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The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

Strongly Correlated Electrons · Physics 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

The spin Hall effect (SHE), in which electrical current generates transverse spin current, plays an important role in spintronics for the generation and manipulation of spin-polarized electrons. The phenomenon originates from spin-orbit…

The geometric phase is known to play a role both in the rotation of the Foucault pendulum and in the anomalous Hall effect (AHE) due to the Berry curvature. Here, we show that a 2D harmonic oscillator with AHE induced by Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 D. D. Solnyshkov , I. Septembre , K. Ndiaye , G. Malpuech

Under time-reversal symmetry, a linear charge Hall response is usually deemed to be forbidden by the Onsager relation. In this work, we discover a scenario for realizing a time-reversal even linear charge Hall effect in a non-isolated…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Dawei Zhai , Cong Chen , Cong Xiao , Wang Yao

The nonlinear Hall effect has attracted considerable attention and undergone extensive investigation in recent years. However, theoretical studies addressing size-dependent effects remain largely unexplored. In this work, we establish a…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Xinyu Liu , Haozhi Liao , Guangyun Qi , Hao Geng , Li Sheng , Dingyu Xing

Anomalous Hall effect studies on ultrathin Si(50Angstrom)/Fe(t_Fe) bilayers were performed at 300 K. Giant enhancements of about 60 times in saturation anomalous Hall resistivity and 265 times in anomalous Hall coefficient (R_s) were…

Materials Science · Physics 2026-01-19 S. S. Das , M. Senthil Kumar

The characterization and the experimental measurement of the Berry curvature in solids have become an increasingly relevant task in condensed matter physics. We present the theoretical prediction of a gate tunable anomalous Hall effect…

Inversion symmetry breaking and spin-orbit coupling lead to valley and spin Hall effect in MoS2. Because of the large valley separation in momentum space, the valley index is expected to be robust. In this paper, quantum Hall effect in MoS2…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Michael Zhang , Gerry West

We demonstrate robust and reversible electric-current control of the anomalous Hall effect (AHE) in a two-dimensional WTe2/Fe3GeTe2 (FGT) stack. Applying a current through Td-WTe2 leads to a giant modulation of the AHE of the adjacent FGT…

The third-order nonlinear Hall effect induced by Berry-connection polarizability tensor has been observed in Weyl semimetals T$_d$-MoTe$_2$ as well as T$_d$-TaIrTe$_4$. The experiments were performed on bulk samples, and the results were…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Miaomiao Wei , Longjun Xiang , Luyang Wang , Fuming Xu , Jian Wang

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

A new nonlinear scheme of high harmonics generation in a wide class of time-reversal invariant materials with broken spatial inversion symmetry (where recently the nonlinear Hall effect has been established) due to the nontrivial topology…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 H. K. Avetissian , G. F. Mkrtchian

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…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Dennis Wawrzik , Jeroen van den Brink

Researches on anomalous Hall effect (AHE) have been lasting for a century to make clear the underlying physical mechanism. Generally, the AHE appears in magnetic materials, in which extrinsic process related to scattering effects and…

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

The $\mathrm{Co_2}$ family of ferromagnetic Heusler alloys have attracted interest due to their fully spin-polarized nature, making them ideal for applications in spintronic devices. More recently, the existence of room temperature…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rishi Bhandia , Bing Cheng , Tobias Brown-Heft , Shouvik Chatterjee , Christopher J. Palmstrøm , N. Peter Armitage

The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

Semiconductor transistors are essential elements of electronic circuits as they enable, for example, the isolation or amplification of voltage signals. While conventional transistors are point-type (lumped-element) devices, it may be highly…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Tatiana G. Rappoport , Tiago A. Morgado , Sylvain Lannebère , Mário G. Silveirinha

The observation of non-linear Hall effects in time-reversal invariant systems has established the intriguing role of band topology beyond Berry curvature in determining transport phenomena. Many of these non-linear responses owe their…

Materials Science · Physics 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

Sliding is a ubiquitous phenomenon in moir\'e systems, but its direct influence on moir\'e bands, especially in multi-twist moir\'e systems, has been largely overlooked to date. Here, we theoretically show that sliding provides a unique…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Shi-Ping Ding , Miao Liang , Tian-Le Wu , Meng-Hao Wu , Jing-Tao Lü , Jin-Hua Gao , X. C. Xie