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The nonlinear Hall effect, which is the second-order harmonic charge Hall effect from the Berry curvature dipole in momentum space, has received much attention recently. As the responses to higher harmonics of the driving ac electric field…

Materials Science · Physics 2021-10-14 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

The Berry curvature dipole induced by symmetry breaking play a pivotal role in electronic transport properties and nonlinear responses, such as the nonlinear Hall effect and circular photogalvanic effect. The study of the Berry curvature…

Materials Science · Physics 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

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

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

Irradiation of the strong light on the material leads to numerous non-linear effects that are essential to understand the physics of excited states of the system and for optoelectronics. Here, we study the non-linear thermoelectric effect…

Mesoscale and Nanoscale Physics · Physics 2021-03-05 Pankaj Bhalla

We establish the general phonon dynamics of magnetic solids by incorporating the Mead-Truhlar correction in the Born-Oppenheimer approximation. The effective magnetic-field acting on the phonons naturally emerges, giving rise to the phonon…

Materials Science · Physics 2012-09-14 Tao Qin , Jianhui Zhou , Junren Shi

Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

We propose to realize the quantum nonlinear Hall effect and the inverse Faraday effect through the acoustic wave in a time-reversal invariant but inversion broken Dirac insulator. We focus on the acoustic frequency much lower than the Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ying Su , Alexander V. Balatsky , Shi-Zeng Lin

Chiral phonons have attracted increasing attention, as they play important roles in many different systems and processes. However, a method to control phonon chirality by external fields is still lacking. Here, we propose that in…

Materials Science · Physics 2024-05-21 Hao Chen , Weikang Wu , Kangtai Sun , Shengyuan A. Yang , Lifa Zhang

In a growing list of insulators, experiments find that magnetic field induces a misalignment between the heat flux and the thermal gradient vectors. This phenomenon, known as the phonon thermal Hall effect, implies energy flow without…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Kamran Behnia

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

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

With spin-layer locking, the manipulation of spin degree of freedom via perpendicular electric field can be realized in a typical antiferromagnetically coupled bilayer. In analogy to the electric control of the anomalous layer Hall effect…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Yu-Hao Shen , Yiqun Liu , Min Luo

In a series of recent papers anomalous Hall and Nernst effects have been theoretically discussed in the non-linear regime and have seen some early success in experiments. In this paper, by utilizing the role of Berry curvature dipole, we…

Mesoscale and Nanoscale Physics · Physics 2020-10-26 Chuanchang Zeng , Snehasish Nandy , Sumanta Tewari

The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Alexander Fagerlund , Christopher Ekman , Rodrigo Arouca

We study the quantum nonlinear planar Hall effect in bilayer graphene under a steady in-plane magnetic field. When time-reversal symmetry is broken by the magnetic field, a charge current occurs in the second-order response to an external…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Narjes Kheirabadi , Abdollah Langari

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

The thermal Hall effect has been observed in a wide variety of magnetic insulators, yet its origins remains controversial. While some studies attribute the effect to intrinsic mechanism, such as heat carriers with Berry curvature, others…

Strongly Correlated Electrons · Physics 2026-05-12 Avi Shragai , Ezekiel Horsley , Subin Kim , Young-June Kim , B. J. Ramshaw