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We measure the temperature of a 2D electron gas in GaAs from the thermopower of a one-dimensional ballistic constriction, using the Mott relation to confirm the calibration from the electrical conductance. Under hot electron conditions,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. J. Appleyard , J. T. Nicholls , M. Y. Simmons , W. R. Tribe , M. Pepper

We present a self-consistent Schroedinger-Poisson scheme for simulation of electrostatic quantum dots defined in gated two-dimensional electron gas formed at n-AlGaAs/GaAs heterojunction. The computational method is applied to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Bednarek , K. Lis , B. Szafran

We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables and diamagnetic susceptibility for some diatomic molecules bounded by the Isotropic oscillator plus inverse…

A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double…

Quantum Physics · Physics 2007-05-23 Roberta Rodriquez , Jiannis K. Pachos

In this work, thermal and magnetic properties for an electron with cylindrical confinement in presence of external electric and magnetic fields have been investigated. We found that the corresponding time-independent Schr\"odinger equation…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 J. D. Castaño-Yepes , C. F. Ramirez-Gutierrez , H. Correa-Gallego , Edgar A. Gómez

In the usual Fock-and Darwin-formalism with parabolic potential characterized by the confining energy $\eps_o := \hbar\omega_o= 3.37$ meV, but including explicitly also the Zeeman coupling between spin and magnetic field, we study the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yu. P. Krasny , N. P. Kovalenko , U. Krey , L. Jacak

We present analytic estimates for the energy levels of N electrons (N = 2 - 5) in a two-dimensional parabolic quantum dot. A magnetic field is applied perpendicularly to the confinement plane. The relevant scaled energy is shown to be a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Augusto Gonzalez

We investigate the wave functions, spectrum, and g-factor anisotropy of low-energy electrons confined to self-assembled, pyramidal InAs quantum dots (QDs) subject to external magnetic and electric fields. We present the construction of…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Robert Zielke , Franziska Maier , Daniel Loss

The thermoelectric properties of quantum dot arrays (QDAs) embedded in nanowires connected to electrodes are studied theoretically in the Coulomb blockade regime. A Hurbbard-Anderson model is used to simulate the electronic contribution to…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Yen-Chun Tseng , David M. -T. Kuo , Yia-Chung Chang , Chia-Wei Tsai

We solve the Schr\"odinger equation for a charged particle in the non-uniform magnetic field by using the Nikiforov-Uvarov method. We find the energy spectrum and the wave function, and present an explicit relation for the partition…

Quantum Physics · Physics 2021-02-26 H. R. Rastegar Sedehi , Altug Arda , Ramazan Sever

We solve the Schr\"odinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The…

Quantum Physics · Physics 2017-05-10 Mahdi Eshghi , Hussein Mehraban , Sameer M. Ikhdair

The thermodynamic properties of superconducting electrons are usually studied by means of the quasi-particles distribution; but in this approach, the ground state energy and the dependence of the chemical potential on the electron density…

Superconductivity · Physics 2017-06-09 Enore Guadagnini

The electron and phonon temperature distribution function are calculated in semiconductors. We solved the coupled one-dimensional heat-diffussion equations in the linear approximation in which the physical parameters on the sample are…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

The heating of a two-dimensional electron gas by an rf electric field generated by a surface acoustic wave, which can be described by an electron temperature $T_e$, has been investigated. It is shown that the energy balance of the electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. L. Drichko , A. M. D'yakonov , V. D. Kagan , A. M. Kreshchuk , T. A. Polyanskaya , I. G. Savel'ev , I. Yu. Smirnov , A. V. Suslov

Density functional theory (DFT) and thermal DFT (thDFT) calculations were used to evaluate the energy band structure, bandgap, and the total energy of various graphene quantum dots (GQDs). The DFT calculations were performed using local…

Materials Science · Physics 2021-12-20 Majid Ghandchi , Ghafar Darvish , Mohammad Kazem Moravvej-Farshi

We investigate a two-dimensional nonlinear oscillator with a position-dependent effective mass in the framework of nonrelativistic quantum mechanics. Using the Nikiforov-Uvarov method, we obtain exact analytical expressions for the energy…

Quantum Physics · Physics 2025-09-24 S. E. Bokpe , F. A. Dossa , G. Y. H. Avossevou

The energy levels of two interacting electrons in a 2D quantum dot confined by a finite Gaussian potential and subjected to a uniform magnetic field perpendicular to the plane of the dot are studied. Analytic results are obtained for the…

Mesoscale and Nanoscale Physics · Physics 2021-06-25 S. Chaudhuri

Thermal voltage noise measurements are performed in order to determine the electron temperature in nanopatterned channels of a GaAs/AlGaAs heterostructure at bath temperatures of 4.2 and 1.4 K. Two narrow two-dimensional (2D) heating…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Sven S. Buchholz , Elmar Sternemann , Olivio Chiatti , Dirk Reuter , Andreas D. Wieck , Saskia F. Fischer

We present the exact solution of the Klein-Gordon equation in D-dimensions in the presence of the noncentral equal scalar and vector pseudoharmonic potential plus the new ring-shaped potential using the Nikiforov-Uvarov method. We obtain…

Quantum Physics · Physics 2009-11-13 Sameer M. Ikhdair , Ramazan Sever

We present a method which computes many-electron energies and eigenfunctions by a full configuration interaction which uses a basis of atomistic tight-binding wave functions. This approach captures electron correlation as well as atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Erik Nielsen , Rajib Rahman , Richard P. Muller