Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field

Matthew P. A. Fisher; D. H. Lee

doi:10.1103/PhysRevB.39.2756

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Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field

Matthew P. A. Fisher, D. H. Lee

DOI 10.1103/PhysRevB.39.2756 · Physical Review B

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Abstract

We study the partition function of two-dimensional lattice bosons at T=0 and derive a dual representation which is isomorphic to a bulk superconductor with fluctuating-gauge field in an applied magnetic field. This allows us to relate boson ground states to thermodynamic phases of the superconductor. A density-wave Bose insulator corresponds to an Abrikosov flux-lattice phase, whereas boson superfluidity implies a nonsuperconducting flux-line liquid phase. By analogy with a boson supersolid, we suggest the possibility of an exotic Abrikosov flux-lattice phase with no superconducting long-ranged order.