1993/10/14 by Xiao-Gang Wen, Xia-Gang Wen, Yong-Shi Wu · 4 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena #cond-mat #hep-th
paper · pdf · doi:10.1016/0550-3213(94)90340-9
published as Nucl. Phys. B, 419, 455 (1994) · 32 pages, Plain TeX, MIT preprint
arxiv created 1993/10/14 · openalex publication_date 1994/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we study the conditions under which an N-electron wave function for a fractional quantum Hall (FQH) state can be viewed as N-point correlation function in a conformal field theory (CFT). Several concrete examples are presented to illustrate, when these condition are satisfied, how to ``derive'' or ``uncover'' relevant operator algebra in the associated CFT from the FQH wave function. Besides the known Pfaffian state, the states studied here include three d-wave paired states, one for spinless electrons and two for spin-1/2 electrons (one of them is the Haldane-Rezayi state). It is suggested that the non-abelian topological order hidden in these states can be characterized by their associated chiral operator product algebra, from which one may infer the quantum numbers of quasi-particles and calculate their wave functions.