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We develop a bosonization scheme for the two-dimensional electron gas in the presence of an uniform magnetic field perpendicular to the two-dimensional system when the filling factor \nu = 1. We show that the elementary neutral excitations…

Strongly Correlated Electrons · Physics 2007-05-23 R. L. Doretto , A. O. Caldeira , S. M. Girvin

We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle interacting with a field configuration of crossed electric and…

High Energy Physics - Theory · Physics 2014-12-31 K. Bakke , H. Belich

We introduce an analytical approximation scheme to diagonalize parabolically confined two dimensional electron systems with both the Rashba and Dresselhaus spin-orbit interactions. The starting point of our perturbative expansion is a…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Sigurdur I. Erlingsson , J. Carlos Egues , Daniel Loss

An alternating electric field, applied to a quantum dot, couples to the electron spin via the spin-orbit interaction. We analyze different types of spin-orbit coupling known in the literature and find two efficient mechanisms of spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vitaly N. Golovach , Massoud Borhani , Daniel Loss

We study the effects of mixing of different Landau levels on the energies of one-body states, in the presence of a strong uniform magnetic field and a random potential in two dimensions. We use a perturbative approach and develop a…

Condensed Matter · Physics 2009-10-28 F. D. M. Haldane , Kun Yang

The level splittings induced by a horizontal magnetic field in a parabolic two-dimensional quantum dot with spin-orbit interaction are obtained. Characteristic features induced by the spin-orbit coupling are the appearance of zero-field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Manuel Valin-Rodriguez , Antonio Puente , Llorens Serra

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

Analytical calculations based on a Landau Level (LL) picture are reported for a many-electron system moving in an interface (with a finite-width Quantum Well (QW)) and in the presence of an external perpendicular magnetic field. They lead…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Georgios Konstantinou , Konstantinos Moulopoulos

We consider the influence of spin effects on the inter-Landau level electron-electron scattering rate in a two-dimensional electron gas. Due to the exchange spin splitting, the Landau levels are not equidistant. This leads to the suppresion…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. Tsitsishvili , Y. Levinson

We use the gauge/gravity correspondence to show that in its context there appear Landau levels when studying the excitations of the fundamental degrees of freedom of a strongly coupled plasma subject to a magnetic field of arbitrary…

High Energy Physics - Theory · Physics 2022-06-29 Uriel Elinos , Leonardo Patino

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

We study electron transport through a multi-level quantum dot with Rashba spin-orbit interaction in the presence of local Coulomb repulsion. Motivated by recent experiments, we compute the level splitting induced by the spin-orbit…

Strongly Correlated Electrons · Physics 2012-08-29 S. Grap , V. Meden , S. Andergassen

When Landau levels (LLs) become degenerate near the Fermi energy in the quantum Hall regime, interaction effects can drastically modify the electronic ground state. We study the quantum Hall ferromagnet formed in a two-dimensional hole gas…

Strongly Correlated Electrons · Physics 2020-08-12 M. Lupatini , P. Knüppel , S. Faelt , R. Winkler , M. Shayegan , A. Imamoglu , W. Wegscheider

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

We consider a charged particle moving in a two dimensional plane in the presence of a background magnetic field perpendicular to the plane, i.e. the Landau system in a phase-space where the coordinates and momenta both follow canonical…

High Energy Physics - Theory · Physics 2017-01-04 Sunandan Gangopadhyay , Anirban Saha , Aslam Halder

We show that in a very strong magnetic field $B$ electron-phonon interaction gives rise to a splitting of Landau levels of a 2D electron into a series of infinitely degenerate sublevels. We provide both qualitative and quantitative…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 V. V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

Majorana fermions were originally proposed as elementary particles acting as their own antiparticles. In recent years, it has become clear that Majorana fermions can instead be realized in condensed-matter systems as emergent…

Strongly Correlated Electrons · Physics 2016-04-27 Stephan Rachel , Lars Fritz , Matthias Vojta

We study the electrical transport properties of a two-dimensional electron gas with the Rashba spin-orbit interaction in presence of a constant perpendicular magnetic field $(B_0 \hat z)$ which is weakly modulated by ${\bf B_1} = B_1 \cos…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 SK Firoz Islam , Tarun Kanti Ghosh

We present the global topological phase diagram of a two-dimensional electron gas placed in a quantizing magnetic field and proximitized by a superconducting vortex lattice. Our theory allows for arbitrary ratios of the pairing amplitude,…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Daniil S. Antonenko , Liang Fu , Leonid I. Glazman

When charged particles are subjected to strong magnetic fields, they form discrete energy levels known as Landau levels. The Landau levels consist of a series of degenerate states of Landau modes, making them a promising platform for…

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