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The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

介观与纳米尺度物理 · 物理学 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and…

介观与纳米尺度物理 · 物理学 2021-12-01 Rajesh K. Malla , Avadh Saxena , Wilton J. M. Kort-Kamp

The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of…

介观与纳米尺度物理 · 物理学 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

介观与纳米尺度物理 · 物理学 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry…

量子气体 · 物理学 2018-09-12 Swati Chaudhary , Manuel Endres , Gil Refael

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

Berry curvature, as the imaginary component of quantum geometry, plays a crucial role in condensed matter physics. The spatial distribution of Berry curvature can be characterized by its dipole and multipole moments, which can induce the…

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

介观与纳米尺度物理 · 物理学 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

The relativistic nature of the electron motion underlies the intrinsic part of the anomalous Hall effect, believed to dominate in ferromagnetic (Ga,Mn)As. In this paper, we concentrate on the crystal band structure as an important facet to…

材料科学 · 物理学 2010-04-22 Agnieszka Werpachowska , Tomasz Dietl

We develop a theory for the nonlinear time domain response of a Weyl semimetal driven by an ultrafast optical pulse. At quadratic order in the driving field we find that the response near a band inversion transition contains a coherent…

介观与纳米尺度物理 · 物理学 2020-10-07 Zachariah Addison , E. J. Mele

Photovoltaic Hall effect, i.e., generation of a photocurrent perpendicular to the bias electric field, is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced…

材料科学 · 物理学 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

介观与纳米尺度物理 · 物理学 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

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 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

We propose the linear and nonlinear planar Hall effect (PHE) in tilted Weyl semimetals in the presence of an in-plane magnetic and electric field, where the field-induced Berry connection (FBC) plays a key role. We show that the PHE is…

介观与纳米尺度物理 · 物理学 2023-03-08 YuanDong Wang , Zhen-Gang Zhu , Gang Su

In non-Hermitian band structures, exceptional points generically form gapless lines or loops that give rise to extensively many defective eigenstates. In this work, we investigate how they nontrivially contribute to higher-order nonlinear…

介观与纳米尺度物理 · 物理学 2025-06-13 Fang Qin , Ruizhe Shen , Ching Hua Lee

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…

材料科学 · 物理学 2020-01-23 Zhi Li , Takami Tohyama , Toshiaki Iitaka , Haibin Su , Haibo Zeng

Electron motion in crystals is governed by the coupling between crystal momentum and internal degrees of freedom such as spin implicit in the band structure. The description of this coupling in terms of a momentum-dependent effective field…

介观与纳米尺度物理 · 物理学 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…