Equivalence of Two Types of Singlet Wave Functions for the Triangular Lattice Antiferromagnet

Abstract

A one-body problem on the triangular lattice is solved in the presence of a fictitious magnetic field which produces a quarter of a flux quantum through each triangle. Then it is shown explicitly that the fractional quantum Hall wave function for a ground state of the s=1⁄2 triangular lattice antiferromagnet is equivalent to a variational singlet wave function written by a pair of determinants which are made out of eigenfunctions of the one-body problem.