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The discovery of the integer quantum Hall effect in the early eighties of the last century, with highly precise quantization values for the Hall conductance in multiples of $e^2/h$, has been the first fascinating manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Alessandro Cresti , Branislav K. Nikolić , Jose Hugo García , Stephan Roche

We have developed a theory of the anomalous Hall effect in two-dimensional electron gas in the case where the time of electron-electron collisions is much smaller than the transport relaxation time. The transition between the diffusion…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 D. S. Zohrabyan , M. M. Glazov

The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 M. V. Cheremisin

We predict the emergence and quantization of the valley Hall current of indirect excitons residing in noncentrosymmetric two-dimensional materials in the absence of an external magnetic field. Thus we report on the quantum anomalous valley…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 V. M. Kovalev , I. G. Savenko

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

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

Semiclassical chiral fermions manifest the anomalous spin-Hall effect: when put into a pure electric field they suffer a side jump, analogous to what happens to their massive counterparts in non-commutative mechanics. The transverse shift…

High Energy Physics - Theory · Physics 2014-10-16 P. -M. Zhang , P. A. Horváthy

In this paper, we develop a unified theory for describing Hall effect in various electronic systems based on a pure electron picture (without the hole concept). We argue that the Hall effect is the magnetic field induced symmetry breaking…

Strongly Correlated Electrons · Physics 2009-01-26 X. Q. Huang

Existing investigations of the anomalous Hall effect i.e. a current flowing transverse to the electric field in the absence of an external magnetic field) are concerned with the transport current. However, for many applications one needs to…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. G. Silvestrov , P. Recher

The Hall effect that occurs when current flows through a CoFeB/MgO/Pt tunnel junction is investigated. It is shown that the transverse voltage in Pt electrode is nonlinear on a DC voltage applied to the tunnel junction. It has both linear…

Other Condensed Matter · Physics 2025-04-01 I. Yu. Pashenkin , M. V. Sapozhnikov , N. S. Gusev , E. A. Karashtin , A. A. Fraerman

Since the first experimental observation of the phonon Hall effect (PHE) in 2005, its physical origin and theoretical explanation have been extensively investigated. While spin-orbit interactions are believed to play important roles under…

Materials Science · Physics 2020-10-28 Kangtai Sun , Zhibin Gao , Jian-Sheng Wang

The classical Hall effect, the traditional means of determining charge-carrier sign and density in a conductor, requires a magnetic field to produce transverse voltages across a current-carrying wire. We show that along curved paths --…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Nicholas B. Schade , David I. Schuster , Sidney R. Nagel

The spin Hall effect does not generally result in a charge Hall voltage. We predict that in systems with inhomogeneous electron density in the direction perpendicular to main current flow, the spin Hall effect is instead accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2008-03-23 Yu. V. Pershin , M. Di Ventra

We show theoretically that two-dimensional direct-gap semiconductors with a valley degree of freedom, including monolayer transition-metal dichalcogenides and gapped bilayer graphene, have a longitudinal magnetoconductivity contribution…

Mesoscale and Nanoscale Physics · Physics 2020-02-07 Akihiko Sekine , Allan H. MacDonald

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…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

Valleytronics harnesses the valley degree of freedom -- energy-degenerate extrema in the electronic band structure -- for information storage and processing. Valley Hall effect (VHE) is a cornerstone of valleytronics, enabling electric…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Jin Cao , Shen Lai , Cong Xiao , Qian Niu , Shengyuan A. Yang

A theory of the weak field Hall effect of Bloch electrons based on the analysis of the forces acting on electrons is presented. It is argued that the electric current is composed of two contributions, that driven by the electric field along…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pavel Streda , Thibaut Jonckheere

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 D. S. Zohrabyan , M. M. Glazov

Producing currents predominantly from a single valley, namely valley-polarized currents, at optical-cycle timescales is an important aspect of the petahertz valleytronics, yet it remains less developed. This work exhibits the feasibility of…

Optics · Physics 2025-03-13 Wenqing Li , Xiaosong Zhu , Liang Li , Wanzhu He , Jie Long , Pengfei Lan , Peixiang Lu

When graphene is deformed in a dynamical manner, a time-dependent potential is induced for the electrons. The potential is antisymmetric with respect to valleys, and some straightforward applications are found for Raman spectroscopy. We…

Mesoscale and Nanoscale Physics · Physics 2014-11-17 Ken-ichi Sasaki , Yasuhiro Tokura , Hideki Gotoh
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