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Pyrochlore iridates have attracted significant interest due to their complex phase behavior arising from the interplay among electron correlations, quantum metric in flat bands, geometrically frustrated lattices, and topology induced by…

Materials Science · Physics 2025-05-07 Xingyue Han , Xiaoran Liu , Mikhail Kareev , Jak Chakhalian , Liang Wu

The influence of second-order magneto-optic effects on Kerr effect magnetometry of epitaxial exchange coupled FeMn/NiFe-bilayers is investigated. A procedure for separation of the first- and second-order contributions is presented. The full…

Condensed Matter · Physics 2009-11-10 T. Mewes , H. Nembach , M. Rickart , B. Hillebrands

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal

We investigate the optical activity of tilted nodal loop semimetals. We calculate the full conductivity matrix for a band structure containing a nodal loop with possible tilt in the $x-y$ plane, which allows us to study the Kerr rotation…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Johan Ekström , Eddwi H. Hasdeo , M. Belén Farias , Thomas L. Schmidt

Four years ago the Extended Scale Relativity (ESR) theory in C-spaces (Clifford manifolds) was proposed as the plausible physical foundations of string theory. In such theory the speed of light and the minimum Planck scale are the two…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa

The combination of quantum geometry and magnetic geometry in magnets excites diverse phenomena, some critical for antiferromagnetic spintronics. However, very few material platforms have been predicted and experimentally verified to date,…

Materials Science · Physics 2025-05-28 Haiyuan Zhu , Jiayu Li , Xiaobing Chen , Yutong Yu , Qihang Liu

The exploration of the Riemannian structure of the Hilbert space has led to the concept of quantum geometry, comprising geometric quantities exemplified by Berry curvature and quantum metric. While this framework has profoundly advanced the…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Xiao-Bin Qiang , Tianyu Liu , Hai-Zhou Lu , X. C. Xie

Quantum geometry is a differential geometry based on quantum mechanics. It is related to various transport and optical properties in condensed matter physics. The Zeeman quantum geometry is a generalization of quantum geometry including the…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Motohiko Ezawa

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

Co$_2$FeSi(100) films with L2$_1$ structure deposited onto MgO(100) were studied exploiting both longitudinal (LMOKE) and quadratic (QMOKE) magneto-optical Kerr effect. The films exhibit a huge QMOKE signal with a maximum contribution of up…

Materials Science · Physics 2015-06-25 J. Hamrle , S. Blomeier , O. Gaier , B. Hillebrands , H. Schneider , G. Jakob , K. Postava , C. Felser

A generalized Noether's theorem and the operational determination of a physical geometry in quantum physics are used to motivate a quantum geometry consisting of relations between quantum states that are defined by a universal group. Making…

Quantum Physics · Physics 2007-05-23 Jeeva Anandan

We theoretically report that, with \textit{in-plane} magnetization, the quantum anomalous Hall effect (QAHE) can be realized in two-dimensional atomic crystal layers with preserved inversion symmetry but broken out-of-plane mirror…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Yafei Ren , Junjie Zeng , Xinzhou Deng , Fei Yang , Hui Pan , Zhenhua Qiao

The conjectured magnetized Kerr/CFT correspondence states that the quantum theory of gravity in the near horizon of extreme Kerr black holes immersed by the magnetic field, Near Horizon Extreme Magnetized Kerr black holes, is holographic…

High Energy Physics - Theory · Physics 2016-12-05 Muhammad F A R Sakti , Philin Y D Sagita , A Suroso , Freddy P Zen

We report on time- and angle-resolved transverse magneto-optical Kerr effect spectroscopy in the soft x-ray range that, by analysis via polarization-dependent magnetic scattering simulations, allows us to determine the spatio-temporal and…

The nonlinear magneto-optical Kerr-effect (NOLIMOKE) is determined for freestanding Fe monolayers with several in-plane structures from first principles. Based on the theory of nonlinear magneto-optics by H\"ubner and Bennemann [Phys. Rev.…

Materials Science · Physics 2009-10-31 J. P. Dewitz , W. Hübner

Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

We demonstrated a large enhancement of Kerr electro-optic nonlinearity through cascaded Pockels effects in a domain inversion ferroelectric crystal. We designed a structure that can implement the cascaded Pockels effects and second-harmonic…

Optics · Physics 2017-04-20 Guang-Zhen Li , Yu-Ping Chen , Hao-Wei Jiang , Xian-Feng Chen

We propose ferromagnetism that occurs in electrons at a saddle point with band touching, which we call the singular saddle point. At the singular saddle point, the divergent quantum metric induces ferromagnetic correlation, and the…

Strongly Correlated Electrons · Physics 2026-05-14 Taisei Kitamura , Hiroki Nakai , Akito Daido , Youichi Yanase

The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard structure on the Euclidean phase space. In this paper we describe the corresponding algebra of…

Quantum Physics · Physics 2009-11-10 M. V. Karasev , T. A. Osborn