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In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic…

Strongly Correlated Electrons · Physics 2024-06-19 Xiao-Tian Zhang , Yong Hao Gao , Gang Chen

At low temperatures, the thermal conductivity of spin excitations in a magnetic insulator can exceed that of phonons. However, because they are charge neutral, the spin waves are not expected to display a thermal Hall effect in a magnetic…

Strongly Correlated Electrons · Physics 2015-09-09 Max Hirschberger , Robin Chisnell , Young S. Lee , N. P. Ong

The quantum phase effects for induced electric and magnetic dipole moments are investigated. It is shown that the phase shift received by induced electric dipole has the same form with the one induced by magnetic dipole moment, therefore…

Quantum Physics · Physics 2016-08-30 Kai Ma

We show that it is possible to topologically induce or quench the Kondo resonance in the conductance of a single-molecule magnet (S>1/2) strongly coupled to metallic leads. This can be achieved by applying a magnetic field perpendicular to…

Strongly Correlated Electrons · Physics 2009-11-11 Michael N. Leuenberger , Eduardo R. Mucciolo

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

Statistical Mechanics · Physics 2012-05-11 V. Gritsev , A. Polkovnikov

We theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

A very interesting quantum mechanical effect is the emergence of gravity-induced interference, which has already been detected. This effect also shows us that gravity is at the quantum level not a purely geometric effect, the mass of the…

Quantum Physics · Physics 2009-10-31 A. Camacho

Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes…

Materials Science · Physics 2026-03-25 Dhruv C. Desai , Lauren A. Tan , Jin-Jian Zhou , Shiyu Peng , Jinsoo Park , Marco Bernardi

Motivated by the nonlinear Hall effect observed in topological semimetals, we studied the photocurrent by the quantum kinetic equation. We recovered the shift current and injection current discovered by Sipe et al., and the nonlinear Hall…

Materials Science · Physics 2020-01-23 Zhi Li , Takami Tohyama , Toshiaki Iitaka , Haibin Su , Haibo Zeng

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

Materials Science · Physics 2024-09-17 Hui Li , Chengping Zhang , Chengjie Zhou , Chen Ma , Xiao Lei , Zijing Jin , Hongtao He , Baikui Li , Kam Tuen Law , Jiannong Wang

We derive the field correction to the Berry curvature of Bloch electrons, which can be traced back to a positional shift due to the interband mixing induced by external electromagnetic fields. The resulting semiclassical dynamics is…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yang Gao , Shengyuan A. Yang , Qian Niu

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

The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Kamal Das , Shibalik Lahiri , Rhonald Burgos Atencia , Dimitrie Culcer , Amit Agarwal

The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds…

Materials Science · Physics 2024-11-07 Yufei Zhao , Yiyang Jiang , Hyeonhu Bae , Kamal Das , Yongkang Li , Chao-Xing Liu , Binghai Yan

Finding signatures of dark matter in transport characteristics of solids would be an important step on the road to detect this illusive component of the mass of our Universe. This is especially important and timely as the experiments…

High Energy Physics - Theory · Physics 2023-03-01 Marek Rogatko , Karol I. Wysokinski

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

Chiral orbital current (COC) plays a crucial role in governing the magnetization and transport behaviour in the layered ferrimagnetic nodal-line semiconductor Mn3Si2Te6. Here, we observe that the topological Hall effect (THE), typically…

Other Condensed Matter · Physics 2026-02-03 Arnab Das , Soumik Mukhopadhyay

We present a general quantum kinetic theory of low-field magnetotransport in weakly disordered crystals that accounts fully for the interplay between electric-field induced interband coherence, Bloch-state scattering, and an external…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Akihiko Sekine , Dimitrie Culcer , Allan H. MacDonald

The weak field magnetoresistance has seen a revived interest due to the distinct role played by the momentum-space Berry curvature of Bloch electrons. While most previous studies in this regard focus on the inter-scattering motion of…

Materials Science · Physics 2020-03-11 Cong Xiao , Hua Chen , Yang Gao , Di Xiao , Allan H. MacDonald , Qian Niu