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Interaction driven symmetry breaking in a metallic (doped) Dirac system can manifest in the spontaneous gap generation at the nodal point buried below the Fermi level. Across this transition linear conductivity remains finite making its…

介观与纳米尺度物理 · 物理学 2020-02-25 Habib Rostami , Vladimir Juričić

Recent theoretical work has shown that higher-order moments of the Berry curvature, e.g., Berry curvature quadrupole and hexapole moments, can produce the leading order nonlinear anomalous Hall response (NLAH) in systems with special…

介观与纳米尺度物理 · 物理学 2024-11-13 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

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…

介观与纳米尺度物理 · 物理学 2021-07-23 Carmine Ortix

It has recently been realized that the first-order moment of the Berry curvature, namely the Berry curvature dipole (BCD) can give rise to non-linear current in a wide variety of time-reversal invariant and non-centrosymmetric materials.…

介观与纳米尺度物理 · 物理学 2021-05-31 Sai Satyam Samal , S. Nandy , Kush Saha

The nonlinear Hall effect (NLHE), an emergent response in systems with broken inversion symmetry, provides a powerful tool for probing topological transport properties. In this context, we investigate copper-substituted lead apatite…

材料科学 · 物理学 2025-09-16 Bishnu Karki , Kai Chen , Pavan Hosur

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

介观与纳米尺度物理 · 物理学 2025-10-22 Narjes Kheirabadi , YuanDong Wang

Various nonlinear characteristics of solid states, such as the circular photogalvanic effect of time-reversal symmetric insulators, the quantized photogalvanic effect of Weyl semimetals, and the nonlinear Hall effect of time-reversal…

介观与纳米尺度物理 · 物理学 2022-11-30 Mahmut Sait Okyay , Shunsuke Sato , Kunwoo Kim , Binghai Yan , Hosub Jin , Noejung Park

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing…

材料科学 · 物理学 2018-01-10 Yang Zhang , Yan Sun , Binghai Yan

Electrons moving in a Bloch band are known to acquire an anomalous Hall velocity proportional to the Berry curvature of the band which is responsible for the intrinsic linear Hall effect in materials with broken time-reversal symmetry.…

介观与纳米尺度物理 · 物理学 2019-12-17 O. Matsyshyn , I. Sodemann

Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

介观与纳米尺度物理 · 物理学 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

We investigate the influence of surface states on the nonlinear Hall response of non-centrosymmetric time-reversal invariant Weyl semimetals. To do so, we perform a tomography of the Berry curvature dipole in a slab system using a minimal…

介观与纳米尺度物理 · 物理学 2022-06-20 Diego García Ovalle , Armando Pezo , Aurélien Manchon

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…

介观与纳米尺度物理 · 物理学 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal

The Berry phase and curvature are studied for the Dirac nodal line semimetal of single-component molecular conductor [Pd(dddt)$_2$]. Using two-band model on the basis of a tight-binding model, it is shown that the Berry curvature,…

介观与纳米尺度物理 · 物理学 2018-09-25 Yoshikazu Suzumura , Ai Yamakage

We propose that a nonlinear Hall response can be observed in Bloch oscillations of ultracold atoms in optical lattices under the condition of preserved time-reversal symmetry. In the short-time limit of Bloch oscillations driven by a direct…

量子气体 · 物理学 2024-08-26 Xiao-Long Chen , Wei Zheng

Quantum geometry may enable the development of quantum phases ranging from superconductivity to correlated topological states. One powerful probe of quantum geometry is the nonlinear Hall response which detects Berry curvature dipole in…

介观与纳米尺度物理 · 物理学 2026-05-11 Yuan Fang , Shouvik Sur , Yonglong Xie , Qimiao Si

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

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…

介观与纳米尺度物理 · 物理学 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

Magnetic topological materials and their physical signatures are a focus of current research. Here, by first-principles calculations and symmetry analysis, we reveal topological semimetal states in an existing antiferromagnet ThMn2Si2.…

材料科学 · 物理学 2023-05-24 Ziming Zhu , Huiying Liu , Yongheng Ge , Zeying Zhang , Weikang Wu , Cong Xiao , Shengyuan A. Yang

The nonlinear Hall effect (NLHE) connects crystalline symmetry to quantum geometry, offering a probe of band topology beyond linear transport. While most studies have focused on the Berry curvature dipole in low-symmetry crystals,…

介观与纳米尺度物理 · 物理学 2026-05-01 Heda Zhang , Nikolai Peshcherenko , Ning Mao , Nianlong Zou , Jiaqiang Yan , Claudia Felser , Yang Zhang