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Related papers: Hall Conductivities for Confined System in Noncomm…

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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

We theoretically propose a mechanism for the anomalous Hall effect (AHE) in an antiferrromagnetic (AFM) state of $\kappa$-type organic conductors. We incorporate the spin-orbit coupling in the effective Hubbard model on the $\kappa$-type…

Strongly Correlated Electrons · Physics 2020-08-19 Makoto Naka , Satoru Hayami , Hiroaki Kusunose , Yuki Yanagi , Yukitoshi Motome , Hitoshi Seo

We discuss the role that interactions play in the non-commutative structure that arises when the relative coordinates of two interacting particles are projected onto the lowest Landau level. It is shown that the interactions in general…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F G Scholtz , B Chakraborty , S Gangopadhyay , J Govaerts

We investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Cong Son Ho , Mansoor B. A. Jalil , Seng Ghee Tan

We show that the entanglement spectrum associated with a certain class of strongly correlated many-body states --- the wave functions proposed by Laughlin and Jain to describe the fractional quantum Hall effect --- can be very well…

Strongly Correlated Electrons · Physics 2016-08-08 Simon C. Davenport , Iván D. Rodríguez , J. K. Slingerland , Steven H. Simon

We propose a theory for thermal Hall transport mediated by magnons to address the impact of their damping resulting from magnon-magnon interactions in insulating magnets. This phenomenon is anticipated to be particularly significant in…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip, using boundary conditions to investigate the influence of finite-size effects on the Hall conductivity. By exploiting the translation symmetry…

Mesoscale and Nanoscale Physics · Physics 2023-01-26 Giuliano Angelone , Manuel Asorey , Paolo Facchi , Davide Lonigro , Yisely Martinez

We theoretically study the Hall response of a lattice system following a quench where the topology of a filled band is suddenly changed. In the limit where the physics is dominated by a single Dirac cone, we find that the change in the Hall…

Quantum Gases · Physics 2016-11-11 F. Nur Ünal , Erich J. Mueller , M. Ö. Oktel

Here we suggest a novel hybrid spin noise spectroscopy technique, which is sensitive to the spin Hall effect. It is shown that, while the standard spin-spin correlation function is not sensitive to the spin Hall effect, spin-transverse…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 V. A. Slipko , N. A. Sinitsyn , Y. V. Pershin

We derive rigorously the relativistic angular momentum conservation equation by means of quantum electrodynamics. The novel nonrelativistic spin current and torque in the spin-orbit coupling system, up to the order of $1/c^{4}$, are exactly…

Strongly Correlated Electrons · Physics 2015-06-03 Yong-Ping Fu , Dong Wang , F. J. Huang , Y. D. Li , W. M. Liu

Formulation of quantum Hall dynamics using von Neumann lattice of guiding center coordinates is presented. A topological invariant expression of the Hall conductance is given and a new mean field theory of the fractional Hall effect based…

Condensed Matter · Physics 2009-10-28 Kenzo Ishikawa , Nobuki Maeda

We study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Jian Li , Tomas Jungwirth , Qian Niu , Shun-Qing Shen , Jairo Sinova

We present an exact derivation for non-commuting coordinates induced by the SU(2) transformation used to diagonalize the spin-orbit hamiltonian in two dimension.As a result an exact non-dissipative Hall current less sensitive to disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

Motivated by a recent experiment[Nature {\bf 442}, 176 (2006)], we present a quantitative microscopic theory to investigate the inverse spin-Hall effect with spin injection into aluminum considering both intrinsic and extrinsic spin-orbit…

Materials Science · Physics 2009-11-11 S. Y. Liu , Norman J. M. Horing , X. L. Lei

We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Peter Schwab

We report a magnetotransport study of the termination of the spin-resolved integer quantum Hall effect by controlled disorder in a gated GaAs/AlGaAs heterostructure. We have found that, for a given N^{th} Landau level, the difference in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. W. Wong , H. W. Jiang , E. Palm , W. J. Schaff

It is well known that the quantum Hall conductivity in the presence of constant magnetic field is expressed through the topological TKNN invariant. The same invariant is responsible for the intrinsic anomalous quantum Hall effect (AQHE),…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 I. V. Fialkovsky , M. Suleymanov , Xi Wu , C. X. Zhang , M. A. Zubkov

We present an extension of the relativistic electron transport theory for the standard (charge) conductivity tensor of random alloys within the tight-binding linear muffin-tin orbital method to the so-called spin-dependent conductivity…

Materials Science · Physics 2019-11-18 Ilja Turek , Josef Kudrnovsky , Vaclav Drchal

The mutual interplay between electron transport and magnetism has attracted considerable attention in recent years, primarily motivated by strategies to manipulate magnetic degrees of freedom electrically, such as spin-orbit torques and…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Hong Liu , Rhonald Burgos Atencia , Nikhil Medhekar , Dimitrie Culcer

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene M. Chudnovsky