Quantum description of spherical spins

Physics – Condensed Matter

Scientific paper

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4 pages postscript. Revised version, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.74.4293

The spherical model for spins describes ferromagnetic phase transitions well, but it fails at low temperatures. A quantum version of the spherical model is proposed. It does not induce qualitative changes near the phase transition. However, it produces a physical low temperature behavior. The entropy is non-negative. Model parameters can be adapted to the description of real quantum spins. Several applications are discussed. Zero-temperature quantum phase transitions are analyzed for a ferromagnet and a spin glass in a transversal field. Their crossover exponents are presented.

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