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We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Ullmo , H. U. Baranger , K. Richter , F. von Oppen , R. A. Jalabert

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis…

Disordered Systems and Neural Networks · Physics 2015-06-25 J. Talamantes , M. Pollak , I. Varga

We study the magnetic orbital response of a system of N interacting electrons confined in a two-dimensional geometry and subjected to a perpendicular magnetic field in the finite temperature Hartree-Fock approximation. The electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 L. G. G. V. Dias da Silva , Caio H. Lewenkopf , Nelson Studart

We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularizations associated with the lowest Landau level. For this model we…

Mathematical Physics · Physics 2016-09-07 Raymond Brummelhuis , Mary Beth Ruskai

Using a sensitive DC torque magnetometer we measure the orbital magnetization by sweeping the density at fixed magnetic fields on GaAs-AlGaAs heterostructures. At low temperatures strong nonequilibrium magnetization signals dominate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. R. Faulhaber , H. W. Jiang

In high-mobility two-dimensional electron gases Landau levels are already formed at very small magnetic field values. Such two-dimensional electron gases show a huge negative magnetoresistance at low temperatures and an unexpected and very…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 L. Bockhorn , J. Inarrea , R. J. Haug

We calculate the interaction kernel K for two-dimensional diffusive electrons. The screening of the Coulomb interaction together with the Fermi statistics induces a spin selection rule for electron-electron scattering so that in leading…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Philippe Jacquod

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

Electric response of spin polarization in two-dimensional electron gas with structural inversion asymmetry subjected to a magnetic field was studied by means of the linear and non-linear theory and numerical simulation with the disorder…

Mesoscale and Nanoscale Physics · Physics 2007-09-05 Yun-Juan Bao , Shun-Qing Shen

It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

We study a system of spinless electrons moving in a two dimensional noncommutative space subject to a perpendicular magnetic field $\vec B$ and confined by a harmonic potential type ${1\over 2}mw_{0}r^2$. We look for the orbital magnetism…

High Energy Physics - Theory · Physics 2008-11-26 Ahmed Jellal

We discuss an exactly solvable model Hamiltonian for describing the interacting electron gas in a quantum dot. Results for a spherical square well confining potential are presented. The ground state is found to exhibit striking oscillations…

Materials Science · Physics 2009-11-10 R. Saniz , B. Barbiellini , A. B. Denison , A. Bansil

We numerically investigate how electron-electron interactions influence the transport properties of disordered electrons in two dimensions. Our study is based on the quantum Coulomb glass model appropriately generalized to include the spin…

Strongly Correlated Electrons · Physics 2015-06-24 Thomas Vojta , Frank Epperlein , Svetlana Kilina , Michael Schreiber

A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can…

Disordered Systems and Neural Networks · Physics 2019-08-21 Akshay Krishna , Matteo Ippoliti , R. N. Bhatt

The spinless resonant level model is studied when it is coupled by hopping to one of the arbitrary number of conduction electron channels. The Coulomb interaction acts between the electron on the impurity and in the different channels. In…

Strongly Correlated Electrons · Physics 2007-05-23 Laszlo Borda , Karoly Vladar , Alfred Zawadowski

We measure the thermodynamic magnetization of a low-disordered, strongly correlated two-dimensional electron system in silicon in perpendicular magnetic fields. A new, parameter-free method is used to directly determine the spectrum…

Strongly Correlated Electrons · Physics 2007-05-23 S. Anissimova , A. Venkatesan , A. A. Shashkin , M. R. Sakr , S. V. Kravchenko , T. M. Klapwijk

We have explored Pauli paramagnetism, Landau diamagnetism and de Haas-van Alphen effect in a single framework, and unified these three effects for all temperatures as well as for all strengths of magnetic field. Our result goes beyond…

Statistical Mechanics · Physics 2013-05-10 Shyamal Biswas , Swati Sen , Debnarayan Jana

Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling factor range in the second Landau level where the states significantly differ from those in the lowest…

Mesoscale and Nanoscale Physics · Physics 2010-06-24 Csaba Toke , Michael R. Peterson , Gun Sang Jeon , Jainendra K. Jain

It is shown that the classical commensurability phenomena in weakly modulated two-dimensional electron systems is a manifestation of the intrinsic properties of the correlation functions describing a homogeneous electron gas in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

We report on a comprehensive thermodynamic study of a quasi-two-dimensional (quasi-2D) quantum magnet Cu$_2$(OH)$_3$Br which in the 2D layer can be viewed as strongly coupled alternating antiferromagnetic and ferromagnetic chains. In an…

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