An exactly solvable model of a superconducting to rotational phase transition

Details An exactly solvable model of a superconducting to rotational phase transition An exactly solvable model of a superconducting to rotational phase transition

1998-05-21

arxiv.org/abs/nucl-th/9805039v1

Phys.Rev.Lett. 80 (1998) 4394-4397

Physics

Nuclear Physics

Nuclear Theory

11 pages including 1 figure

Scientific paper

10.1103/PhysRevLett.80.4394

We consider a many-fermion model which exhibits a transition from a superconducting to a rotational phase with variation of a parameter in its Hamiltonian. The model has analytical solutions in its two limits due to the presence of dynamical symmetries. However, the symmetries are basically incompatible with one another; no simple solution exists in intermediate situations. Exact (numerical) solutions are possible and enable one to study the behavior of competing but incompatible symmetries and the phase transitions that result in a semirealistic situation. The results are remarkably simple and shed light on the nature of phase transitions.

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