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We show that the spin-orbit interaction (SOI) arising due to the in-plane electric field of the Coulomb repulsion between electrons in a two-dimensional quantum well produces an attractive component in the pair interaction Hamiltonian that…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vladimir A. Sablikov

In developing our previous contribution (arXiv:1804.00889) we have numerically found the bound state energy and correspondent wave function of the two electrons confined to move in a quantum well placed close to the gate electrode.…

Mesoscale and Nanoscale Physics · Physics 2019-03-28 M. M. Mahmoodian , A. V. Chaplik

The pair spin-orbit interaction (PSOI) is the spin-orbit component of the electron-electron interaction that originates from the Coulomb fields of the electrons. This relativistic component, which has been commonly assumed small in the…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vladimir A. Sablikov

We study the spin-orbit interaction effects in a one-dimensional electron system that result from the image charges in a nearby metallic gate. The nontrivial property of the image-potential-induced spin-orbit interaction (iSOI) is that it…

Strongly Correlated Electrons · Physics 2017-11-27 Yasha Gindikin , Vladimir A. Sablikov

In low-dimensional structures with strong Rashba spin-orbit interaction (SOI), the Coulomb fields between moving electrons produce a SOI component of the pair interaction that competes with the potential Coulomb repulsion. If the Rashba SOI…

Strongly Correlated Electrons · Physics 2018-12-31 Yasha Gindikin , Vladimir A. Sablikov

We explore the bound electron pairs (BEPs) arising due to the pair spin-orbit interaction (PSOI) in two-dimensional structures with a gate that can allow the BEPs to be manipulated. The gate breaks the in-plane reflection symmetry of the…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vitalina Vigdorchik , Vladimir A. Sablikov

It is shown that two electrons located in a quantum well near a metal electrode attract each other due to the spin-orbit interaction (SOI) of the Bychkov-Rashba type and the electrostatic image forces. Using the example of a simple model,…

Mesoscale and Nanoscale Physics · Physics 2018-07-16 M. M. Mahmoodian , A. V. Chaplik

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

We study the spin edge states, induced by the combined effect of spin-orbit interaction (SOI) and hard-wall confining potential, in a two-dimensional electron system, exposed to a perpendicular magnetic field. We find an exact solution of…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 V. L. Grigoryan , A. Matos Abiague , S. M. Badalyan

We show that the pair spin-orbit interaction (PSOI) created by the Coulomb fields of interacting electrons leads to the appearance of an unconventional correlated electronic state in two-dimensional materials with the large Rashba effect.…

Strongly Correlated Electrons · Physics 2023-02-06 Yasha Gindikin , Vladimir A. Sablikov

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

We consider a gated one-dimensional (1D) quantum wire disturbed in a contactless manner by an alternating electric field produced by a tip of a scanning probe microscope. In this schematic 1D electrons are driven not by a pulling electric…

Strongly Correlated Electrons · Physics 2017-11-27 Yasha Gindikin

Spin-orbit qubit (SOQ) is the dressed spin by the orbital degree of freedom through a strong spin-orbit coupling. We show that Coulomb interaction between two electrons in quantum dots located separately in two nanowires can efficiently…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Y. N. Fang , Yusuf Turek , J. Q. You , C. P. Sun

We discuss pairing of light-matter bosons under effective spin-orbit (SO) coupling in two-dimensional semiconductors. The SO coupling is shown to induce dynamical broadening of a two-body bound state. Application of a transverse magnetic…

Quantum Gases · Physics 2022-11-02 Sergueï V. Andreev

We study the two-body problem for two-dimensional electron systems in a symmetrized Bernevig-Hughes-Zhang model which is widely used to describe topological and conventional insulators. The main result is that two interacting electrons can…

Mesoscale and Nanoscale Physics · Physics 2023-05-02 Vladimir A. Sablikov

Based on the quantum two-body problem introduced in [arXiv:1604.06693] we consider bound pairs of electrons moving on the positive half-line. The analysis is motivated by the ground-breaking work of Cooper who identified the pairing of…

Mathematical Physics · Physics 2019-03-13 Joachim Kerner

We find a specific mechanism of background spin currents in two-dimensional electron systems with spatially nonuniform spin-orbit interaction (SOI) at thermodynamic equilibrium, in particular, in the systems consisting of regions with and…

Mesoscale and Nanoscale Physics · Physics 2008-10-04 Vladimir A. Sablikov , Aleksei A. Sukhanov , Yurii Ya. Tkach

Transport and thermodynamic properties of disordered conductors are considerably modified when the angle through which the electron spin precesses due to spin-orbit interaction (SOI) during the mean free time becomes significant. Cooperon…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli Lyanda-Geller

We investigate a possibility of pair electron-electron e-e collisions in a ballistic wire with spin-orbit coupling and only one populated mode. Unlike in a spin-degenerate system, a combination of spin-splitting in momentum space with a…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 V. S. Khrapai , K. E. Nagaev

We show that the bound electron pairs (BEPs) emerge in two-dimensional gated Rashba materials owing to the interplay of the pair spin-orbit interaction, produced by the Coulomb fields of interacting electrons, and the peculiarities of the…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Yasha Gindikin , Igor Rozhansky , Vladimir A. Sablikov
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