Rashba scattering in the low-energy limit

Hutchinson, Joel; Maciejko, Joseph

doi:10.1103/physrevb.93.245309

Cited by 5 publications

(16 citation statements)

References 29 publications

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“…In particular, this is the relevant regime for a dilute spin-orbit coupled 2D electron gas, which has been shown to host a variety of exotic phases in the presence of electron-electron interactions [10][11][12][13]. We showed in earlier work [14] that in this limit, single-particle scattering from a hard disk potential (i.e., an infinite circular barrier) exhibits a variety of unusual behaviors. The S-matrix, which is a 2 × 2 matrix as there are two samehelicity degenerate scattering channels below the Dirac point, was found in the low-energy limit to be purely offdiagonal with off-diagonal elements equal to −1 [15] for every partial wave l = 0, ±1, ±2, .…”

Section: Introductionmentioning

confidence: 92%

“…In Ref. [14], the form of the S-matrix for lower-helicity scattering off of a finite range, circularly symmetric potential was obtained. Using a slightly modified notation, we summarize these results by writing the asymptotic wavefunction outside such a potential as…”

Section: A Relation Between T and S Matricesmentioning

confidence: 99%

“…The common spinor factor η sµ (θ) is formally equivalent to the definition (3) due to the fact that the group velocity is oppositely directed for the < state (see Ref. [14] for details). The factor of 2m i/k µ in front of the sum is chosen to make f µν consistent with the conventional scattering amplitude in two dimensions [17].…”

Section: A Relation Between T and S Matricesmentioning

confidence: 99%

“…This last expression was denoted |φ µν | 2 in Ref. [14]. Integrating over angles and summing over scattering channels gives the total cross section for an incident k µ wave,…”

Section: B Cross Section and Optical Theoremmentioning

confidence: 99%

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Universality of low-energy Rashba scattering

Hutchinson

Maciejko

2017

Phys. Rev. B

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We investigate the scattering of a quantum particle with a two-dimensional (2D) Rashba spin-orbit coupled dispersion off of circularly symmetric potentials. As the energy of the particle approaches the bottom of the lowest spin-split band, i.e., the van Hove singularity, earlier work has shown that scattering off of an infinite circular barrier exhibits a number of features unusual from the point of view of conventional 2D scattering theory: the low-energy S-matrix is independent of the range of the potential, all partial waves contribute equally, the differential cross section becomes increasingly anisotropic and 1D-like, and the total cross section exhibits quantized plateaus. Via a nonperturbative determination of the T-matrix and an optical theorem which we prove here, we show that this behavior is universal for Rashba scattering off of any circularly symmetric, spin independent, finite-range potential. This is relevant both for impurity scattering in the noninteracting limit as well as for short-range two-particle scattering in the interacting problem.Comment: Editors' Suggestion. 13 pages, 6 figure

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Section: Introductionmentioning

confidence: 92%

Section: A Relation Between T and S Matricesmentioning

confidence: 99%

Section: A Relation Between T and S Matricesmentioning

confidence: 99%

“…This last expression was denoted |φ µν | 2 in Ref. [14]. Integrating over angles and summing over scattering channels gives the total cross section for an incident k µ wave,…”

Section: B Cross Section and Optical Theoremmentioning

confidence: 99%

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Universality of low-energy Rashba scattering

Hutchinson

Maciejko

2017

Phys. Rev. B

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“…13 The FO near an individual point defect in 2D electron gas with Rashba SOI 18,19 were experimentally observed in Refs. [14][15][16][17], and in this case a rather large number of theoretical works [20][21][22][23][24][25][26][27] were devoted to the analysis of the oscillatory dependence of the LDS. The LDM was theoretically studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Friedel oscillations in 2D electron gas from spin-orbit interaction in a parallel magnetic field

Kozlov

Kolesnichenko

2018

Low Temperature Physics

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Effects associated with the interference of electron waves around a magnetic point defect in two-dimensional electron gas with combined Rashba-Dresselhaus spin-orbit interaction in the presence of a parallel magnetic field are theoretically investigated. The effect of a magnetic field on the anisotropic spatial distribution of the local density of states and the local density of magnetization is analyzed. The existence of oscillations of the density of magnetization with scattering by a non-magnetic defect and the contribution of magnetic scattering (accompanied by spin-flip) in the local density of electron states are predicted. Statement of the problem The HamiltonianUsing the calibration A = (0, 0, B x y -B y x), we write the Hamiltonian of the 2D electron gas with R-D SOI in a parallel magnetic field B = (B x , B y ,0) in the absence of defects, as a linear approximation on the wave vector operatork ¼ Àir r (see, for example, Refs. 34 and 35):

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Anisotropic Friedel oscillations in a two-dimensional electron gas with a Rashba–Dresselhaus spin–orbit interaction

Kozlov

Kolesnichenko

2017

Low Temperature Physics

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We present a theoretical study of the spatial distribution of the local density of states (LDOS) and the local magnetization density (LMD) in the vicinity of a magnetic point-defect in a degenerate two-dimensional electron gas with a mixed Rashba-Dresselhaus spin-orbit coupling interaction (SOI). The dependence of the Friedel oscillations, which arise under these conditions, on the ratio of the SOI constants is investigated. We obtain asymptotic expressions for the oscillatory parts of the LDOS and the LMD, that are accurate for large distances from the defect. It is shown, that the Friedel oscillations are significantly anisotropic and contain several harmonics for certain ratios of the SOI constants. Period of the oscillations for directions along the symmetry axes of the Fermi contours are determined. Finally, we introduce a method for determining the values of the two SOI constants by measuring the period of the Friedel oscillations of the LDOS and the LMD for different harmonics.

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Rashba scattering in the low-energy limit

Cited by 5 publications

References 29 publications

Universality of low-energy Rashba scattering

Universality of low-energy Rashba scattering

Friedel oscillations in 2D electron gas from spin-orbit interaction in a parallel magnetic field

Anisotropic Friedel oscillations in a two-dimensional electron gas with a Rashba–Dresselhaus spin–orbit interaction

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