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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 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…

材料科学 · 物理学 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

The emergence of the fascinating non-linear Hall effect intrinsically depends on the non-zero value of the Berry curvature dipole. In this work, we predict that suitable strain engineering in layered van der Waals material phosphorene can…

介观与纳米尺度物理 · 物理学 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Recent experiments have measured local uniaxial strain fields in twisted bilayer graphene (TBG). Our calculations found that the finite Berry curvature generated by breaking the sublattice symmetry and the band proximity between narrow…

介观与纳米尺度物理 · 物理学 2021-05-12 Pierre A. Pantaleón , Tony Low , Francisco Guinea

Recently it has been discovered that in Weyl semimetals the surface state Berry curvature can diverge in certain regions of momentum. This occurs in a continuum description of tilted Weyl cones, which for a slab geometry results in the…

介观与纳米尺度物理 · 物理学 2023-07-06 Dennis Wawrzik , Jeroen van den Brink

Two-dimensional (2D) Dirac states and Dirac points with linear dispersion are the hallmark of graphene, topological insulators, semimetals, and superconductors. Lowering a symmetry by the ferroelectric polarization opens the gap in Dirac…

介观与纳米尺度物理 · 物理学 2025-07-03 Konstantin S. Denisov , Yuntian Liu , Igor Žutić

Breaking lattice symmetry is crucial for generating a nonzero Berry curvature. While manipulating twisting angles between adjacent layers has successfully broken lattice symmetry through strain field and generated nonzero Berry curvature,…

介观与纳米尺度物理 · 物理学 2024-12-19 Jie Pan , Huanhuan Wang , Lin Zou , Haibo Xie , Yi Ding , Yuze Zhang , Aiping Fang , Zhe Wang

Berry curvature dipole plays an important role in various nonlinear quantum phenomena. However, the maximum symmetry allowed for nonzero Berry curvature dipole in the transport plane is a single mirror line, which strongly limits its…

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

介观与纳米尺度物理 · 物理学 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang

The Berry curvature dipole is a physical quantity that is expected to allow various quantum geometrical phenomena in a range of solid-state systems. Monolayer transition metal dichalcogenides provide an exceptional platform to modulate and…

介观与纳米尺度物理 · 物理学 2019-09-04 Joolee Son , Kyung-Han Kim , Y. H. Ahn , Hyun-Woo Lee , Jieun Lee

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

介观与纳米尺度物理 · 物理学 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Recent experimental evidence for the quantum spin Hall (QSH) state in monolayer WTe$_2$ has bridged two of the most active fields of condensed matter physics, 2D materials and topological physics. This 2D topological crystal also displays…

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…

介观与纳米尺度物理 · 物理学 2020-12-15 Hongchao Li

We show that Weyl Fermi arcs are generically accompanied by a divergence of the surface Berry curvature scaling as $1/k^2$, where $k$ is the distance to a hot-line in the surface Brillouin zone that connects the projection of Weyl nodes…

介观与纳米尺度物理 · 物理学 2021-08-05 Dennis Wawrzik , Jhih-Shih You , Jorge I. Facio , Jeroen van den Brink , Inti Sodemann

Topologically non-trivial states characterized by Berry curvature appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene,…

介观与纳米尺度物理 · 物理学 2019-12-20 Sergey Slizovskiy , Edward McCann , Mikito Koshino , Vladimir I. Fal'ko

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…

介观与纳米尺度物理 · 物理学 2022-12-29 Narjes Kheirabadi , Abdollah Langari

The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as…

介观与纳米尺度物理 · 物理学 2024-09-17 Mark Morgenthaler , Inti Sodemann Villadiego

Nonlinear Hall-like currents can be generated by a time-periodic alternating bias on two-dimensional (2D) materials lacking inversion symmetry. To hint that the moir\'e between graphene and its supporting substrate contributes to the…

介观与纳米尺度物理 · 物理学 2025-01-10 Angiolo Huaman , Salvador Barraza-Lopez

We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

介观与纳米尺度物理 · 物理学 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest in novel phenomena, such as nonlinear anomalous Hall effects (NLAHE). The notion of Berry curvature…

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