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The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

介观与纳米尺度物理 · 物理学 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

In topological materials, Berry curvature leads to intrinsic Hall responses. Focusing on time-reversal symmetric systems with broken inversion symmetry, a spontaneoous (zero magnetic field) Hall effect is expected to develop under an…

介观与纳米尺度物理 · 物理学 2025-05-21 Shouvik Sur , Lei Chen , Yiming Wang , Chandan Setty , Silke Paschen , Qimiao Si

The Hall effect occurs only in systems with broken time-reversal symmetry, such as solids under an external magnetic field in the ordinary Hall effect and magnetic materials in the anomalous Hall effect (AHE). Here we show a new Hall effect…

介观与纳米尺度物理 · 物理学 2018-10-09 Kaifei Kang , Tingxin Li , Egon Sohn , Jie Shan , Kin Fai Mak

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

2D materials based superlattices have emerged as a promising platform to modulate band structure and its symmetries. In particular, moir\'e periodicity in twisted graphene systems produces flat Chern bands. The recent observation of…

The nonlinear Hall effect, which is the second-order harmonic charge Hall effect from the Berry curvature dipole in momentum space, has received much attention recently. As the responses to higher harmonics of the driving ac electric field…

材料科学 · 物理学 2021-10-14 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

The nonlinear Hall effect has attracted much attention due to the famous, widely adopted interpretation in terms of the Berry curvature dipole in momentum space. Using ab initio Boltzmann transport equations, we find a 60% enhancement in…

介观与纳米尺度物理 · 物理学 2024-03-13 Jae-Mo Lihm , Cheol-Hwan Park

We experimentally investigate non-linear Hall effect as zero-frequency and second-harmonic transverse voltage responses to ac electric current for topological semimetal GeTe. A thick single-crystal GeTe flake is placed on the Si/SiO$_2$…

介观与纳米尺度物理 · 物理学 2023-07-12 N. N. Orlova , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

Recently, signatures of nonlinear Hall effects induced by Berry-curvature dipoles have been found in atomically thin 1T'/Td-WTe$_2$. In this work, we show that in strained polar transition-metal dichalcogenides(TMDs) with 2H-structures,…

介观与纳米尺度物理 · 物理学 2020-02-24 Benjamin T. Zhou , Cheng-Ping Zhang , K. T. Law

We recently proposed quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions [Phys. Rev. Lett. 125, 030504 (2020)]. Conceptually, the scheme is based on the idea that aphysical monolayer optical…

We studied the nonlinear electric response in WTe2 and MoTe2 monolayers. When the inversion symmetry is breaking but the the time-reversal symmetry is preserved, a second-order Hall effect called the nonlinear anomalous Hall effect (NLAHE)…

材料科学 · 物理学 2018-10-10 Yang Zhang , Jeroen van den Brink , Claudia Felser , Binghai Yan

It has recently been demonstrated that various topological states, including Dirac, Weyl, nodal-line, and triple-point semimetal phases, can emerge in antiferromagnetic (AFM) half-Heusler compounds. However, how to determine the AFM…

介观与纳米尺度物理 · 物理学 2021-05-03 Cheng Chen , Huaiqiang Wang , Zhilong Yang , Haijun Zhang

Unconventional responses upon breaking discrete or crystal symmetries open avenues for exploring emergent physical systems and materials. By breaking inversion symmetry, a nonlinear Hall signal can be observed, even in the presence of…

介观与纳米尺度物理 · 物理学 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

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…

We study the Hall response of the Bose-Hubbard model subjected to a magnetic field. We show that the Hall conductivity is proportional to the particle density plus an integer. The phase diagram is intersected by topological transitions…

强关联电子 · 物理学 2012-05-25 Sebastian D. Huber , Netanel H. Lindner

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

介观与纳米尺度物理 · 物理学 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

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

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

介观与纳米尺度物理 · 物理学 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

材料科学 · 物理学 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

The $\alpha$-$T_3$ lattice, an interpolation model between the honeycomb lattice of graphene($\alpha=0$) and the dice lattice($\alpha=1$), undergoes a topological phase transition across $\alpha=1/\sqrt{2}$ when exposed to a circularly…

介观与纳米尺度物理 · 物理学 2023-02-22 Lakpa Tamang , Tutul Biswas