Spin-orbit coupling and resonances in the conductance of quantum wires

Khrapai, V. S.; Nagaev, K. É.

doi:10.1103/physrevb.98.121401

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…(125) allows for both twoparticle and three-particle inelastic e-e scattering processes. The impact of the latter on interaction-induced corrections to the quantized conductance was investigated in the recent papers [110,111] for short quantum wires.…”

Section: Spin-orbit Effects and Magnetoconductancementioning

confidence: 99%

Kinetic processes in Fermi-Luttinger liquids

Levchenko,

Micklitz

2021

Preprint

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In this work we discuss extensions of the pioneering analysis by Dzyaloshinski ǐ and Larkin [Sov. Phys. JETP 38, 202 (1974)] of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion. Throughout the work we employ both, the weakly interacting Fermi gas picture and nonlinear Luttinger liquid theory to describe attenuation of excitations and explore the fermion-boson duality between both approaches. Special attention is devoted to the role of spin-exchange processes, effects of interaction screening, and integrability. Thermalization rates for electron-and hole-like quasiparticles, as well as the decay rate of collective plasmon excitations and the momentum space mobility of spin excitations are calculated for various temperature regimes. The phenomenon of spin-charge drag is considered and the corresponding momentum transfer rate is determined. We further discuss how momentum relaxation due to several competing mechanisms, viz. triple electron collisions, electron-phonon scattering, and long-range inhomogeneities affect transport properties, and highlight energy transfer facilitated by plasmons from the perspective of the inhomogeneous Luttinger liquid model. Finally, we derive the full matrix of thermoelectric coefficients at the quantum critical point of the first conductance plateau transition, and address magnetoconductance in ballistic semiconductor nanowires with strong Rashba spin-orbit coupling.For the special issue of JETP devoted to the 90th birthday jubilee of Igor E. Dzyaloshinski ǐ.1) Throughout the paper we use units with Planck and Boltzmann constants set to unity = k B = 1.

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Section: Spin-orbit Effects and Magnetoconductancementioning

confidence: 99%

Kinetic processes in Fermi-Luttinger liquids

Levchenko,

Micklitz

2021

Preprint

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“…1, an unexpected result was observed, which was the appearance of the re-entrant characteristic in the absence of the external magnetic field. This feature was attributed to spin-flipping twoparticle backscattering 1,10 . Nonetheless, the dip at zero magnetic field also happens when there is scattering by impurities 11,12 .…”

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confidence: 98%

Multichannel scattering mechanism behind the reentrant conductance feature in nanowires subject to strong spin-orbit coupling

et al. 2020

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The characterization of helical states can be performed by checking the existence of the re-entrant behaviour, which appears as a dip in the conductance probed in nanowires (NWs) with strong spin-orbit coupling (SOC) and under perpendicular magnetic field. On the other hand, the experiment described in Ref. 1 observed the re-entrant behaviour in the absence of a magnetic field, which was explained through spin-flipping two-particle backscattering. We theoretically show that the observation of the re-entrant behaviour is due to a multi-channel scattering mechanism, which causes a reduction of the transmission when an effective attractive potential and coupling between different channels are present. Both ingredients are provided by the SOC in the transport properties of NWs.

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Width dependence of the 0.5 × (2e2/h) conductance plateau in InAs quantum point contacts in presence of lateral spin-orbit coupling

Das

Cahay

Kalita

et al. 2019

Sci Rep

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The evolution of the 0.5G o (G o = 2e 2 /h) conductance plateau and the accompanying hysteresis loop in a series of asymmetrically biased InAs based quantum point contacts (QPCs) in the presence of lateral spin-orbit coupling (LSOC) is studied using a number of QPCs with varying lithographic channel width but fixed channel length. It is found that the size of the hysteresis loops is larger for QPCs of smaller aspect ratio (QPC channel width/length) and gradually disappears as their aspect ratio increases. The physical mechanisms responsible for a decrease in size of the hysteresis loops for QPCs with increasing aspect ratio are: (1) multimode transport in QPCs with larger channel width leading to spin-flip scattering events due to both remote impurities in the doping layer of the heterostructure and surface roughness and impurity (dangling bond) scattering on the sidewalls of the narrow portion of the QPC, and (2) an increase in carrier density resulting in a screening of the electron-electron interactions in the QPC channel. Both effects lead to a progressive disappearance of the net spin polarization in the QPC channel and an accompanying reduction in the size of the hysteresis loops as the lithographic width of the QPC channel increases.

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Spin-orbit coupling and resonances in the conductance of quantum wires

Cited by 7 publications

References 33 publications

Kinetic processes in Fermi-Luttinger liquids

Kinetic processes in Fermi-Luttinger liquids

Multichannel scattering mechanism behind the reentrant conductance feature in nanowires subject to strong spin-orbit coupling

Width dependence of the 0.5 × (2e2/h) conductance plateau in InAs quantum point contacts in presence of lateral spin-orbit coupling

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