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The quantum geometric structure of electrons introduces fundamental insights into understanding quantum effects in materials. One notable manifestation is the non-linear Hall effect (NLHE), which has drawn considerable interest for its…

Materials Science · Physics 2025-02-26 Hung-Ju Tien , Hsin Lin , Liang Fu , Tay-Rong Chang

In this paper, to study the effects of a nonlinear medium on the atom-field interaction, we use the nonlinear coherent states approach. For this purpose, we choose the two-mode cross-Kerr as the our nonlinear optical phenomena and with the…

Quantum Physics · Physics 2022-05-04 Mojgan Momeni Demneh , Ali Mahdifar , Rasoul Roknizadeh

We study the second-order optical response of Weyl semimetals in the presence of a magnetic field. We consider an idealized model of a perfectly linear Weyl node and use the Kubo formula at zero temperature to calculate the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Grigory Bednik , Vladyslav Kozii

Light-induced coherent phonons provide a powerful platform for ultrafast control of material properties. However, the microscopic theory and quantum geometric nature of this phenomenon remain underexplored. Here, we develop a fully…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Jiaming Hu , Zhichao Guo , Wenbin Li , Hua Wang , Kai Chang

The anomalous Hall effect and magneto-optical Kerr effect have traditionally been associated with ferromagnets, but recent studies reveal their presence in noncollinear antiferromagnets due to nonzero Berry curvature despite negligible net…

Strongly Correlated Electrons · Physics 2025-10-23 Camron Farhang , Weihang Lu , Yuchuan Yao , Pratap Pal , Shaofeng Han , Jian-Guo Zheng , Hua Chen , Chang-Beom Eom , Jing Xia

We study optical effects in quintessential Kerr black hole spacetimes corresponding to the limiting case of the equation-of-state parameter $\omega_{q}=-1/3$ of the quintessence. In dependence on the dimensionless quintessential field…

High Energy Astrophysical Phenomena · Physics 2016-12-21 Jan Schee , Zdenek Stuchlik

Nonlinearity induced topological properties in nonlinear lattice systems are studied in both momentum space and real space. Experimentally realizable through the Kerr effect on photonic waveguide systems, our working model depicts on-site…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Thomas Tuloup , Raditya Weda Bomantara , Ching Hua Lee , Jiangbin Gong

We report magnetotransport study on type-II Weyl semimetal WP$_2$ single crystals. Magnetoresistance (MR) exhibits a nonsaturating $H^{n}$ field dependence (14,300\% at 2 K and 9 T) whereas systematic violation of Kohler's rule was…

Materials Science · Physics 2017-09-20 Aifeng Wang , D. Graf , Yu Liu , Qianheng Du , Jiabao Zheng , Hechang Lei , C. Petrovic

The non-centrosymmetric topological material has attracted intense attention due to its superior characters as compared to the centrosymmetric one. On one side, the topological phase coming from global geometric properties of the quantum…

We calculate theoretically the transverse magneto-optical Kerr effect (TMOKE) in the periodically patterned waveguide made from a diluted magnetic semiconductor. It is demonstrated that the TMOKE is resonantly enhanced when the incident…

Other Condensed Matter · Physics 2020-05-04 Vladimir A. Zakharov , Alexander N. Poddubny

The physics underlying the magnetization process of quantum antiferromagnets is revisited from the viewpoint of geometric phases. A continuum variant of the Lieb-Schultz-Mattis-type approach to the problem is put forth, where the…

Statistical Mechanics · Physics 2009-05-14 Akihiro Tanaka , Keisuke Totsuka , Xiao Hu

We consider some general aspects of the new noncommutative or quantum geometry coming out of the theory of quantum groups, in connection with Planck scale physics. A generalisation of Fourier or wave-particle duality on curved spaces…

q-alg · Mathematics 2008-02-03 S. Majid

The phenomenon of quantum nucleation is studied in a ferromagnet in the presence of a magnetic field at an arbitrary angle. We consider the magnetocrystalline anisotropy with tetragonal symmetry and that with hexagonal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yi Zhou , Rong Lu , Jia-Lin Zhu , Lee Chang

It is conjectured that the spatial structure of quantum field states is influenced by a new kind of directional indeterminacy of quantum geometry set by the Planck length, $l_P$, that does not occur in a classical background geometry.…

General Relativity and Quantum Cosmology · Physics 2014-12-05 Craig J. Hogan

We employ a quantum theory of the nonlinear optical response from an actual solid-state material possessing an intrinsic bulk contribution to the third-order nonlinear susceptibility (Kerr-type nonlinearity), which can be arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Sara Ferretti , Dario Gerace

Chirality, a widely existing material property in nature involving the breaking of the left-right symmetry, has profound influences in various fields of natural sciences. Nonlinear response, such as electronic magnetochiral anisotropy…

Motivated by recent experiments on low-dimensional quantum magnets in applied magnetic fields, we present a theoretical analysis of their properties based on the nonlinear sigma model. The spin stiffness and a 1/N expansion are used to map…

Strongly Correlated Electrons · Physics 2007-05-23 Daniel Loss , B. Normand

We investigate aspects of the relation between the quantum geometry of the normal state (NS) and the superconducting phase, through the lens of non-locality. By relating band theory to quantum estimation theory, we derive a direct…

Superconductivity · Physics 2025-09-11 Florian Simon

Unconventional magnets with momentum-dependent spin-splitting but zero net magnetization form a recently identified class of collinear magnets that are challenging to probe via conventional means. We show that these systems can be…

Mesoscale and Nanoscale Physics · Physics 2025-11-03 Neelanjan Chakraborti , Sudeep Kumar Ghosh , Snehasish Nandy

We investigate the behaviors of thermal entanglement, quantum correlation beyond entanglement namely, measurement-induced nonlocality (MIN) and coherence in a nickel radical molecular magnet (Et3NH)[Ni(hfac)2L], whose spin-spin interactions…

Quantum Physics · Physics 2026-02-24 S. Bhuvaneswari , R. Muthuganesan , R. Radha