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The valley Hall effect (VHE) holds great promise for valleytronic applications by leveraging the valley degree of freedom. To date, research on VHE has focused on its linear response to an applied current, leaving nonlinear valley responses…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Pan He , Min Zhang , Jin Cao , Jingru Li , Hao Liu , Jinfeng Zhai , Ruibo Wang , Cong Xiao , Shengyuan A. Yang , Jian Shen

The valley Hall effect arises from valley contrasting Berry curvature and requires inversion symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall current in systems with both inversion and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal

We investigate the intrinsic nonlinear valley Nernst effect, which induces a transverse valley current via a second-order thermoelectric response to a longitudinal temperature gradient. The effect arises from the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Xue-Jin Zhang , Jin Cao , Lulu Xiong , Hui Wang , Shen Lai , Cong Xiao , Shengyuan A. Yang

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Recent experiments have studied the temperature and gate voltage dependence of nonlocal transport in bilayer graphene, identifying features thought to be associated with the two-dimensional semiconductor's bulk intrinsic valley Hall effect.…

Mesoscale and Nanoscale Physics · Physics 2020-10-22 Akihiko Sekine , Allan H. MacDonald

This study delves into the intrinsic nonlinear valley thermal effects, driven by the Quantum Metric of the system. Our findings elucidate that valley indices in the nonlinear effect are distinguishable by the thermoelectric correction to…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Shivam Sharma , Abir De Sarkar

Modulation of electronic states in two-dimensional (2D) materials can be achieved by using in-plane variations of the band gap or the average potential in lateral quantum structures. In the atomic configurations with hexagonal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Feng-Wu Chen , Mei-Yin Chou , Yiing-Rei Chen , Yu-Shu Wu

The nonlinear Hall effect has opened the door towards deeper understanding of topological states of matter. It can be observed as the double-frequency Hall voltage response to an ac longitudinal current in the presence of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Z. Z. Du , C. M. Wang , Shuai Li , Hai-Zhou Lu , X. C. Xie

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

Valley-contrasting Hall transport conventionally relies on the inversion symmetry breaking in two-dimensional systems, which greatly limits the selection range of valley materials. In particular, while monolayer transition metal…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Zhichao Zhou , Ruijing Fang , Zhen Zhang , Xiaoyu Wang , Jiayan Rong , Xiao Li

We propose an intrinsic nonlinear spin Hall effect, which enables the generation of collinearly-polarized spin current in a large class of nonmagnetic materials with the corresponding linear response being symmetry-forbidden. This opens a…

Mesoscale and Nanoscale Physics · Physics 2024-07-26 Hui Wang , Huiying Liu , Xukun Feng , Jin Cao , Weikang Wu , Shen Lai , Weibo Gao , Cong Xiao , Shengyuan A. Yang

Nonlinear transport plays a vital role in probing the quantum geometry of Bloch electrons, valley chirality, and carrier scattering mechanisms. The nonlinear Hall effect, characterized by a nonlinear scaling of Hall voltage with…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Xin Liao , Xing-Yu Liu , An-Qi Wang , Qing Yin , Tong-Yang Zhao , Zhi-Min Liao

Transport measurements are a powerful way to probe the electronic structure of quantum materials, but the information they contain is often convoluted. Yet, in particular for simple low-energy fermiologies, and by combining linear and…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Andrea Kouta Dagnino , Xiaoxiong Liu , Titus Neupert

The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 Carmine Ortix

Unconventional responses upon breaking discrete or crystal symmetries open avenues for exploring emergent physical systems and materials. By breaking inversion symmetry, a nonlinear Hall signal can be observed, even in the presence of…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

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 predict a giant cyclotron resonance in the nonlinear valley Hall response of inversion-asymmetric two-dimensional semiconductors subjected to crossed terahertz electric and static magnetic fields. By employing a two-band Hamiltonian that…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 V. N. Ivanova , V. M. Kovalev , I. G. Savenko

Valley Hall effect is an appearance of the valley current in the direction transverse to the electric current. We develop the microscopic theory of the valley Hall effect in two-dimensional semiconductors where the electrons are dragged by…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 M. M. Glazov , L. E. Golub

Graphene subject to high levels of shear strain leads to strong pseudo-magnetic fields resulting in the emergence of Landau levels. Here we show that, with modest levels of strain, graphene can also sustain a classical valley hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Xian-Peng Zhang , Chunli Huang , Miguel A. Cazalilla

We propose a geometric phase-resolved tunneling valley Hall effect based on the coherent transmission through two combined electric barriers in $\alpha-\mathcal{T}_3$ lattices. It is shown that the backreflected electrons at the barrier…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 W. Zeng
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