The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling

Malecki, Justin

doi:10.1007/s10955-007-9414-x

Cited by 42 publications

(66 citation statements)

References 28 publications

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“…In the absence of SO coupling, it is natural to adopt a basis of states having a definite z component of the orbital angular momentum about the impurity site. The transformation [14,28] …”

Section: B Mapping To a Two-channel Anderson Modelmentioning

confidence: 99%

“…(14) in an inequivalent manner; in particular, they have different Fermi wave vectors. It is also important to bear in mind that the index τ = ±1/2 (or ↑, ↓) labels the z component of the total angular momentum, although this reduces to the z component of spin for the impurity operators d τ .…”

Section: B Mapping To a Two-channel Anderson Modelmentioning

confidence: 99%

“…Equation (11) shows that the operatorsc k,h,τ entering Eq. (14) contain m = 0 and m = ±1 components of equal magnitude with a relative phase that is opposite for h = + and h = −. For ǫ R = 0, the two helicity channels participate equally in Kondo screening in a manner that produces complete destructive interference of correlations contributing to S d · J m =0 .…”

Section: Static Angular-momentum Correlationsmentioning

confidence: 99%

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Influence of Rashba spin-orbit coupling on the Kondo effect

et al. 2016

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An Anderson model for a magnetic impurity in a two-dimensional electron gas with bulk Rashba spin-orbit interaction is solved using the numerical renormalization group under two different experimental scenarios. For a fixed Fermi energy, the Kondo temperature TK varies weakly with Rashba coupling α, as reported previously. If instead the band filling is low and held constant, increasing α can drive the system into a helical regime with exponential enhancement of TK . Under either scenario, thermodynamic properties at low temperatures T exhibit the same dependences on T /TK as are found for α = 0. Unlike the conventional Kondo effect, however, the impurity exhibits static spin correlations with conduction electrons of nonzero orbital angular momentum about the impurity site. We also consider a magnetic field that Zeeman splits the conduction band but not the impurity level, an effective picture that arises under a proposed route to access the helical regime in a driven system. The impurity contribution to the system's ground-state angular momentum is found to be a universal function of the ratio of the Zeeman energy to a temperature scale that is not TK (as would be the case in a magnetic field that couples directly to the impurity spin), but rather is proportional to TK divided by the impurity hybridization width. This universal scaling is explained via a perturbative treatment of field-induced changes in the electronic density of states.

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“…In the absence of SO coupling, it is natural to adopt a basis of states having a definite z component of the orbital angular momentum about the impurity site. The transformation [14,28] …”

Section: B Mapping To a Two-channel Anderson Modelmentioning

confidence: 99%

Section: B Mapping To a Two-channel Anderson Modelmentioning

confidence: 99%

Section: Static Angular-momentum Correlationsmentioning

confidence: 99%

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Influence of Rashba spin-orbit coupling on the Kondo effect

et al. 2016

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“…This direct reasoning is supported by basic arguments 3 stating that, due to time-reversal symmetry, spin-orbit scattering does not suppress the Kondo effect even though it breaks spin-rotation invariance. Subsequent investigations 4,5 confirmed this conclusion. At finite external magnetic field, time-reversal invariance is broken, and additional mechanisms affecting Kondo cotunneling arise together with the conventional Zeeman splitting of the impurity levels, as was demonstrated in Ref.…”

Section: Introductionmentioning

confidence: 66%

Interplay between Kondo tunneling and Rashba precession

Kikoin

Avishai

2012

Phys. Rev. B

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The influence of Thomas-Rashba precession on the physics of Kondo cotunneling through quantum dots is analyzed. It is shown that this precession is relevant only at finite magnetic fields. Thomas-Rashba precession results in peculiar anisotropy of the effective g factor and initiates dephasing of the Kondo cotunneling amplitude at low temperature, which is strongly dependent on the magnetic field.

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“…[16][17][18][19][20] As a different context, several theoretical studies have recently investigated the Kondo effect for a single impurity in two-dimensional electron gas with the Rashba spin-orbit (SO) coupling. [21][22][23][24][25][26] The Rashba coupling is one of the antisymmetric spin-orbit (ASO) interactions and has attracted much attention from numerous researchers of bulk systems, such as the spintronics in semiconductors, 27,28) topological insulators, 29,30) and non-centrosymmetric superconductors. 31) For the Rashba Kondo system, it has been found that the lowtemperature physics meets the Fermi liquid picture as described by the conventional Kondo model, although the Kondo temperature can be considerably increased in certain situations for a relatively strong coupling of the Rashba SO interaction.…”

Section: Introductionmentioning

confidence: 99%

Antisymmetric Spin–Orbit Coupling Effect on Kondo-Induced Electric Polarization in a Triangular Triple Quantum Dot

2017

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We study the local antisymmetric spin-orbit (ASO) coupling effect on spin, orbital, and charge degrees of freedom for the Kondo effect in a triangular triple quantum dot (TTQD). Here, one of the three QDs is coupled to a metallic lead through electron tunneling, and a local electric polarization is induced by the Kondo effect. The ASO interaction is introduced in the other two coupled QDs on the opposite side of the lead. Generally, the ASO coupling effect is very weak and not easily detectable, but it essentially causes spin and charge reconfigurations in the TTQD through the Kondo effect. Using an extended Anderson model for the TTQD Kondo system, we elucidate that the ASO coupling gives rise to a considerable reduction of the emergent electric polarization, as a consequence of the parity mixing of molecular orbitals in the triangular loop as well as the spin-up and spin-down coupling of local electrons. The latter leads to a local diamagnetic susceptibility owing to the ASO coupled spins. We also show that the Kondo-induced electric polarization can be controlled by the ASO coupling as well as by the magnetic flux penetrating through the TTQD.

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The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling

Cited by 42 publications

References 28 publications

Influence of Rashba spin-orbit coupling on the Kondo effect

Influence of Rashba spin-orbit coupling on the Kondo effect

Interplay between Kondo tunneling and Rashba precession

Antisymmetric Spin–Orbit Coupling Effect on Kondo-Induced Electric Polarization in a Triangular Triple Quantum Dot

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