Orbital magnetic properties of quantum dots: the role of electron-electron interactions
arXiv:cond-mat/0309500 · doi:10.1103/PhysRevB.69.075311
Abstract
We study the magnetic orbital response of a system of N interacting electrons confined in a two-dimensional geometry and subjected to a perpendicular magnetic field in the finite temperature Hartree-Fock approximation. The electron-electron interaction is modelled by a short-range Yukawa-type potential. We calculate the ground state energy, magnetization, and magnetic susceptibility as a function of the temperature, the potential range, and the magnetic field. We show that the amplitude and period of oscillations in the magnetic susceptibility are strongly affected by the electron-electron interaction as evidenced in experimental results. The zero-field susceptibility displays both paramagnetic and diamagnetic phases as a function of temperature and the number of confined electrons.
arXiv comment8 pages, 8 figures (revTex4)
References in corpus (13)
- Quantum Effects in Coulomb Blockade
- Orbital Magnetism in the Ballistic Regime: Geometrical Effects
- Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
- Anderson Orthogonality Catastrophe in Disordered Systems
- Chaos and Interacting Electrons in Ballistic Quantum Dots
- Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry
- The orbital magnetization of single and double quantum dots in a tight binding model
- Integrability and Disorder in Mesoscopic Systems: Application to Orbital Magnetism
- Orthogonality Catastrophe in Parametric Random Matrices
- Short-range interactions in a two-electron system: energy levels and magnetic properties
- Quantum dots in magnetic fields: thermal response of broken symmetry phases
- Orbital Magnetism in Disordered Mesoscopic Metals
- Orbital Magnetism in Ensembles of Parabolic Potentials
Cited by in corpus (4)
- Entanglement based observables for quantum impurities
- Parametric invariant Random Matrix Model and the emergence of multifractality
- Exchange interaction effects in the thermodynamic properties of quantum dots
- The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics