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The quantum Hall effect realizes a quantized Hall resistance $R_{xy} = h/(\nu e^2)$ whereas the longitudinal resistance vanishes. The quantized value consists of the fundamental physical quantities, the elementary charge $e$ and the Planck…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Hiroki Isobe

The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field. \rev{The…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 C. X. Zhang , M. A. Zubkov

Head-to-head ferroelectric domain walls are intrinsically charged, and are typically compensated by a mix of oppositely charged defects and free electrons. The free electrons form a two-dimensional electron gas (2DEG) along the domain wall.…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Maryam A. Nasir , W. A. Atkinson

A theory for the coupling constants between spin polarized degenerate fermionic atoms is developed for the case of atoms confined to a quasi one-dimensional harmonic trap. Exploiting the presence of the Fermi edge and the large number of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Gleisberg , W. Wonneberger

For certain non-magnetic solids with low symmetry the occurrence of spin-polarized longitudinal currents is predicted. These arise due to an interplay of spin-orbit interaction and the particular crystal symmetry. This result is derived…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 S. Wimmer , M. Seemann , K. Chadova , D. Ködderitzsch , H. Ebert

Using Hall-MHD theory, we focus on the resonant interaction between three kinetic Alfv\'{e}n waves. We thus derive three coupled equations which govern this process. It turns out that these equations contain the same coupling coefficient,…

Plasma Physics · Physics 2009-11-11 P. K. Shukla , G. Brodin , L. Stenflo

A general form of the Hamiltonian for electrons confined to a curved one-dimensional (1D) channel with spin-orbit coupling (SOC) linear in momentum is rederived and is applied to a U-shaped channel. Discretizing the derived continuous 1D…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 Ming-Hao Liu , Jhih-Sheng Wu , Son-Hsien Chen , Ching-Ray Chang

Hall effect in high-mobility 2D mesoscopic samples with hydrodynamic electron transport is related to manifestation of non-dissipative Hall viscosity at classical magnetic fields. However, the latter can be obscured by the particular…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 A. A. Grigorev , A. N. Afanasiev

We show that a two-dimensional spin-orbit-coupled system in the presence of a charge/spin-density wave with a wave-vector perpendicular to an applied electric field supports bulk manifestations of the direct/inverse spin-Hall effect. We…

Materials Science · Physics 2010-03-15 Brandon Anderson , Tudor D. Stanescu , Victor Galitski

We consider determination of spin-orbit (SO) coupling constants for the two-dimensional electron gas from measurements of electric properties in rotated in-plane magnetic field. %Due to the interplay Due to the SO coupling the electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 K. Kolasiński , H. Sellier , B. Szafran

Using the Matsubara Green function formalism we calculate the temperature dependence of spin Hall and spin Nernst conductivities of a two-dimensional electron gas with Rashba spin-orbit interaction in the linear response regime. In the case…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 A. Dyrdał , J. Barnaś , V. K. Dugaev

We consider the low-energy excitations of one-dimensional spin-orbital models which consist of spin waves, orbital waves, and joint spin-orbital excitations. Among the latter we identify strongly entangled spin-orbital bound states which…

Strongly Correlated Electrons · Physics 2012-09-11 Wen-Long You , Andrzej M. Oleś , Peter Horsch

We consider the interacting, spin conserving, extended Kane-Mele-Hubbard model, and we rigorously establish the exact quantization of the edge spin conductance and the validity of the Helical Luttinger liquid relations for Drude weights and…

Strongly Correlated Electrons · Physics 2018-01-03 Vieri Mastropietro , Marcello Porta

A Hamiltonian formalism is employed to elucidate the effects of the Stern-Gerlach force on beams of relativistic spin-polarized particles, for passage through a localized region with a static magnetic or electric field gradient. The problem…

Accelerator Physics · Physics 2016-11-23 S. R. Mane

We study the effect of spin-orbit interaction and in-plane effective magnetic field on the conductance of a quasi-one-dimensional ballistic electron system. The effective magnetic field includes the externally applied field, as well as the…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , James A. Nesteroff , Vladimir Privman

We derive an effective Hamiltonian for the two-dimensional Hubbard-Holstein model in the regimes of strong electron-electron and strong electron-phonon interactions by using a nonperturbative approach. In the parameter region where the…

Strongly Correlated Electrons · Physics 2018-10-17 A. Ghosh , S. Kar , S. Yarlagadda

Spin current of two-dimensional holes occupying the ground-state subband in an asymmetric quantum well and interacting with static disorder potential is calculated in the presence of a weak magnetic field H perpendicular to the well plane.…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 O. E. Raichev

The spin Hall conductivity is usually calculated for periodic solids, while the knowledge of local contributions from inhomogeneous regions like interfaces or surfaces would be desirable. In this work we derive a local expression for the…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Tomáš Rauch , Franziska Töpler , Ingrid Mertig

We have studied a simple effective model of charge ordered insulators. The tight binding Hamiltonian consists of the effective on-site interaction U and the intersite density-density interaction Wij (both: nearest-neighbor and…

Strongly Correlated Electrons · Physics 2023-07-19 Konrad Kapcia , Stanisław Robaszkiewicz

We found the universal relationship between frequency-dependent spin-Hall conductivity and magnetic susceptibility in clean 2D electron systems with Rashba coupling: $\sigma_{sH}(\Omega)= \frac{e}{(g\mu_B)^2m_b}\chi_\parallel(\Omega)$ in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ol'ga V. Dimitrova