Portal de Periódicos da CAPES

A plasma analogy and Berry matrices for non-abelian quantum Hall states

1997; Elsevier BV; Volume: 506; Issue: 3 Linguagem: Inglês

10.1016/s0550-3213(97)00612-3

1873-1562

Victor Gurarie, Chetan Nayak,

Graphene research and applications

We present an approach to the computation of the non-abelian statistics of quasiholes in quantum Hall states, such as the Pfaffian state, whose wavefunctions are related to the conformal blocks of minimal model conformal field theories. We use the Coulomb gas construction of these conformal field theories to formulate a plasma analogy for the quantum Hall states. A number of properties of the Pfaffian state follow immediately, including the Berry phases, which demonstrate the quasiholes' fractional charge, the abelian statistics of the two-quasihole state, and equal-time ground state correlation functions. The non-abelian statistics of multi-quasihole states follows from an additional assumption.