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We present a Hartree-Fock study that incorporates the effects of Landau level mixing and screening due to filled levels into the computation of energies and states of quasiparticles in quantum Hall ferromagnets. We use it to construct a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. Mihalek , H. A. Fertig

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

The spin polarization versus temperature at or near a fully filled lowest Landau level is explored for finite-size systems in a periodic rectangular geometry. Our results at $\nu=1$ which also include the finite-thickness correction are in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , P. Pietiläinen , R. Shankar

Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Yu. E. Lozovik , A. A. Sokolik

Using variational quantum Monte Carlo method, the effect of Landau-level mixing on the lowest-energy--state diagram of small quantum dots is studied in the magnetic field range where the density of magnetic flux quanta just exceeds the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 S. Siljamaki , A. Harju , R. M. Nieminen , V. A. Sverdlov , P. Hyvonen

Results are presented of detailed numerical calculations for the spin excitation spectra of a two-dimensional electron gas confined in a quantum well of finite width w, at magnetic fields corresponding to the fractional and integral…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arkadiusz Wojs , John J. Quinn

Spin-flip excitations in a quantum Hall electron system at fixed filling factor nu=2 are modelled and studied under conditions of a strong Coulomb interaction when the `Landau level mixing' is a dominant factor determining the excitation…

Strongly Correlated Electrons · Physics 2020-07-07 S. Dickmann , B. D. Kaysin

The spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states, and thereby serve as an extremely sensitive test of the quantitative accuracy of…

Strongly Correlated Electrons · Physics 2016-09-14 Yuhe Zhang , A. Wójs , J. K. Jain

We study dynamics of electrons in a magnetic field using a network model with two channels per link with random mixing in a random intrachannel potential; the channels represent either two Landau levels or two spin states. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 V. Kagalovsky , B. Horovitz , Y. Avishai

We study a two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit interactions. Using a Bogoliubov transformation we are able to write an approximate formula for the Landau…

Materials Science · Physics 2009-11-11 Mahdi. Zarea , Sergio. E. Ulloa

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

Excitation modes in the range $2/5 \geq \nu \geq 1/3$ of the fractional quantum Hall regime are observed by resonant inelastic light scattering. Spectra of spin reversed excitations suggest a structure of lowest spin-split Landau levels of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Irene Dujovne , A. Pinczuk , Moonsoo Kang , B. S. Dennis , L. N. Pfeiffer , W. K. West

We obtain expressions for the current operator in the lowest Landau level (L.L.L.) field theory, where higher Landau level mixing due to various external and interparticle interactions is sytematically taken into account. We consider the…

High Energy Physics - Theory · Physics 2015-06-26 Rashmi Ray , Gil Gat

At half filling of the fourfold degenerate Landau levels |n| \geq 1 in graphene, the ground states are spin polarized quantum Hall states that support spin skyrmion excitations for |n| =1,2,3. Working in the Hartree-Fock approximation, we…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 Wenchen Luo , R. Côté

The effect of interactions near the coincidence of two Landau levels with opposite spins at filling factor 1/2 is investigated. By mapping to Composite Fermions it is shown that the fluctuations of the gauge field induces an effective…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Mariani , N. Magnoli , F. Napoli , M. Sassetti , B. Kramer

We show that the merging of the spin- and valley-split Landau levels at the chemical potential is an intrinsic property of a strongly-interacting two-dimensional electron system in silicon. Evidence for the level merging is given by…

Strongly Correlated Electrons · Physics 2014-09-10 A. A. Shashkin , V. T. Dolgopolov , J. W. Clark , V. R. Shaginyan , M. V. Zverev , V. A. Khodel

A graphene bilayer in a transverse magnetic field has a set of Landau levels with energies $E=\pm \sqrt{N(N+1)}\hslash \omega_{c}^{\ast}$ where $\omega_{c}^{\ast}$ is the effective cyclotron frequency and $% N=0,1,2,...$ All Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 R. Cote , Wenchen Luo , Branko Petrov , Yafis Barlas , A. H. MacDonald

We compute the effect of Landau-level-mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

The ground state of a two-dimensional electron gas at Landau level filling factors near $\nu =1$ is a Skyrme crystal with long range order in the positions and orientations of the topologically and electrically charged elementary…

Condensed Matter · Physics 2009-10-28 L. Brey , H. A. Fertig , R. Cote , A. H. MacDonald

We study the effects of Landau level mixing in the limit of weak electron interaction. We use a numerical method to obtain the two- and three-body corrections to quantum Hall pseudopotentials, which are exact to lowest order in the Landau…

Strongly Correlated Electrons · Physics 2013-05-01 Steven H. Simon , Edward H. Rezayi
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