Coherent-State Approach to Two-dimensional Electron Magnetism

Abstract

We study in this paper the possible occurrence of orbital magnetim for two-dimensional electrons confined by a harmonic potential in various regimes of temperature and magnetic field. Standard coherent state families are used for calculating symbols of various involved observables like thermodynamical potential, magnetic moment, or spatialdistribution of current. Their expressions are given in a closed form and the resulting Berezin-Lieb inequalities provide a straightforward way to study magnetism in various limit regimes. In particular, we predict a paramagnetic behaviour in the thermodynamical limit as well as in the quasiclassical limit under a weak field. Eventually, we obtain an exact expression for the magnetic moment which yields a full description of the phase diagram of the magnetization.

21 pages, 6 figures, submitted to PRB

References in corpus (1)

• Temporally stable coherent states for infinite well and Pöschl-Teller potentials

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• Evolution of squeezed states under the Fock-Darwin Hamiltonian
• Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states
• Temporally stable Coherent states for a free magnetic Schrödinger operator
• Confined System with Rashba Coupling in Constant Magnetic Field
• Thermodynamical Properties of Hall Systems
• Magnetism of Two Coupled Harmonic Oscillators
• Density operator approach for Landau problem quantum Hamiltonians