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We review recent investigations of the femtosecond non-linear optical response of the two-dimensional electron gas (2DEG) in a strong magnetic field. We probe the Quantum Hall (QH) regime for filling factors $\nu \sim 1$. Our focus is on…

Mesoscale and Nanoscale Physics · Physics 2008-08-05 K. M. Dani , E. G. Kavousanaki , J. Tignon , D. S. Chemla , I. E. Perakis

Studies of moire systems have elucidated the exquisite effect of quantum geometry on the electronic bands and their properties, leading to the discovery of new correlated phases. However, most experimental studies have been confined to a…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Zhurun Ji , Yuzhou Zhao , Yicong Chen , Ziyan Zhu , Yuhui Wang , Wenjing Liu , Gaurav Modi , Eugene J. Mele , Song Jin , Ritesh Agarwal

A circularly polarized a.c. pump field illuminated near resonance on two-dimensional transition metal dichalcogenides (TMDs) produces an anomalous Hall effect in response to a d.c. bias field. In this work, we develop a theory for this…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Phuong X. Nguyen , Wang-Kong Tse

The nonlinear Hall effect has recently garnered significant attention as a powerful probe of Fermi surface quantum geometry in metals. While current studies mainly focus on the nonlinear Hall response driven by quasi-static electric fields…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Wen-Yu He , K. T. Law

The anomalous Hall effect has been understood in terms of the geometric nature of Bloch bands and impurity scattering, and has been observed in a wide variety of magnetic materials such as ferromagnets and antiferromagnets. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Ibuki Terada , Vu Thi Ngoc Huyen , Yuki Yanagi , Michi-To Suzuki

Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Atasi Chakraborty , Kamal Das , Subhajit Sinha , Pratap Chandra Adak , Mandar M. Deshmukh , Amit Agarwal

Cavity quantum electrodynamics (cQED) provides strong light-matter interactions that can be used for manipulating and detecting quantum states. The interaction can be enhanced by increasing the resonator's impedance, while approaching the…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Chaojing Lin , Kosei Teshima , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

Magneto-nonlinear Hall effect is known to be intrinsic and requires time-reversal symmetry. Here we show that a new type of magneto-nonlinear Hall effect can occur in the time-reversal breaking materials within the second-order response to…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Anwei Zhang , Jun-Won Rhim

We experimentally realize a photonic analogue of the anomalous quantum Hall insulator using a two-dimensional (2D) array of coupled ring resonators. Similar to the Haldane model, our 2D array is translation invariant, has zero net gauge…

Quantum geometric electronic responses are often viewed through a non-interacting lens: independent quasiparticles accumulate Berry phases as they move through a static crystal and background potential. Here we argue that the combined…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 John Tan , Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

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

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Meizhen Huang , Zefei Wu , Jinxin Hu , Xiangbin Cai , En Li , Liheng An , Xuemeng Feng , Ziqing Ye , Nian Lin , Kam Tuen Law , Ning Wang

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…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

The recent discovery of robust quantum anomalous Hall (QAH) effect in rhombohedral multilayer graphene (RMG) aligned with hexagonal boron nitride (hBN) has established a highly versatile platform for correlated topological matter. This…

Strongly Correlated Electrons · Physics 2026-02-16 Jiannan Hua , Jing Ding , W. Zhu , Shui-gang Xu

The unusual properties of two-dimensional electron systems that give rise to the quantum Hall effect have prompted the development of new microscopic models for electrical conduction. The bulk properties of the quantum Hall effect have also…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 S. H. Tessmer , P. I. Glicofridis , R. C. Ashoori , L. S. Levitov , M. R. Melloch

Electrons moving through a noncoplanar magnetic texture acquire a Berry phase, which can be described as an effective magnetic field. This effect is known as the topological Hall effect and has been observed in topological spin textures.…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Tan Dao , Sergey S. Pershoguba , Jiadong Zang

The interplay between quantum geometry and magnetic order offers a novel strategy for designing next-generation nanodevices. Here, we demonstrate that interlayer magnetic coupling in two-dimensional (2D) CoPSe3 bilayers enables precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Zhenning Sun , Tao Wang , Hao Jin , Xinru Li , Yadong Wei , Jian Wang

We investigate light scattering by coated spheres composed of a dispersive plasmonic core and a dielectric shell. By writing the absorption cross-section in terms of the internal electromagnetic fields, we demonstrate it is an observable…

Optics · Physics 2015-06-15 Tiago J. Arruda , Alexandre S. Martinez , Felipe A. Pinheiro

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic…

Numerical Analysis · Mathematics 2019-04-22 Matthias Maier , Marios Mattheakis , Efthimios Kaxiras , Mitchell Luskin , Dionisios Margetis