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We present a self-consistent analytic theory of the intra-layer and inter-layer pair correlation functions in electron-electron and electron-hole fluid bilayer systems. Our approach involves the solution of a zero-energy scattering…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 S. H. Abedinpour , R. Asgari , M. Polini , M. P. Tosi

A method from random-matrix theory is used to calculate the pair correlation function of a one-dimensional gas of $N\gg 1$ classical particles with a power law repulsive interaction potential $u(x)\propto |x|^{-s}$ (a socalled Riesz gas).…

Statistical Mechanics · Physics 2023-02-28 C. W. J. Beenakker

We show an application of the functional-renormalization-group aided density functional theory to the homogeneous electron gas with arbitrary spin polarization, which gives the energy density functional in the local spin density…

Strongly Correlated Electrons · Physics 2022-01-12 Takeru Yokota , Tomoya Naito

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

We consider spin-spin correlation functions for spins along a row, $R_n = \langle \sigma_{0,0}\sigma_{n,0}\rangle$, in the two-dimensional Ising model. We discuss a method for calculating general-$n$ expressions for coefficients in…

Mathematical Physics · Physics 2022-10-27 Robert Shrock

The effective g-factor ($g^{*}$) of a dilute interacting two-dimensional electron system is expected to increase with respect to its bare value as the density is lowered, and to eventually diverge as the system makes a transition to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Tutuc , S. Melinte , M. Shayegan

We study spin dynamics in a two-dimensional electron gas with a pure gauge non-Abelian spin-orbit field, for which systems with balanced Rashba and Dresselhaus spin-orbit couplings, and the (110)-axis grown GaAs quantum wells are typical…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 I. V. Tokatly , E. Ya. Sherman

We propose a setup to generate non-local spin-EPR pairs via pair collisions in a 2D interacting electron gas, based on constructive two-particle interference in the spin singlet channel at the pi/2 scattering angle. We calculate the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Saraga , B. L. Altshuler , Daniel Loss , R. M. Westervelt

We develop a drift-diffusion equation that describes electron spin polarization density in two-dimensional electron systems. In our approach, superpositions of spin-up and spin-down states are taken into account, what distinguishes our…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy V. Pershin

We describe measurements of spin dynamics in the two-dimensional electron gas in GaAs/GaAlAs quantum wells. Optical techniques, including transient spin-grating spectroscopy, are used to probe the relaxation rates of spin polarization waves…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. P. Weber , J. Orenstein , B. Andrei Bernevig , Shou-Cheng Zhang , Jason Stephens , D. D. Awschalom

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 investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends…

Soft Condensed Matter · Physics 2020-06-18 Julian Jeggle , Joakim Stenhammar , Raphael Wittkowski

Direct electron spin resonance (ESR) on a high mobility two dimensional electron gas in a single AlAs quantum well reveals an electronic $g$-factor of 1.991 at 9.35 GHz and 1.989 at 34 GHz with a minimum linewidth of 7 Gauss. The ESR…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Schulte , J. G. S. Lok , G. Denninger , W. Dietsche

We present a variational Monte Carlo study of a model one dimensional electron gas on the continuum, with long-range interaction (1/r decay). At low density the reduced dimensionality brings about pseudonodes of the many-body wavefunction,…

Strongly Correlated Electrons · Physics 2007-05-23 Michele Casula , Gaetano Senatore

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie

We calculate the electrical and thermal conductivity of a two-dimensional electron gas with strong spin--orbit coupling in which the scattering is dominated by electron--electron collisions. Despite the apparent absence of Galilean…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 K. E. Nagaev , A. A. Manoshin

The exchange and correlation $E_{xc}$ of strongly correlated electrons in 2D layers of finite width are studied as a function of the density parameter $r_s$, spin-polarization $\zeta$ and the temperature $T$. We explicitly treat…

Strongly Correlated Electrons · Physics 2009-11-11 M. W. C. Dharma-wardana

The Generalized Slater-Jastrow trial functional is a modification of the Slater-Jastrow functional where, effectively, the argument of the Jastrow factor can be momentum dependent. The associated Euler equations, which provide an…

Strongly Correlated Electrons · Physics 2021-09-06 James C Porter

An approximation for the unknown two-electron wavefunctions (geminals) of the interacting uniform electron gas is found, starting from the effective screened Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)]. The…

Condensed Matter · Physics 2007-05-23 Paola Gori-Giorgi

Tunnelling density of states in the vicinity of Fermi level of a two-dimensional electron gas subjected to an external parallel and zeroth magnetic field is calculated. It reveals a pseudo-gap recently observed in the experiments. The gap…

Strongly Correlated Electrons · Physics 2015-06-24 V. Vyurkov , A. Vetrov , V. Ryzhii