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We study quantum aspects of the Einstein gravity with one time-like and one space-like Killing vector commuting with each other. The theory is formulated as a $\coset$ nonlinear $\sigma$-model coupled to gravity. The quantum analysis of the…

High Energy Physics - Theory · Physics 2009-10-28 Y. Satoh

Magneto-optic Kerr effect (MOKE) is a powerful probe of broken time-reversal symmetry ($\mathcal{T}$), typically used to study ferromagnets. While MOKE has been observed in some antiferromagnets (AFMs) with vanishing magnetization, it is…

Materials Science · Physics 2026-01-08 V. Sunko , S. Ahsanullah , V. Jain , S. Weber , S. Kumaran , J. -Q. Yan , J. Orenstein , D. Ovchinnikov

Altermagnets have attracted tremendous interest for revealing intriguing physics and promising spintronics applications. In contrast to conventional antiferromagnets, altermagnets break both PT and Tt symmetries, and simultaneously exhibit…

The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Young-Gwan Choi , Manh-Ha Doan , Youngkuk Kim , Gyung-Min Choi

Materials with no net magnetization are generally not magneto-optically active. While this is individually true for a collinear antiferromagnet (AFM) and a topological insulator (TI), it is shown here that the magneto-optic Kerr effect…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Amrit De , Tonmoy K. Bhowmick , Roger Lake

The magneto-optical Kerr effect (MOKE) is investigated in hematite, a collinear antiferromagnetic insulator, across a broad wavelength spectrum. By combining the optical measurements with magnetometry results, we unambiguously demonstrate…

Other Condensed Matter · Physics 2025-12-24 Haolin Pan , Rui-Chun Xiao , Jiahao Han , Hongxing Zhu , Junxue Li , Qian Niu , Yang Gao , Dazhi Hou

*The abstract of this article is too long to be included in the arXiv metadata; please see the paper for the full abstract.* ...In this paper, we introduce the detailed theory of cubic-in-magnetization magneto-optic Kerr effect (CMOKE) by…

Optics · Physics 2026-03-05 Robin Silber , Maik Gaerner , Kamil Postava , Jaroslav Hamrle , Timo Kuschel

The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

Mesoscale and Nanoscale Physics · Physics 2025-05-02 Xu Yang , Brian Skinner

Recent studies have shown that the nonlinear optical response of crystalline systems is fundamentally a quantum geometric property. In this work, we propose two-dimensional coherent spectroscopy (2DCS), which measures the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Paul Froese , Mark R. Hirsbrunner , Yong Baek Kim

Topological properties in quantum materials are often governed by symmetry and tuned by crystal structure and external fields, and hence symmetry-sensitive nonlinear optical measurements in a magnetic field are a valuable probe. Here we…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Shuang Wu , Zaiyao Fei , Zeyuan Sun , Yangfan Yi , Wei Xia , Dayu Yan , Yanfeng Guo , Youguo Shi , Jiaqiang Yan , David H. Cobden , Wei-Tao Liu , Xiaodong Xu , Shiwei Wu

We propose a mechanism for the inverse Faraday and the inverse Cotton--Mouton effects arising from quantum geometry, characterized by the quantum metric quadrupole and the weighted quantum metric. Within a semiclassical framework based on…

Materials Science · Physics 2026-01-15 Hiroki Yoshida , Takehito Yokoyama

The nonlinear Hall effect (NLHE) can induce optical anisotropy by modifying a material's dielectric tensor, presenting opportunities for novel characterization and device applications. While the magneto-optical Kerr effect (MOKE) probes the…

Other Condensed Matter · Physics 2025-07-16 He-Lin Li , Zhen-Gang Zhu , Gang Su

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

We study for the first time the effect of the geometry of quantum wire networks on their nonlinear optical properties and show that for some geometries, the first hyperpolarizability is largely enhanced and the second hyperpolarizability is…

Optics · Physics 2015-06-11 Shoresh Shafei , Rick Lytel , Mark G. Kuzyk

One striking property of the Landau level spectrum of a Weyl semimetal (WSM) is the existence of a chiral Landau level, in which the electrons propagate unidirectionally along the magnetic field. This linearly dispersive level influences…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Jean-Michel Parent , René Côté , Ion Garate

We propose a scheme to entangle two magnon modes via Kerr nonlinear effect when driving the systems far-from-equilibrium. We consider two macroscopic yttrium iron garnets (YIGs) interacting with a single-mode microcavity through the…

Quantum Physics · Physics 2019-09-25 Zhedong Zhang , Marlan O. Scully , Girish S. Agarwal

Recent gravitational wave observations and shadow imaging have demonstrated the astonishing consistency of the Kerr paradigm despite all the special symmetries assumed in deriving the Kerr metric. Hence, it is crucial to test the presence…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Rajes Ghosh , Kabir Chakravarti

Second harmonic generation magneto-optic Kerr effect (SHMOKE) experiments, sensitive to buried interfaces, were performed on a polycrystalline NiFe/FeMn bilayer in which areas with different exchange bias fields were prepared using 5 KeV He…

Materials Science · Physics 2018-07-26 L. Sampaio , A. Mougin , J. Ferre , P. Georges , A. Brun , H. Bernas , S. Poppe , T. Mewes , J. Fassbender , B. Hillebrands

The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Xu Chen , Mingbo Dou , Qin Zhang , Xianjie Wang , M. Ye. Zhuravlev , A. V. Nikolaev , L. L. Tao

The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Daniel Kaplan , Tobias Holder , Binghai Yan