Effects of magnetic field on the two-dimensional systems of antiferromagnetically correlated electrons based on the Hubbard model Hamiltonian with easy axis: Aharonov-Bohm and Zeeman effects

2000 ◽  
Vol 62 (22) ◽  
pp. 14880-14885 ◽  
Author(s):  
Seung-Pyo Hong ◽  
Sung-Sik Lee ◽  
Sung-Ho Suck Salk
Keyword(s):  
Magnetic Field ◽  
Hubbard Model ◽  
Easy Axis ◽  
Correlated Electrons ◽  
Two Dimensional ◽  
Model Hamiltonian ◽  
Aharonov Bohm

scholarly journals Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3

2020 ◽  
pp. 2150006
Author(s):  
Denis Bonheure ◽  
Jean Dolbeault ◽  
Maria J. Esteban ◽  
Ari Laptev ◽  
Michael Loss
Keyword(s):  
Magnetic Field ◽  
Dimensional Sphere ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Euclidean Spaces ◽  
Hardy Inequalities ◽  
Interpolation Inequalities ◽  
Nonlinear Interpolation ◽  
Magnetic Potentials ◽  
Aharonov Bohm

This paper is devoted to a collection of results on nonlinear interpolation inequalities associated with Schrödinger operators involving Aharonov–Bohm magnetic potentials, and to some consequences. As symmetry plays an important role for establishing optimality results, we shall consider various cases corresponding to a circle, a two-dimensional sphere or a two-dimensional torus, and also the Euclidean spaces of dimensions 2 and 3. Most of the results are new and we put the emphasis on the methods, as very little is known on symmetry, rigidity and optimality in the presence of a magnetic field. The most spectacular applications are new magnetic Hardy inequalities in dimensions [Formula: see text] and [Formula: see text].

A SINGLE HOLE IN THE TWO-DIMENSIONAL INFINITE-U HUBBARD MODEL IN AN ORBITAL MAGNETIC FIELD

1994 ◽  
Vol 08 (06) ◽  
pp. 707-725
Author(s):  
S. V. MESHKOV ◽  
J. C. ANGLÈS D'AURIAC
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Hubbard Model ◽  
Ground State ◽  
Quantum Monte Carlo ◽  
Applied Field ◽  
Monte Carlo Algorithm ◽  
Two Dimensional ◽  
Thermodynamical Properties ◽  
Single Hole

Using an original Quantum Monte Carlo algorithm, we study the thermodynamical properties of a single hole in the two-dimensional infinite-U Hubbard model at finite temperature. We investigate the energy and the spin correlators as a function of an external orbital magnetic field. This field is found to destroy the Nagaoka ferromagnetism and to induce chirality in the spin background. The applied field is partially screened by a fictitious magnetic field coming from the chirality. Our algorithm allows us to reach a temperature low enough to discuss the ground state properties of the model.

scholarly journals Undulatory variation of antiferromagnetic strength with magnetic field based on the Hubbard-model Hamiltonian

1997 ◽  
Vol 55 (21) ◽  
pp. 14084-14087 ◽  
Author(s):  
Hyeonjin Doh ◽  
Seung-Pyo Hong ◽  
Sung-Ho Salk
Keyword(s):  
Magnetic Field ◽  
Hubbard Model ◽  
Model Hamiltonian

scholarly journals Magnetic-Field-induced Antiferromagnetism in Two-dimensional Hubbard Model: Analysis of CeRhIn5

2005 ◽  
Vol 74 (1) ◽  
pp. 271-274 ◽  
Author(s):  
Keitaro Sakurazawa ◽  
Hiroshi Kontani ◽  
Tetsuro Saso
Keyword(s):  
Magnetic Field ◽  
Hubbard Model ◽  
Model Analysis ◽  
Two Dimensional

scholarly journals A quantum ring in a nanosphere

2019 ◽  
Vol 16 (11) ◽  
pp. 1950167 ◽  
Author(s):  
A. L. Silva Netto ◽  
B. Farias ◽  
J. Carvalho ◽  
C. Furtado
Keyword(s):  
Magnetic Field ◽  
Quantum System ◽  
Quantum Dynamics ◽  
Uniform Magnetic Field ◽  
Quantum Ring ◽  
Two Dimensional ◽  
Spherical Space ◽  
Electron Hole ◽  
Confining Potential ◽  
Aharonov Bohm

In this paper, we study the quantum dynamics of an electron/hole in a two-dimensional quantum ring within a spherical space. For this geometry, we consider a harmonic confining potential. Suggesting that the quantum ring is affected by the presence of an Aharonov–Bohm flux and a uniform magnetic field, we solve the Schrödinger equation for this problem and obtain exactly the eigenvalues of energy and corresponding eigenfunctions for this nanometric quantum system. Afterwards, we calculate the magnetization and persistent current are calculated, and discuss influence of curvature of space on these values.

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