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We have identified two useful exact properties of the perturbative expansion for the case of a two-dimensional electron liquid with Rashba or Dresselhaus spin-orbit interaction and in the absence of magnetic field. The results allow us to…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Gabriele F. Giuliani

Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a…

Nuclear Theory · Physics 2021-06-30 Johannes Kirscher , Brian C. Tiburzi

We present a variational study of both unpaired and spin-singlet paired states induced in a two-dimensional electron gas at low density by a perpendicular magnetic field. It is based on an improved circular-cell approximation which leads to…

Strongly Correlated Electrons · Physics 2009-11-07 M. Polini , K. Moulopoulos , B. Davoudi , M. P. Tosi

Spin-orbit interaction is usefully classified as extrinsic or intrinsic depending on its origin: the potential due to random impurities (extrinsic), or the crystalline potential associated with the band or device structure (intrinsic). In…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 R. Raimondi , P. Schwab , C. Gorini , G. Vignale

A generalized semiclassical quantization condition for cyclotron orbits was recently proposed by Gao and Niu \cite{Gao}, that goes beyond the Onsager relation \cite{Onsager}. In addition to the integrated density of states, it formally…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 J. N. Fuchs , F. Piéchon , G. Montambaux

States of strongly interacting particles are of fundamental interest in physics, and can produce exotic emergent phenomena and topological structures. We consider here two-dimensional electrons in a magnetic field, and, departing from the…

Strongly Correlated Electrons · Physics 2022-03-16 Abhishek Anand , Jainendra K Jain , G J Sreejith

In a series of recent papers one of us has analyzed in some details a class of elementary excitations called {\em pseudo-bosons}. They arise from a special deformation of the canonical commutation relation $[a,a^\dagger]=\1$, which is…

Mathematical Physics · Physics 2010-10-21 Syed Twareque Ali , Fabio Bagarello , Jean-Pierre Gazeau

We propose a nonequilibrium Green's function approach to study the spin-Hall effect in a two-dimensional electron system with both the Rashba and Dresselhaus spin-orbit couplings. By taking into account the long-range electron-impurity…

Materials Science · Physics 2007-05-23 S. Y. Liu , X. L. Lei

In this work we theoretically investigate transverse magnetic focussing in two dimensional electron and hole gasses with strong spin orbit interactions. We present a general result for spin orbit interaction with singular winding numbers in…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Samuel Bladwell , Oleg Sushkov

The aim of this work is to describe the spin magnetization of graphene with Rashba spinorbit coupling and Zeeman effect. It is shown that the magnetization depends critically on the spin-orbit coupling l that is controlled with an external…

Strongly Correlated Electrons · Physics 2017-08-28 Federico Escudero , Lucas Sourrouille , Juan Sebastián Ardenghi , Paula Jasen

We study the spin dynamics of two dimensional electron gases (2DEGs) with Rashba spin-orbit coupling by taking account of electron-electron interactions. The diffusion equations for charge and spin densities are derived by making use of the…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Yuan Li , You-Quan Li

We study the coupled dynamics of spin and charge currents in a two-dimensional electron gas in the transport diffusive regime. For systems with inversion symmetry there are established relations between the spin Hall effect, the anomalous…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 P. Schwab , R. Raimondi , C. Gorini

Recently a new propagating mode of coupled charge and spin oscillations was predicted in a two dimensional electron gas with a sufficiently strong Rashba interaction. We show that Coulomb interactions qualitatively modifies the spectrum and…

Materials Science · Physics 2007-05-23 Ya. B. Bazaliy , B. V. Bazaliy , G. Guntherodt , S. S. P. Parkin

We theoretically consider spin pumping in a junction between a ferromagnetic insulator (FI) and a two-dimensional electron gas (2DEG) in which the Rashba and Dresselhaus spin-orbit interactions coexist. Using second-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 M. Yama , M. Tatsuno , T. Kato , M. Matsuo

We present a theoretical study of the energy levels in a parabolically confined quantum dot in the presence of the Rashba spin-orbit interaction (SOI). The features of some low-lying states in various strengths of the SOI are examined at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. H. Kuan , C. S. Tang , W. Xu

We study how the Rashba spin-orbit interaction influences unconventional superconductivity in a two dimensional electron gas partially spin-polarized by a magnetic field. Somewhat surprisingly, we find that for all field orientations, only…

Superconductivity · Physics 2016-07-01 Ethan Lake , Caleb Webb , D. A. Pesin , O. A. Starykh

The effect of spin-orbit (and Darwin) interaction on a 2D electron gas subject to a radial symmetric, inhomogeneous $1/r$-magnetic field is discussed analytically in a perturbative and non-perturbative manner. For this purpose, we…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Dominik Sidler , Michael Ruggenthaler , Angel Rubio

Boundary dependent corrections to the spin energy eigenvalues of an electron in a weak magnetic field and confined by a harmonic trapping potential are investigated. The electromagnetic field is quantized through a normal mode expansion…

Quantum Physics · Physics 2014-04-17 Robert Bennett , Claudia Eberlein

The two-dimensional interacting electron gas at Landau level filling factor $\nu =1$ and temperature $T=0$ is a strong ferromagnet; all spins are completely aligned by arbitrarily weak Zeeman coupling. We report on a theoretical study of…

Condensed Matter · Physics 2009-10-28 Marcus Kasner , A. H. MacDonald

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz
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