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Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Augusto Gonzalez , Juan David Serna , Roberto Capote , Guillermo Avendaño

We examine the behaviour of a charged particle in a two-dimensional confining potential, in the presence of a magnetic field. The confinement serves to remove the otherwise infinite degeneracy, but additional ingredients are required to…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Asadullah Bhuiyan , Frank Marsiglio

We present a simple method that allows to calculate the electromagnetic response of non-interacting electrons in strong magnetic field to arbitrary order in the gradients of external electric and magnetic fields. We illustrate the method on…

Strongly Correlated Electrons · Physics 2017-03-08 Dung Xuan Nguyen , Andrey Gromov

In this work we introduce a bosonization scheme for the low energy excitations of a 2D interacting electron gas in the presence of an uniform magnetic field under conditions where a large integral number of Landau levels are filled. We give…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 H. Westfahl , A. H. Castro Neto , A. O. Caldeira

We investigate the electronic eigenstates of graphene quantum dots of realistic size (i.e., up to 80 nm diameter) in the presence of a perpendicular magnetic field B. Numerical tight-binding calculations and Coulomb-blockade measurements…

Mesoscale and Nanoscale Physics · Physics 2010-06-09 F. Libisch , S. Rotter , J. Güttinger , C. Stampfer , J. Burgdörfer

We derive a general quasiclassical approach for long-range magnetic-field quantization effects in superconductors. The method is applied to superclean d-wave superconductors in the mixed state. We study the delocalized states with energies…

Superconductivity · Physics 2009-10-31 N. B. Kopnin , V. M. Vinokur

We argue that, due to the specific form of the interaction potential between electronic guiding centers, a bubble crystal (BC) with basis may be energetically more favorable than the usual bubble solid. This new BC has well-defined normal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. M. Ettouhami , F. D. Klironomos , A. T. Dorsey

We calculate the local density of states of a two-dimensional electron system under strong crossed magnetic and electric fields. We assume a strong perpendicular magnetic field which, in the absence of in-plane electric fields and collision…

Mesoscale and Nanoscale Physics · Physics 2011-05-11 S. Erden Gulebaglan , I. Sokmen , A. Siddiki , R. R. Gerhardts

A brief summary of the emerging evidence for a new class of collective states of two-dimensional electrons in partially occupied excited Landau levels is presented. Among the most dramatic phenomena described are the large anisotropies of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P Eisenstein , M. P. Lilly , K. B. Cooper , L. N. Pfeiffer , K. W. West

We study two interacting electrons in a two-dimensional system under a strong magnetic field and show that their numerically exact solutions organize into a set of {\em sub-Landau levels} characterized by relative angular momentum quantum…

Strongly Correlated Electrons · Physics 2026-04-07 Guo-Qiang Hai

We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schr\"odinger operator with constant magnetic field, by bounded electric potentials of fixed sign. We also show that, if the perturbation is not of fixed sign, then…

Mathematical Physics · Physics 2009-07-01 Frédéric Klopp , Georgi Raikov

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

At high magnetic fields and low temperatures, numerous extreme type-II superconductors exhibit Landau quantization of electronic motion. We present an analytic construction of the quasiparticle spectrum in this regime, based on the…

Superconductivity · Physics 2007-05-23 Zlatko Tesanovic , Pedro D. Sacramento

The electronic states of lateral many electron quantum dots in high magnetic fields are analyzed in terms of energy and spin. In a regime with two Landau levels in the dot, several Coulomb blockade peaks are measured. A zig-zag pattern is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. C. Rogge , E. Rasanen , R. J. Haug

As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on…

Strongly Correlated Electrons · Physics 2025-10-24 Götz S. Uhrig

We study the quantum dynamics of neutral particle that posseses a permanent magnetic and electric dipole moments in the presence of an electromagnetic field. The analysis of this dynamics demonstrates the appearance of a quantum phase that…

Quantum Physics · Physics 2009-11-10 Claudio Furtado , C. A. de Lima Ribeiro

The quantization of the energy in a magnetic field (Landau quantization) at a three-quarter Dirac point is studied theoretically. The three-quarter Dirac point is realized in the system of massless Dirac fermions with the critically tilted…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Yasumasa Hasegawa , Keita Kishigi

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

We study the energy spectrum of a two-dimensional electron in the presence of both a perpendicular magnetic field and a potential. In the limit where the potential is small compared to the Landau level spacing, we show that the broadening…

Other Condensed Matter · Physics 2019-09-10 J. -N. Fuchs , R. Mosseri , J. Vidal

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
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