Quantum critical spin liquids and conformal field theory in 2+1 dimensions
Abstract
We describe new conformal field theories based on symplectic fermions that can be extrapolated between 2 and 4 dimensions. The critical exponents depend continuously on the number of components N of the fermions and the dimension D. In the context of anti-ferromagnetism, the N=2 theory is proposed to describe a deconfined quantum critical spin liquid corresponding to a transition between a Neel ordered phase and a VBS-like phase.
Keywords
Cite
@article{arxiv.cond-mat/0610639,
title = {Quantum critical spin liquids and conformal field theory in 2+1 dimensions},
author = {André LeClair},
journal= {arXiv preprint arXiv:cond-mat/0610639},
year = {2007}
}
Comments
21 pages, version 2: expanded discussion on possible applications to superconductivity, which shows a two-band theory with some BCS-like pairing interactions; a few references added, typos corrected, version 3: minor changes, version submitted for publication to JSTAT. version 4: For sake of clarity, this version focuses only on possible applications to deconfined quantum criticality; all the Ising model discussion is contained in cond-mat/0610817