Coherent-State Approach to Two-dimensional Electron Magnetism

Details Coherent-State Approach to Two-dimensional Electron Magnetism Coherent-State Approach to Two-dimensional Electron Magnetism

2001-01-22

arxiv.org/abs/cond-mat/0101338v1

Phys. Rev. B 65 (2002) 094427

Physics

Condensed Matter

Statistical Mechanics

21 pages, 6 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.65.094427

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.

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