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arXiv · cond-mat/9301023

Soluble `Supersymmetric' Quantum XY Model

A. E. Rana·S. M. Girvin
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Abstract

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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A. E. Rana, S. M. Girvin. 1993-01-20. Soluble `Supersymmetric' Quantum XY Model. https://doi.org/10.1103/physrevb.48.360

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