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We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

Due to the spin-orbital coupling in a semiconductor quantum dot, a freely precessing electron spin produces a time-dependent charge density. This creates a sizeable electric field outside the dot, leading to promising applications in…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , E. I. Rashba

In large ensembles of identical atoms or spins, the interaction with a mode of the electromagnetic radiation field concentrates in a single superradiant degree of freedom with a collectively enhanced coupling. Given a controllable…

Quantum Physics · Physics 2011-06-08 Z. Kurucz , J. H. Wesenberg , K. Mølmer

The quantum Hall ferromagnet at filling fraction $\nu = 1$ has some unusual properties due to the remarkable identity between the topological density of a spin distortion and the associated electrical charge density. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. G. Green

We examine the density-functional theory of macroscopic insulators, obtained in the large-cluster limit or under periodic boundary conditions. For polar crystals, we find that the two procedures are not equivalent. In a large-cluster case,…

Materials Science · Physics 2009-10-28 X. Gonze , Ph. Ghosez , R. W. Godby

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential, within the framework of a classical non-linear sigma model. We discuss the behaviour of the system using a heuristic picture for the…

Strongly Correlated Electrons · Physics 2010-02-25 D. K. K. Lee , S. Rapsch , J. T. Chalker

Density-functional theory is used to study the electronic structure of quantum dots in a magnetic field. New series of magic numbers are found for the total angular momentum of electrons. The empirical formula for the plateau width is…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 A. A. Vasilchenko

Systems involving N-identical interacting particles under quantum confinement appear in many areas of physics, including chemical, condensed matter, and atomic physics. We discuss a beyondmean- field perturbation method that is applicable…

Atomic Physics · Physics 2007-05-23 W. B. Laing , M. Dunn , J. G. Loeser , D. K. Watson

We study the transition between sharp and smooth density distributions at the edges of Quantum Hall Liquids in the presence of interactions. We find that, for strong confining potentials, the edge of a $\nu=1$ liquid is described by the…

Condensed Matter · Physics 2009-10-22 C. de C. Chamon , X. G. Wen

Density functional theory has become the workhorse of quantum physics, chemistry, and materials science. Within these fields, a broad range of applications needs to be covered. These applications range from solids to molecular systems, from…

Chemical Physics · Physics 2025-01-20 Christof Holzer , Yannick J. Franzke

The coupled kinetic equation for density and spin Wigner functions are derived including spin-orbit coupling, electric and magnetic field as well as selfconsistent Hartree meanfields suited for SU(2) transport. The interactions are assumed…

Strongly Correlated Electrons · Physics 2015-12-23 K. Morawetz

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite…

Statistical Mechanics · Physics 2009-11-10 Michael Hartmann , Guenter Mahler , Ortwin Hess

We show two kinds of inhomogeneous spin domain possessing N\'{e}el-like domain walls in spin-1 Bose-Einstein condensate, which are induced by the positive and negative quadratic Zeeman effect (QZE) respectively. In both cases, the spin…

Quantum Gases · Physics 2013-03-27 Dun Zhao , Shu-Wei Song , Lin Wen , Zai-Dong Li , Hong-Gang Luo , Wu-Ming Liu

We show that by switching on a spin-orbit interaction in a cold-atom system, experiencing a Zeeman-like coupling to an external field, e.g., in a Bose-Einstein condensate, one can simulate a quantum measurement on a precessing spin.…

Quantum Physics · Physics 2014-05-27 D. Sokolovski , E. Ya. Sherman

It is shown that in adiabatic approximation for nuclei the many-component Coulomb system cannot be described on the basis of the grand canonical ensemble. Using the variational Bogolyubov's procedure for the free energy, the Hohenberg-Kohn…

Statistical Mechanics · Physics 2010-04-07 V. B. Bobrov , S. A. Trigger

We investigate the effects of inhomogeneities on spin entanglement in many-electron systems from an ab-initio approach. The key quantity in our approach is the local spin entanglement length, which is derived from the local concurrence of…

Quantum Physics · Physics 2015-03-27 S. Pittalis , F. Troiani , C. A. Rozzi , G. Vignale

We study interaction effect of quantum spin Hall state in InAs/GaSb quantum wells under an in-plane magnetic field by using the self-consistent mean field theory. We construct a phase diagram as a function of intra-layer and inter-layer…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Lun-Hui Hu , Chih-Chieh Chen , Chao-Xing Liu , Fu-Chun Zhang , Yi Zhou

A mechanism is advanced suggesting the resolution of the dichotomy of long-lived spin polarization storage versus fast spin reversal at the required time. A system of atoms or molecules is considered interacting through magnetic dipolar…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 V. I. Yukalov , E. P. Yukalova

The reconstruction of the exchange-correlation potential from accurate ab initio electron densities can provide insights into the limitations of the currently available approximate functionals and provide guidance for devising improved…

Strongly Correlated Electrons · Physics 2013-02-05 Katharina Boguslawski , Christoph R. Jacob , Markus Reiher

We present a theoretical study of optical electron-spin orientation and spin-dependent Shockley-Read-Hall recombination taking into account the hyperfine coupling between the bound-electron spin and the nuclear spin of a deep paramagnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 E. L. Ivchenko , L. A. Bakaleinikov , V. K. Kalevich
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