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Recent analysis has confirmed earlier general arguments that the Kerr response vanishes in any time-reversal invariant system which satisfies the Onsager relations. Thus, the widely cited relation between natural optical activity…

Superconductivity · Physics 2015-02-03 Pavan Hosur , A. Kapitulnik , S. A. Kivelson , J. Orenstein , S. Raghu , W. Cho , A. Fried

The Kerr effect can arise in a time-reversal invariant dissipative medium that is "gyrotropic", i.e. one that breaks inversion ($\mathcal I$) and all mirror symmetries. Examples of such systems include electron analogs of cholesteric liquid…

Strongly Correlated Electrons · Physics 2013-03-27 Pavan Hosur , A. Kapitulnik , S. A. Kivelson , J. Orenstein , S. Raghu

We prove an instance of the Reciprocity Theorem that demonstrates that Kerr rotation, also known as the magneto-optical Kerr effect, may only arise in materials that break microscopic time reversal symmetry. This argument applies in the…

Optics · Physics 2014-10-08 Alexander D. Fried

The optical effects due to the loop-current order parameter in under-doped cuprates are studied in order to understand the recent observation of unusual birefringence in electromagnetic propagation in under-doped cuprates. It is shown why…

Strongly Correlated Electrons · Physics 2015-06-17 C. M. Varma

It has been suggested that materials which break spatial inversion symmetry, but not time reversal symmetry, will be optically gyrotropic and display a nonlocal Hall effect. The associated optical rotary power and the suggested possibility…

Strongly Correlated Electrons · Physics 2015-02-25 Martin Gradhand , Jasper van Wezel

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…

Strongly Correlated Electrons · Physics 2015-06-12 Vivek Aji , Yan He , Chandra Varma

Corrections to the exact heavy--quark symmetry results are expected to follow the $1/m_{Q}$ mass effect of the heavy--quark. We show, by an explicit calculation, that there is something other than the mass effect that suppresses the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Patrick J. O'Donnell , Q. P. Xu , Humphrey K. K. Tung

The loop-current state discovered in the pseudogap phase of cuprates breaks time reversal symmetry and lowers the point group symmetry of the crystal. The order parameter and the magnetic structure within each unit cell which is associated…

Superconductivity · Physics 2011-02-01 A. Shekhter , C. M. Varma

We analyze the polar Kerr effect in an itinerant electron system on a square lattice in the presence of a composite charge order proposed for the pseudogap state in underdoped cuprates. This composite charge order preserves discrete…

Strongly Correlated Electrons · Physics 2014-11-25 Yuxuan Wang , Andrey V. Chubukov , Rahul Nandkishore

We propose a novel chiral order parameter to explain the unusual polar Kerr effect in underdoped cuprates. It is based on the loop-current model by Varma, which is characterized by the in-plane anapole moment N and exhibits the…

Superconductivity · Physics 2013-07-26 Sergey S. Pershoguba , Kostyantyn Kechedzhi , Victor M. Yakovenko

In this comment we explain the discrepancies mentioned by the authors between their results and ours about the influence of the gravitational quadrupole moment in the perturbative calculation of corrections to the precession of the…

General Relativity and Quantum Cosmology · Physics 2011-02-02 L. Fernández-Jambrina

A mechanism is proposed for the tantalizing evidence of polar Kerr effect in a class of high temperature superconductors--the signs of the Kerr angle from two opposite faces of the same sample are identical and magnetic field training is…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Sumanta Tewari , Pallab Goswami , V. M. Yakovenko , Sudip Chakravarty

We study bond-order parameters for generalized $t$-$J$ models on a square lattice. Using the plane-wave limit the considered order parameters form basis functions for irreducible representations of the symmetry transformations of the point…

Superconductivity · Physics 2015-03-10 Roland Zeyher

To leading order in displacement size, the scattering of electrons in a Cu-O plane from O displacements perpendicular to that plane is due to spin-orbit coupling. This scattering is investigated with the following results: (1) As a…

Condensed Matter · Physics 2020-02-03 N. E. Bonesteel

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. By comparison with the exterior Hartle-Thorne metric, it is showed that it could be matched to an interior solution. This metric may…

General Relativity and Quantum Cosmology · Physics 2014-01-09 Francisco Frutos-Alfaro

We correct our claim made in Phys. Rev. Lett. 111, 047005 (2013) that the chiral texture of loop currents can explain the experimentally observed polar Kerr effect in cuprates. Although our model does contain a bulk gyrotropic term and…

Strongly Correlated Electrons · Physics 2014-10-01 Sergey S. Pershoguba , Kostyantyn Kechedzhi , Victor M. Yakovenko

A comprehensive study of anisotropic quantum rings, QRs, subject to axial and in-plane magnetic field, both aligned and transverse to the anisotropy direction, is carried out. Elliptical QRs for a wide range of eccentricity values and also…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Planelles , F. Rajadell , J. I. Climente

We discuss the necessary symmetry conditions and the different ways in which they can be physically realized for the occurrence of ferromagnetism accompanying the loop current orbital magnetic order observed by polarized neutron-diffraction…

Strongly Correlated Electrons · Physics 2009-11-13 Vivek Aji , Arkady Shekhter , C. M. Varma

Recent experiments have shown rotation of the plane of polarization of light reflected from the surface of some superconductors. This indicates that time reversal and certain mirror symmetries are broken in the ordered phase. The photon…

Superconductivity · Physics 2017-05-16 Robert Joynt , Wen-Chin Wu

Recent theoretical work predicted emergence of chiral topological superconducting phase with spontaneously broken time reversal symmetry in a twisted bilayer composed of two high-$T_c$ cuprate monolayers, such as…

Superconductivity · Physics 2021-10-13 Oguzhan Can , Xiao-Xiao Zhang , Catherine Kallin , Marcel Franz
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