Soluble `Supersymmetric' Quantum XY Model

Details Soluble `Supersymmetric' Quantum XY Model Soluble `Supersymmetric' Quantum XY Model

1993-01-20

arxiv.org/abs/cond-mat/9301023v1

Physics

Condensed Matter

12 pages, REVTEX 3.0, IUCM93-001

Scientific paper

10.1103/PhysRevB.48.360

We present a `supersymmetric' modification of the $d$-dimensional quantum rotor model whose ground state is exactly soluble. The model undergoes a vortex-binding transition from insulator to metal as the rotor coupling is varied. The Hamiltonian contains three-site terms which are relevant: they change the universality class of the transition from that of the ($d+1$)--- to the $d$-dimensional classical XY model. The metallic phase has algebraic ODLRO but the superfluid density is identically zero. Variational wave functions for single-particle and collective excitations are presented.

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