Energy dispersion and electron g-factor of quantum wire in external electric and magnetic fields with Rashba spin orbit interaction

Kumar, Manoj; Lahon, Siddhartha; Jha, Pradip K.; Mohan, Man

doi:10.1016/j.spmi.2013.01.007

Cited by 27 publications

(10 citation statements)

References 32 publications

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“…The SGM technique was used first to investigate the electron transport in quantum point contacts (QPCs) [5]. The SGM conductance maps recorded as a function of the tip position in the vicinity of a QPC contain two characteristic features (i) interference fringes with oscillation period equal to half the Fermi wavelength λ F [6][7][8][9][10][11] and (ii) semiclassical branched flow of electron trajectories [9,[12][13][14]. The fringes (i) arise from the coherent interference between the electron waves incident from the QPC and backscattered by the SGM tip [9,15].…”

Section: Introductionmentioning

confidence: 99%

Interference features in scanning gate conductance maps of quantum point contacts with disorder

et al. 2016

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We consider quantum point contact (QPC) defined within a disordered two-dimensional electron gas as studied by scanning gate microscopy. We evaluate the conductance maps in the Landauer approach with a wave-function picture of electron transport for samples with both low and high electron mobility at finite temperatures. We discuss the spatial distribution of the impurities in the context of the branched electron flow. We reproduce the surprising temperature stability of the experimental interference fringes far from the QPC. Next, we discuss funnel-shaped features that accompany splitting of the branches visible in previous experiments. Finally, we study elliptical interference fringes formed by an interplay of scattering by the pointlike impurities and by the scanning probe. We discuss the details of the elliptical features as functions of the tip voltage and the temperature, showing that the first interference fringe is very robust against the thermal widening of the Fermi level. We present a simple analytical model that allows for extraction of the impurity positions and the electron-gas depletion radius induced by the negatively charged tip of the atomic force microscope, and apply this model on experimental scanning gate images showing such elliptical fringes.

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Section: Introductionmentioning

confidence: 99%

Interference features in scanning gate conductance maps of quantum point contacts with disorder

et al. 2016

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“…The total number of donors was N d = 150 in our calculations and the total electron density was calculated as n e (x, y) = n ↑ (x, y) + n ↓ (x, y). In the first step of DFT iterative scheme we assumed that n e = n ↑ = n ↓ = 0, then we performed the numerical diagonalization of Hamiltonian (31,32) with the FEAST eigenvalue solver [57], calculating the first lowest M e = 500 eigen-energies ε σ i and corresponding KS spin-orbitals χ σ i ≡ χ σ i (u, v). From that we have calculated the electron densities…”

Section: B Description Of the Many Electron Problemmentioning

confidence: 99%

Transconductance and effective Landé factors for quantum point contacts: Spin-orbit coupling and interaction effects

2016

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We analyze the effective g * factors and their dependence on the orientation of the external magnetic field for a quantum point contact defined in the two-dimensional electron gas. The paper simulates the experimental procedure for evaluation of the effective Landé factors from the transconductance of a biased device in external magnetic field. The contributions of the orbital effects of the magnetic field, the electron-electron interaction and spin-orbit (SO) coupling are studied. The anisotropy of the g * factors for the in-plane magnetic field orientation, which seems counterintuitive from the perspective of the effective SO magnetic field, is explained in an analytical model of the constriction as due to the SO-induced subband mixing. The asymmetry of the transconductance as a function of the gate voltage is obtained in agreement with the experimental data and the results are explained as due to the depletion of the electron gas within the quantum point contact constriction and the related reduction of the screening as described within the DFT approach. The results for transconductance and the g * factors are in a good agreement with the experimental data [Phys. Rev. B 81, 041303, 2010]. arXiv:1508.04287v1 [cond-mat.mes-hall]

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“…Several theoretical and experimental works investigated the effects of external fields and spin-orbit coupling on the electronic and transport properties in low-dimensional systems [31][32][33][34][35][36][37][38][39][40][41][42]. Mireles and Kirczenow [43] researched the ballistic spin-transport properties of quasi-one-dimensional wires in the presence of the Rashba spin-orbit interaction, Governale and Zülicke [44] presented the effect of Rashba spin-orbit coupling on the band structure, spin accumulation and transport properties of quantum wires.…”

Section: Introductionmentioning

confidence: 99%

Spin–orbit interaction and magnetic field effects on the energy dispersion of double quantum wire

Karaaslan

Gisi

Şakiroğlu

et al. 2015

Superlattices and Microstructures

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Energy dispersion and electron g-factor of quantum wire in external electric and magnetic fields with Rashba spin orbit interaction

Cited by 27 publications

References 32 publications

Interference features in scanning gate conductance maps of quantum point contacts with disorder

Interference features in scanning gate conductance maps of quantum point contacts with disorder

Transconductance and effective Landé factors for quantum point contacts: Spin-orbit coupling and interaction effects

Spin–orbit interaction and magnetic field effects on the energy dispersion of double quantum wire

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