Stroboscopic model of transport through a quantum dot with spin-orbit scattering

We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of Random Matrix Theory including the parametric dependence on the magnetic field and spin-orbit coupling. The result is interpreted in terms of spin singlet and triplet Cooperon modes of conventional diagrammatic perturbation theory. As simple applications, we obtained the weak localization correction to the conductance, the shot noise power and the third cumulant of the distribution of the transmitted charge.

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“…6,7,8. The theoretical results are confirmed by numerical simulations 10 and they are in good agreement with the experiments 11,12 .…”

Section: Introductionsupporting

confidence: 81%

Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot

Béri

Cserti

2006

Phys. Rev. B

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“…Numerical simulations. We numerically confirm our findings using the quantum mechanical spin kicked rotator model [23]. It is represented by a 2M × 2M Floquet matrix [23][24][25] (See Supplemental Material [18])…”

Section: Var[tsupporting

confidence: 78%

Universal features of spin transport and breaking of unitary symmetries

Jacquod

Adagideli

2013

Phys. Rev. B

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When time-reversal symmetry is broken, quantum coherent systems with and without spin rotational symmetry exhibit the same universal behavior in their electric transport properties. We show that spin transport discriminates between these two cases. In systems with large charge conductance, spin transport is essentially insensitive to the breaking of time-reversal symmetry. However, in the opposite limit of a single exit channel, spin currents vanish identically in the presence of time-reversal symmetry, but are turned on by breaking it with an orbital magnetic field.

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“…A 1D spinful kicked rotator has been used to study the effects of spin-orbit coupling on quantum localization. [27][28][29][30][31][32] (Because in the kicked rotator the variable that localizes is momentum rather than position, one speaks of dynamical localization.) In these 1D studies there was only a topologically trivial phase, while, as we shall see, the present 2D model exhibits a topological phase transition.…”

Section: Relation To Quantum Kicked Rotatormentioning

confidence: 99%

Quantum Hall effect in a one-dimensional dynamical system

Dahlhaus

Edge²,

Tworzydło³

et al. 2011

Phys. Rev. B

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We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study the quantum Hall effect in a one-dimensional (1D) system. This reduction to 1D is very efficient computationally and would make it possible to perform experiments on the 2D quantum Hall effect using cold atoms in a 1D optical lattice.

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Stroboscopic model of transport through a quantum dot with spin-orbit scattering

Cited by 10 publications

References 23 publications

Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot

Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot

Universal features of spin transport and breaking of unitary symmetries

Quantum Hall effect in a one-dimensional dynamical system

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