Portal de Periódicos da CAPES

Equivalence of fractional quantum Hall and resonating-valence-bond states on a square lattice

1989; American Physical Society; Volume: 39; Issue: 16 Linguagem: Inglês

10.1103/physrevb.39.11424

1095-3795

Zheguang Zou, Benoît Douçot, B. Sriram Shastry,

Atomic and Subatomic Physics Research

We show that a fractional quantum Hall state is equivalent to one particular resonating-valence-bond (RVB) state, the ``flux phase'' on a square lattice. The fictitious magnetic flux is dynamically generated in the RVB state. The fractional quantum Hall wave function for the flux phase is explicitly shown to be a singlet.