Conductance behavior in nanowires with spin-orbit interaction: A numerical study

Rainis, Diego; Loss, Daniel

doi:10.1103/physrevb.90.235415

Cited by 57 publications

(76 citation statements)

References 44 publications

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“…It is shown that the Dresselhaus SOC causes a gap for the triplet eigenmodes and, hence, an insuppressible spin relaxation. This contradicts the conjecture of previous authors [32][33][34]37,74,75] that Dresselhaus SOC is absent in 111 nanowires and, hence, cannot cause spin relaxation. Nevertheless, we found the lowest gap for the 111 growth direction which indicates a lower spin relaxation than for 001 or 110 nanowires.…”

Section: Discussioncontrasting

confidence: 86%

Weak (anti)localization in tubular semiconductor nanowires with spin-orbit coupling

et al. 2016

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We compute analytically the weak (anti)localization correction to the Drude conductivity for electrons in tubular semiconductor systems of zinc-blende type. We include linear Rashba and Dresselhaus spin-orbit coupling (SOC) and compare wires of standard growth directions 100 , 111 , and 110 . The motion on the quasi-twodimensional surface is considered diffusive in both directions: transversal as well as along the cylinder axis. It is shown that Dresselhaus and Rashba SOC similarly affect the spin relaxation rates. For the 110 growth direction, the long-lived spin states are of helical nature. We detect a crossover from weak localization to weak antilocalization depending on spin-orbit coupling strength as well as dephasing and scattering rate. The theory is fitted to experimental data of an undoped 111 InAs nanowire device which exhibits a top-gate-controlled crossover from positive to negative magnetoconductivity. Thereby, we extract transport parameters where we quantify the distinct types of SOC individually.

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Section: Discussioncontrasting

confidence: 86%

Weak (anti)localization in tubular semiconductor nanowires with spin-orbit coupling

et al. 2016

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“…For higher values of the shift, the conductance is still suppressed in comparison to the quantized conductance 2G0 = 2e 2 /h. This suppression is caused by a mismatch of modes in the leads and in the wire, similarly to the one observed in Ref 44. for non-interacting systems.…”

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confidence: 72%

Conductance of fractional Luttinger liquids at finite temperatures

2018

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We study the electrical conductance in single-mode quantum wires with Rashba spin-orbit interaction subjected to externally applied magnetic fields in the regime in which the ratio of spin-orbit momentum to the Fermi momentum is close to an odd integer, so that a combined effect of multielectron interaction and applied magnetic field leads to a partial gap in the spectrum. We study how this partial gap manifests itself in the temperature dependence of the fractional conductance of the quantum wire. We use two complementing techniques based on bosonization: refermionization of the model at a particular value of the interaction parameter and a semiclassical approach within a dilute soliton gas approximation of the functional integral. We show how the low-temperature fractional conductance can be affected by the finite length of the wire, by the properties of the contacts, and by a shift of the chemical potential, which takes the system away from the resonance condition. We also predict an internal resistivity caused by a dissipative coupling between gapped and gapless modes. arXiv:1803.07359v1 [cond-mat.mes-hall]

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“…As discussed in Ref. [64], the visibility of this helical gap depends on various factors which, importantly, include the actual value of the SO energy. Indeed, as the ratio μ lead /E SO is made larger, the visibility of the gap in G N is rapidly degraded (see lower curves in Fig.…”

Section: Normal Conductancementioning

confidence: 96%

“…For simplicity in the discussion, we model the gate-induced electrostatic potential with an abrupt profile (the role of smooth gate potentials has been recently discussed in Ref. [64]). …”

Section: Normal Conductancementioning

confidence: 99%

SNS junctions in nanowires with spin-orbit coupling: Role of confinement and helicity on the subgap spectrum

et al. 2015

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We study normal transport and the subgap spectrum of superconductor-normal-superconductor (SNS) junctions made of semiconducting nanowires with strong Rashba spin-orbit coupling. We focus, in particular, on the role of confinement effects in long ballistic junctions. In the normal regime, scattering at the two contacts gives rise to two distinct features in conductance: Fabry-Perot resonances and Fano dips. The latter arise in the presence of a strong Zeeman field B that removes a spin sector in the leads (helical leads), but not in the central region. Conversely, a helical central region between nonhelical leads exhibits helical gaps of half-quantum conductance, with superimposed helical Fabry-Perot oscillations. These normal features translate into distinct subgap states when the leads become superconducting. In particular, Fabry-Perot resonances within the helical gap become parity-protected zero-energy states (parity crossings), well below the critical field B c at which the superconducting leads become topological. As a function of Zeeman field or Fermi energy, these zero modes oscillate around zero energy, forming characteristic loops, which evolve continuously into Majorana bound states as B exceeds B c . The relation with the physics of parity crossings of Yu-Shiba-Rusinov bound states is discussed.

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Conductance behavior in nanowires with spin-orbit interaction: A numerical study

Cited by 57 publications

References 44 publications

Weak (anti)localization in tubular semiconductor nanowires with spin-orbit coupling

Weak (anti)localization in tubular semiconductor nanowires with spin-orbit coupling

Conductance of fractional Luttinger liquids at finite temperatures

SNS junctions in nanowires with spin-orbit coupling: Role of confinement and helicity on the subgap spectrum

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