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We analytically derived the effective two-body interaction for a finite thickness quantum Hall system with a harmonic perpendicular confinement and an in-plane magnetic field. The anisotropic effective interaction in the lowest Landau level…

Strongly Correlated Electrons · Physics 2017-11-29 Bo Yang , Ching Hua Lee , Chi Zhang , Zi-Xiang Hu

We investigate the ground state competition at the transition from the spin unpolarized to spin ordered phase at filling factor $\nu=2/3$ in single layer heterostructure and at $\nu=2$ in double layer quantum well. To trace the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. T. Dolgopolov , E. V. Deviatov , V. S. Khrapai , D. Reuter , A. D. Wieck , A. Wixforth , K. L. Campman , A. C. Gossard

We analyse the ground state properties of vertical double quantum dots in the lowest Landau level regime for filling factor \nu=2. This analysis follow two lines: on the one hand, we study the dispersion relation of different collective…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Barberan

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Rudolf A. Römer , Josef Oswald

We study the theory of intrinsic photoluminescence of two-dimensional electron systems in the vicinity of the $\nu=1$ quantum Hall state. We focus predominantly on the recombination of a band of initial ``excitonic states'' that are the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 N. R. Cooper , D. B. Chklovskii

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W$%_{\infty}$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Tsitsishvili , Z. F. Ezawa

We study the magnetoplasmon collective mode excitations of integer quantum Hall systems in a parabolically confined quantum well nanostructure in the presence of a tilted magnetic field by using the time-dependent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daw-Wei Wang , S. Das Sarma , Eugene Demler , Bertrand I. Halperin

The effective mass of the quasi-particles in the fermion-Chern-Simons description of the quantum Hall state at half-filling is computed for electron-electron interactions $V(r)\sim r^{x-2}$, for $0<x<3/2$, following the previous work of…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Antoine Praz

The mutual interplay between electron transport and magnetism has attracted considerable attention in recent years, primarily motivated by strategies to manipulate magnetic degrees of freedom electrically, such as spin-orbit torques and…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Hong Liu , Rhonald Burgos Atencia , Nikhil Medhekar , Dimitrie Culcer

Single layer core/shell structures consisting of graphene as core and hexagonal boron nitride as shell are studied using first-principles plane wave method within density functional theory. Electronic energy level structure is analysed as a…

Mesoscale and Nanoscale Physics · Physics 2014-08-05 S. Cahangirov , S. Ciraci

We study the quantum oscillations of inter-layer capacitance in an excitonic insulating electron-hole double layer with the Hartree Fock mean-field theory. Such oscillations could be simply understood from the physical picture ``exciton…

Strongly Correlated Electrons · Physics 2024-04-03 Yuelin Shao , Xi Dai

Interactions among electrons can give rise to striking collective phenomena when the kinetic energy of charge carriers is suppressed. One example is the fractional quantum Hall effect, in which correlations between electrons moving in two…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Benjamin E. Feldman , Benjamin Krauss , Jurgen H. Smet , Amir Yacoby

The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Lachlan L. Marnham , Andrey V. Shytov

We present new theoretical results on the spectrum of the quantum field theory of the Double Sine Gordon model. This non-integrable model displays different varieties of kink excitations and bound states thereof. Their mass can be obtained…

High Energy Physics - Theory · Physics 2010-04-05 G. Mussardo , V. Riva , G. Sotkov

We systematically discuss candidate wave functions for the ground state of the bilayer \nu = 1 as the distance between the layers is varied. Those that describe increased intralayer correlations at finite distance show a departure from the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. V. Milovanovic

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

The thermally activated behavior of the gate defined narrow Hall bars is studied by analyzing the existence of the incompressible strips within a Hartree-type approximation. We perform self-consistent calculations considering the linear…

Mesoscale and Nanoscale Physics · Physics 2010-04-09 S. Sakiroglu , U. Erkarslan , G. Oylumluoglu , A. Siddiki , I. Sokmen

Electron interactions are pivotal for defining the electronic structure of quantum materials. In particular, the strong electron Coulomb repulsion is considered the keystone for describing the emergence of exotic and/or ordered phases of…

he properties of excitons formed in spherical quantum dots are studied using the $\mathbf{k}\cdot\mathbf{p}$ method within the Hartree approximation. The spherical quantum dots considered have a central core and several concentric layers of…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 Mariano Garagiola , Omar Osenda

The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith