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We have performed a systematic calculation for the non-Markovian dynamics of a localized electron spin interacting with an environment of nuclear spins via the Fermi contact hyperfine interaction. This work applies to an electron in the s…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , Daniel Loss

We demonstrate here that the dipole-allowed optical absorption spectrum of a parabolic quantum dot subjected to an external magnetic field reflects the inter-electron interaction effects when the spin-orbit interaction is also taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tapash Chakraborty , Pekka Pietiläinen

It was realized two decades ago that the two-dimensional diffusive Fermi liquid phase is unstable against arbitrarily weak electron-electron interactions. Recently, using the nonlinear sigma model developed by Finkelstein, several authors…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xiao Yang , Chetan Nayak

We consider a clean two-dimensional interacting electron gas subject to a random perpendicular magnetic field, h({\bf r}). The field is nonquantizing, in the sense, that {\cal N}_h-a typical flux into the area \lambda_{\text{\tiny F}}^2 in…

Mesoscale and Nanoscale Physics · Physics 2008-03-30 T. A. Sedrakyan , M. E. Raikh

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

The paper reports on a study of electron-phonon interaction within a limited nanosized region. We invoked the modified Fr\"{o}hlich's Hamiltonian to calculate the electron self-energy, as well as the elastic and inelastic scattering cross…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 K. V. Reich

A 2D square, two-bands, strongly correlated and non-integrable system is analysed exactly in the presence of many-body spin-orbit interactions via the method of Positive Semidefinite Operators. The deduced exact ground states in the high…

Strongly Correlated Electrons · Physics 2020-02-13 Nóra Kucska , Zsolt Gulácsi

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Paramagnetism or diamagnetism of a material are shown by parallel or antiparallel directions, respectively, of the induced magnetization under the influence of external magnetic field. Theoretical study of paramagnetic susceptibility and…

Strongly Correlated Electrons · Physics 2023-11-15 Adam B. Cahaya

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

We consider the correction to conductivity of a 2D electron gas due to electron-electron interaction in the parallel magnetic field at arbitrary relation between temperature and the elastic mean free time. The correction exhibits…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gabor Zala , B. N. Narozhny , I. L. Aleiner

We evaluate the effective interactions in a fluid of electrons moving in a plane, on the approach to the quantum phase transition from the paramagnetic to the fully spin-polarized phase that has been reported from Quantum Monte Carlo runs.…

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

Motivated by recent suggestions --to split the electron-electron interaction into a short-range part, to be treated within the density functional theory, and a long-range part, to be handled by other techniques-- we compute, with a…

Materials Science · Physics 2009-11-10 Lorenzo Zecca , Paola Gori-Giorgi , Saverio Moroni , Giovanni B. Bachelet

We theoretically study the effect of electron-electron interactions in one-dimensional partially mixed helical states. These helical states can be realized at the edges of two-dimensional topological insulators with partially broken…

Strongly Correlated Electrons · Physics 2025-01-03 Zeinab Bakhshipour , Mir Vahid Hosseini

We estimate the spin relaxation rate due to spin-orbit coupling and acoustic phonon scattering in weakly-confined quantum dots with up to five interacting electrons. The Full Configuration Interaction approach is used to account for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Juan I. Climente , Andrea Bertoni , Guido Goldoni , Massimo Rontani , Elisa Molinari

The charge and spin response of a spin--polarized electron gas is investigated including terms beyond the random phase approximation. We evaluate the charge response, the longitudinal and transverse spin response, and the mixed spin--charge…

Condensed Matter · Physics 2009-10-28 Kyung-Soo Yi , J. J. Quinn

Conducting steady-states of doped bilayer graphene have a non-zero sublattice pseudospin polarization. Electron-electron interactions renormalize this polarization even at zero temperature, when the phase space for electron-electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wei-Zhe Liu , Allan H. MacDonald , Dimitrie Culcer

We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

We investigate a one--dimensional wire of interacting electrons connected to one--dimensional noninteracting leads in the absence and in the presence of a backscattering potential. The ballistic wire separates the charge and spin parts of…

Strongly Correlated Electrons · Physics 2009-10-31 Inès Safi , H. J. Schulz

We report measurements of the spin susceptibility in dilute (rs up to 10) AlAs two-dimensional (2D) electrons occupying a single conduction-band valley with an anisotropic in-plane Fermi contour, characterized by longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Gokmen , Medini Padmanabhan , E. Tutuc , M. Shayegan , S. De Palo , S. Moroni , Gaetano Senatore