A microscopic approach to phase transitions in quantum systems

Details A microscopic approach to phase transitions in quantum systems A microscopic approach to phase transitions in quantum systems

2000-02-02

arxiv.org/abs/cond-mat/0002033v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1016/S0375-9601(00)00188-2

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both near the upper and lower critical dimension. Information on the microscopic hamiltonian is also retained and no mapping to effective field theories is needed. A simple approximation to our formally exact equations is studied for the spin-$S$ Heisenberg model in three dimensions where explicit results for critical exponents, critical temperature and coexistence curve are obtained.

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