1.875Ba0.125Cuo4 Single Crystals Using Polar Kerr-Effect Measurements
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• Proposed Chiral Texture of the Magnetic Moments of Unit-Cell Loop Currents in the Pseudogap Phase of Cuprate Superconductors
• Tilted loop currents in cuprate superconductors
• Magneto-Chiral Kerr effect with application to the cuprates
• Magneto-optic and transverse transport properties of non-collinear antiferromagnets
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Polar Kerr effect from chiral-nematic charge order
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Orbital Edelstein effect from density-wave order
• Optical rotation in thin chiral/twisted materials and the gyrotropic magnetic effect
• Magnetostatics and optics of noncentrosymmetric metals
• Hall and Seebeck coefficients from bi-directional charge density wave state in high-$T_c$ cuprates
• Understanding chiral charge-density wave by frozen chiral phonon
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• Berry Phase in Cuprate Superconductors
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• Spin canting and lattice symmetry in La${}_2$CuO${}_4$
• Optically-induced Umklapp shift currents in striped cuprates
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy