Threedimensional generalization of anyon superconductivity
Abstract
A threedimensional generalization of the wave function of Girvin et al. is constructed by taking the N>∞ limit of a solution of the twodimensional massless Dirac equation with an SU(N) gauge field. The resulting wave function is closely related to instanton solutions of the selfdual Einstein quations, and can be used to construct a multiparticle wave function with remarkable holonomy properties and a groundstate wave function with offdiagonal longrange order.
 Publication:

Physical Review Letters
 Pub Date:
 June 1991
 DOI:
 10.1103/PhysRevLett.66.3064
 Bibcode:
 1991PhRvL..66.3064C
 Keywords:

 Elementary Excitations;
 High Temperature Superconductors;
 Particle Theory;
 Three Dimensional Models;
 Wave Functions;
 Chiral Dynamics;
 Dirac Equation;
 Gauge Theory;
 Gravitational Waves;
 Ground State;
 Instantons;
 Statistical Mechanics;
 SolidState Physics;
 74.65.+n;
 05.30.d;
 73.50.Jt;
 74.20.z;
 Quantum statistical mechanics;
 Galvanomagnetic and other magnetotransport effects;
 Theories and models of superconducting state