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The energy spectrum of an electron confined to an arbitrary surface of revolution in an external magnetic field, parallel to the symmetry axis, is studied analitycally and numerically. The problem is reduced via conformal mapping to one on…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 P. Malits , A. Kaplunovsky , I. D. Vagner , P. Wyder

We consider a quantum ring of a certain radius R built from a sheet of the $\alpha$-$T_3$ lattice and solve for its spectral properties in presence of an external magnetic field. The energy spectrum consists of a conduction band, a valence…

Mesoscale and Nanoscale Physics · Physics 2023-09-15 Mijanur Islam , Tutul Biswas , Saurabh Basu

The structure of the electron quantum size levels in spherical nanocrystals is studied in the framework of an eight--band effective mass model at zero and weak magnetic fields. The effect of the nanocrystal surface is modeled through the…

Materials Science · Physics 2009-11-07 A. V. Rodina , Al. L. Efros , A. Yu. Alekseev

By introducing Dirac ?-function in superhigh magnetic field, we deduce a general formula for pressure of degenerate and relativistic electrons, Pe, which is suitable for superhigh magnetic fields, discuss the quantization of Landau levels…

High Energy Physics - Phenomenology · Physics 2015-11-16 Z. F. Gao , N. Wang , Y. Xu , H. Shan , X. D. Li

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

The electric-field effect on the electronic and magnetic properties of triangular and hexagonal graphene quantum rings with zigzag edge termination is investigated by means of the single-band tight-binding Hamiltonian and the mean-field…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 R. Farghadan , A. Saffarzadeh

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

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

An approximate analytic solution for the ground electron state are found to the Schroedinger equation for a combination of a uniform magnetic field and single attractive delta-potential. Effect of the magnetic field on this bound localized…

Quantum Physics · Physics 2007-05-23 F. Kh. Chibirova , V. R. Khalilov

The exact energy levels and wave functions of an electron free to move on a sphere under the radial magnetic field is found. Wave functions are expressed in terms of Jacobi polynomials which were well-defined and have orthogonality…

Quantum Physics · Physics 2017-09-13 A. Çetin

We analyze the effects of an applied magnetic field on the phase diagram of a weakly-correlated electron system with imperfect nesting. The Hamiltonian under study describes two bands: electron and hole ones. Both bands have spherical Fermi…

Strongly Correlated Electrons · Physics 2017-01-19 A. O. Sboychakov , A. L. Rakhmanov , K. I. Kugel , A. V. Rozhkov , Franco Nori

Quantum effects on a Landau-type system associated with a moving atom with a magnetic quadrupole moment subject to confining potentials are analysed. It is shown that the spectrum of energy of the Landau-type system can be modified, where…

Quantum Physics · Physics 2016-07-05 I. C. Fonseca , K. Bakke

The effects of surface curvature on the motion of electrons in a mesoscopic two-dimensional ring on a cone in the presence of external magnetic fields are examined. The approach follows the thin-layer quantization procedure, which gives…

Mesoscale and Nanoscale Physics · Physics 2019-11-04 Luís Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

The effect of a weak uniform magnetic field on the electronic structure of slightly deformed fullerene molecules is studied within the continuum field-theory model. It is shown that fine structure of the electronic energy spectrum is very…

Materials Science · Physics 2009-11-13 M. Pudlak , R. Pincak , V. A. Osipov

The effect of the uniform magnetic field on the electron in the spherically symmetric square-well potential is studied. A transcendental equation that determines the electron energy spectrum is derived. The approximate value of the lowest…

Quantum Physics · Physics 2007-05-23 I. V. Mamsurov , F. Kh. Chibirova

Considering the quantum dynamics of 2DEG exposed to both a stationary magnetic field and an intense high-frequency electromagnetic wave, we found that the wave decreases the scattering-induced broadening of Landau levels. Therefore, various…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 K. Dini , O. V. Kibis , I. A. Shelykh

A magnetic field, through its vector potential, usually causes measurable changes in the electron wave function only in the direction transverse to the field. Here we demonstrate experimentally and theoretically that in carbon nanotube…

Mesoscale and Nanoscale Physics · Physics 2019-03-08 M. Marganska , D. R. Schmid , A. Dirnaichner , P. L. Stiller , Ch. Strunk , M. Grifoni , A. K. Hüttel

The magnetization for electrons on a two-dimensional sphere, under a spherically symmetrical normal magnetic field has been studied in the large field limit. This allows us to use an Euclidean approximation for low energies electron states…

Mathematical Physics · Physics 2007-05-23 Cesar Castilho , Andre Penna-Firme

We study the magnetic properties of electron in a constant magnetic field and confined by a isotropic two dimensional harmonic oscillator on a space where the coordinates and momenta operators obey generalized commutation relations leading…

Quantum Physics · Physics 2009-11-13 Khireddine Nouicer

Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a…

Nuclear Theory · Physics 2021-06-30 Johannes Kirscher , Brian C. Tiburzi
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