Quantum critical spin liquids and conformal field theory in 2+1 dimensions

Physics – Condensed Matter – Strongly Correlated Electrons

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21 pages, version 2: expanded discussion on possible applications to superconductivity, which shows a two-band theory with som

Scientific paper

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.

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