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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 magnetoresistivity tensor of an interacting two-dimensional electron system with a lateral and unidirectional electric or magnetic modulation, in a perpendicular quantizing magnetic field, is calculated within the Kubo formalism. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Andrei Manolescu , Rolf R. Gerhardts

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

The spatial behavior of Landau levels (LLs) for the $nu=1$ quantum Hall regime at the edge of a wide channel is studied in a self-consistent way by using a generalized local density approximation proposed here. Both exchange interaction and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. G. Balev , Nelson Studart

The Coulomb exchange interaction is the driving force for quantum coherence in quantum Hall systems. We construct a microscopic Landau-site Hamiltonian for the exchange interaction in bilayer quantum Hall ferromagnets, which is…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Z. F. Ezawa , K. Hasebe

We study the effects of electron-electron interaction on the critical properties of the plateau transitions in the {\it integer} quantum Hall effect. We find the renormalization group dimension associated with short-range interactions to be…

Condensed Matter · Physics 2009-10-28 Dung-Hai Lee , Ziqiang Wang

For quantum ballistic transport of electrons through a short conduction channel, the role of Coulomb interaction may significantly modify the energy levels of an electron pair at low temperatures as the channel becomes wide. In this regime,…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Danhong Huang , Godfrey Gumbs , Yonatan Abranyos , Michael Pepper , Sanjeev Kumar

In a recent experiment, Milliken {\em et al.} demonstrated possible evidence for a Luttinger liquid through measurements of the tunneling conductance between edge states in the $\nu=1/3$ quantum Hall plateau. However, at low temperatures, a…

Condensed Matter · Physics 2009-10-28 K. Moon , S. M. Girvin

We report on numerical studies of the energy spectrum and the localization properties in the double-layer quantum Hall system at $\nu = 1$. The Coulomb interaction is treated by the Hartree-Fock approximation, and the localization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jun-ichiro Watanabe , Tatsuya Nakajima

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

The electronic Hong-Ou-Mandel interferometer in the integer quantum Hall regime is an ideal system to probe the building up of quantum correlations between charge carriers and it has been proposed as a viable platform for quantum computing…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 Laura Bellentani , Paolo Bordone , Xavier Oriols , Andrea Bertoni

We obtain a microscopic description of the interaction between electron spins in bulk semiconductors and in pairs of semiconductor quantum dots. Treating the k.p band mixing and the Coulomb interaction on the same footing, we obtain in the…

Other Condensed Matter · Physics 2007-05-23 Ş. C. Bădescu , Y. Lyanda-Geller , T. L. Reinecke

We present a simple classification of the different liquid and solid phases of quantum Hall systems in the limit where the Coulomb interaction between the electrons is significant, i.e. away from integral filling factors. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , C. Morais Smith

The inter-Landau-level spin excitations of quantum Hall states at filling factors nu=2 and 4/3 are investigated by exact numerical diagonalization for the situation in which the cyclotron (hbar*omega_c) and Zeeman (E_Z) splittings are…

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

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

We derive a closed analytical expression for the exchange energy of the three-dimensional interacting electron gas in strong magnetic fields, which goes beyond the quantum limit (L=0) by explicitly including the effect of the second, L=1,…

Materials Science · Physics 2009-11-13 J. M. Morbec , K. Capelle

The behavior of electrons in condensed matter systems is mostly determined by the repulsive Coulomb interaction. However, under special circumstances the Coulomb interaction can be effectively attractive, giving rise to electron pairing in…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Giovanni A. Frigeri , Bernd Rosenow

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

We use a Hartree-Fock-Koopmans approach to study spin and interaction effects in a diffusive or chaotic quantum dot. In particular, we derive the statistics of the spacings between successive Coulomb-blockade peaks. We include fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , S. Malhotra

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava
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