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The quantum correction to electrical conductivity is studied on the basis of two-dimensional Wolff Hamiltonian, which is an effective model for a spin-orbit coupled (SOC) lattice system. It is shown that weak anti-localization (WAL) arises…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Hiroshi Hayasaka , Yuki Fuseya

The nonlinear transport regime is manifested in the nonlinear current-voltage characteristic of the system. An example of such a nonlinear regime is a setup in which current is injected into the sample and the measured voltage drop is…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 Dmitry V. Chichinadze

We look at the magnetic field induced weak localisation peak of graphene samples with different mobilities. At very low temperatures, low mobility samples exhibit a very broad peak as a function of the magnetic field, in contrast to higher…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Michael Hilke , Mathieu Massicotte , Eric Whiteway , Victor Yu

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

In the presence of the charged impurities, we study the weak localization (WL) effect by evaluating the quantum interference correction (QIC) to the conductivity of Dirac fermions in graphene. With the inelastic scattering rate due to…

Strongly Correlated Electrons · Physics 2008-12-22 Xin-Zhong Yan , C. S. Ting

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively,…

Materials Science · Physics 2016-11-29 Xiao Li , Bitan Roy , S. Das Sarma

The Schr\"{o}dinger-Poisson-Landau-Lifshitz-Gilbert (SPLLG) system can characterize the spin transfer torque mechanism transferring the spin angular momentum to the magnetization dynamics through spin-magnetization coupling. We study the…

Probability · Mathematics 2025-10-01 Yurong Wei , Huaqiao Wang

The dependence of the localization length on the number of occupied subbands $N$ in low-dimensional semiconductors is investigated. The localization length is shown to be proportional to the number of occupied subbands in…

Condensed Matter · Physics 2009-10-28 S. -R. Eric Yang , J. Rammer

Theory of weak localization is developed for two-dimensional holes in semiconductor heterostructures. Ballistic regime of weak localization where the backscattering occurs from few impurities is studied with account for anisotropic momentum…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 F. V. Porubaev , L. E. Golub

We analyze the weak localization correction to the conductivity of a spinless two-leg ladder model in the limit of strong dephasing \tau_\phi << \tau_tr, paying particular attention to the presence of a magnetic field, which leads to an…

Strongly Correlated Electrons · Physics 2013-05-30 Michael P. Schneider , Sam T. Carr , Igor V. Gornyi , Alexander D. Mirlin

At low temperatures, quantum corrections, originating from the interference of the many paths an electron may take between two points, tend to dominate the transport properties of two-dimensional conductors. These quantum corrections…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Frederico Sousa , David T. S. Perkins , Aires Ferreira

We describe the spin-dependent quantum conductance in a wire where a magnetic field is spatially modulated. The change in direction and intensity of the magnetic field acts as a perturbation that mixes spin projections. This is exemplified…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Lucas J. Fernández-Alcázar , Horacio M. Pastawski

Weak anti-localization offers an experimental tool to address spin--orbit coupling of two-dimensional oxide surfaces and interfaces via magneto-transport. To overcome the shortcomings of the formulation for single-band spin-1/2 electrons,…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Patrick Seiler , Elias Lettl , Daniel Braak , Thilo Kopp

Quantum interference of electrons in disordered conductors is a sensitive probe of the internal structure of quasiparticles, revealing universal signatures of symmetry through weak localization (WL) and weak antilocalization (WAL). While…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Arpan Gupta , Gargee Sharma

We have developed a theory of the negative magnetoresistance due to the weak localization in uniaxial wurtzite-type crystals, in which the spin splitting of the conduction band is linear in the wave vector, unlike the cubic ${\rm A_3 B_5}$…

Condensed Matter · Physics 2009-10-28 F. G. Pikus , G. E. Pikus

The magnetoresistance associated with quantum interference corrections in a high mobility, gated InGaAs/InP quantum well structure is studied as a function of temperature, gate voltage, and angle of the tilted magnetic field. Particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. A. Studenikin , P. T. Coleridge , N. Ahmed , P. Poole , A. Sachrajda

The effects of interplay between spin-orbit coupling and Zeeman splitting on weak localisation and universal conductance fluctuations in lateral semiconductor quantum dots are analysed: All possible symmetry classes of corresponding random…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , Vladimir I. Fal'ko

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

The localization behavior of the Anderson model with anisotropic hopping integral t for weakly coupled planes and weakly coupled chains is investigated both numerically with the transfer matrix method and analytically within the…

Condensed Matter · Physics 2009-10-30 Qiming Li , C. M. Soukoulis , I. Zambetaki , E. N. Economou

We have studied the phenomenon of weak localization in multi-quantum-well (MQW) structures in the regime of weak tunneling, when superlattice minibands are not formed. We have calculated the effect of weak localization on conductivity,…

Condensed Matter · Physics 2007-05-23 F. G. Pikus , G. E. Pikus