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The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 James H. Cullen , Pankaj Bhalla , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

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

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

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…

Mesoscale and Nanoscale Physics · Physics 2018-10-09 Kaifei Kang , Tingxin Li , Egon Sohn , Jie Shan , Kin Fai Mak

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Debottam Mandal , Kamal Das , Amit Agarwal

Hall effect of two-dimensional holes that are spin-polarized by a strong parallel magnetic field was explored with a small tilt angle. The Hall resistivity increases nonlinearly with the magnetic field and exhibits negative corrections. The…

Mesoscale and Nanoscale Physics · Physics 2009-09-23 Hwayong Noh , S. Lee , S. H. Chun , H. C. Kim , L. N. Pfeiffer , K. W. West

We study the coupled dynamics of spin and charge currents in a two-dimensional electron gas in the transport diffusive regime. For systems with inversion symmetry there are established relations between the spin Hall effect, the anomalous…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 P. Schwab , R. Raimondi , C. Gorini

We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a…

Materials Science · Physics 2011-01-28 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

Nonlinear Hall effects have been previously investigated in non-centrosymmetric systems for electronic systems. However, they only exist in metallic systems and are not compatible with ferroelectrics since these latter are insulators, hence…

Materials Science · Physics 2023-06-28 W. Luo , J. Y. Ji , P. Chen , Y. Xu , L. F. Zhang , H. J. Xiang , L. Bellaiche

In this paper, the anomalous Hall effect of topologically-nontrivial MXenes, $M_2M'$C$_2$O$_2$, and the electronic structure in the presence of magnetic proximity effect is theoretically investigated. The theoretical analysis is performed…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Tetsuro Habe

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

We study the hitherto un-addressed phenomenon of Quantum Hall Effect with a magnetic and electric fields oscillating in time with resonant frequencies. This phenomenon realizes an example of heterodyne device with the magnetic field acting…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Takashi Oka , Leda Bucciantini

We study theoretically the zero temperature intrinsic anomalous Hall effect in an experimentally realized 2D spin-orbit coupled Bose gas. For anisotropic atomic interactions and as the spin-orbit coupling strength increases, the system…

Quantum Gases · Physics 2024-02-13 Canhao Chen , Guan-Hua Huang , Zhigang Wu

The electronic topology is generally related to the Berry curvature, which can induce the anomalous Hall effect in time-reversal symmetry breaking systems. Intrinsic monolayer transition metal dichalcogenides possesses two nonequivalent K…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Mao-Sen Qin , Peng-Fei Zhu , Xing-Guo Ye , Wen-Zheng Xu , Zhen-Hao Song , Jing Liang , Kaihui Liu , Zhi-Min Liao

When a conduction electron couples with a non-coplanar localized magnetic moment, the realspace Berry curvature is exerted to cause the geometrical Hall effect, which is not simply proportional to the magnetization. So far, it has been…

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…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Jae-Mo Lihm , Cheol-Hwan Park

We have investigated the complex two-dimensional electron system with unequal Rashba and Dresselhaus spin-orbit interactions in the presence of a perpendicular magnetic field. The spin polarizations are obtained in a wide range of magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Degang Zhang , C. S. Ting

The nonlinear Hall effect has opened the door towards deeper understanding of topological states of matter. It can be observed as the double-frequency Hall voltage response to an ac longitudinal current in the presence of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Z. Z. Du , C. M. Wang , Shuai Li , Hai-Zhou Lu , X. C. Xie