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The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. E. Raichev

We consider an electron coupled to a random magnetic field with local correlations and eventually non-zero average value. Starting from the source-term formalism of Levine, Libby and Pruisken, we define a generating function for static…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Furtlehner

In the presence of dense matter quantum anomalies give rise to two new transport phenomena. An anomalous current is generated either by an external magnetic field or through vortices in the fluid carrying the anomalous charge. The…

High Energy Physics - Theory · Physics 2015-03-19 Irene Amado , Karl Landsteiner , Francisco Pena-Benitez

High-frequency (HF) conductivity ($\sigma_{hf}$) measured by an acoustical method has been studied in GaAs/AlGaAs heterostructures in a linear and nonlinear regime on acoustic power. It has been shown that in the quantum Hall regime at…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , A. V. Suslov

The carrier spin and impurity spin densities in diluted magnetic semiconductors are considered using a semiclassical approach. Equations of motions for the spin densities and the carrier spin current density in the paramagnetic phase are…

Materials Science · Physics 2009-11-10 C. Timm , F. von Oppen , F. Höfling

We compute the longitudinal and Hall conductivities in the parallel phase of the Sakai-Sugimoto model with a transverse magnetic field. We find that the conductivities behave as if the charge of the system is made out of two different…

High Energy Physics - Theory · Physics 2009-09-24 Gilad Lifschytz , Matthew Lippert

The charge and spin Hall conductance of the two-dimensional hole gas within the Luttinger model with and without inversion symmetry breaking terms in a perpendicular magnetic field are studied, and two key phenomena are predicted. The sign…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tianxing Ma , Qin Liu

The expressions for average densities of currents and charges induced by a weak electromagnetic field in spatially inhomogeneous systems are obtained. The case of finite temperatures is considered. It is shown that average values are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. G. Lang , L. I. Korovin , S. T. Pavlov

A formula for the Hall conductivity of interacting electrons is given under the assumption that the ground state manifold is N_gs-fold degenerate and discrete translation symmetry is neither explicitly nor spontaneously broken.

Strongly Correlated Electrons · Physics 2012-11-20 Titus Neupert , Luiz Santos , Claudio Chamon , Christopher Mudry

Frequency dependent electronic transport is investigated for a two-dimensional disordered system in the presence of a strong perpendicular static magnetic field. The ac-conductivity is calculated numerically from Kubo's linear response…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Bäker , L. Schweitzer

Within the Kubo formalism, we estimate the spin-Hall conductivity in a two-dimensional electron gas with Rashba spin-orbit interaction and study its variation as a function of disorder strength and system size. The numerical algorithm…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

We consider the quantum Hall effect (QHE) in a system of interacting electrons. Our formalism is valid for systems in the presence of an external magnetic field, as well as for systems with a nontrivial band topology. That is, the…

Mesoscale and Nanoscale Physics · Physics 2022-09-01 J. Miller , M. A. Zubkov

Measurements of the Hall effect and the resistivity on precisely-patterned YBCO thin films in magnetic fields B from 0.5 to 6 T oriented parallel to the sample crystallographic c axis reveal a sign reversal of the Hall coefficient for B <=…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang , W. Goeb , R. Sobolewski

In double quantum wells electrons experience a Lorentz force oriented perpendicular to the structure plane when an electric current is driven perpendicular to the direction of an in-plane magnetic field. Consequently, the excess charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Kolorenc , L. Smrcka , P. Streda

The magnetocapacitance of a two-dimensional electron system (2DES) is investigated experimentally, both under and away from Quantum Hall (QH) conditions, at frequencies between 1 kHz and 100 MHz. The nature of the capacitive signal in a…

The nonlinear behavior of the Hall resistivity at low magnetic fields in single quantum well GaAs/In$_x$Ga$_{1-x}$As/GaAs heterostructures with degenerated electron gas is studied. It has been found that this anomaly is accompanied by the…

Disordered Systems and Neural Networks · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , B. N. Zvonkov

We prove the quantization of the Hall conductivity for general weakly interacting gapped fermionic systems on two-dimensional periodic lattices. The proof is based on fermionic cluster expansion techniques combined with lattice Ward…

Mathematical Physics · Physics 2016-08-24 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

We derive a Kubo-like formula for the thermal Hall conductance of a 2d lattice systems which is free from ambiguities associated with the definition of energy magnetization. We use it to define a relative topological invariant of gapped 2d…

Strongly Correlated Electrons · Physics 2020-02-05 Anton Kapustin , Lev Spodyneiko

We present measurements of transport through two tunnel-coupled quantum dots of different sizes connected in series in a strong, variable, perpendicular magnetic field. Double dot conductance was measured both as a function of magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Livermore , D. S. Duncan , R. M. Westervelt , K. D. Maranowski , A. C. Gossard
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