An exactly solvable model of a superconducting to rotational phase
transition
release_5envwxi2jjae7br4bj6vo2rvpu
by
D.J. Rowe, C. Bahri, W. Wijesundera
1998
Abstract
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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