Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids

Details Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids

2005-01-03

arxiv.org/abs/cond-mat/0501022v4

Phys.Rev.Lett. 95 (2005) 176406

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages; 1 figure; v4: version accepted for publication in PRL. Additional material: the detailed derivation of the RG equatio

Scientific paper

10.1103/PhysRevLett.95.176406

Compact quantum electrodynamics in 2+1 dimensions often arises as an effective theory for a Mott insulator, with the Dirac fermions representing the low-energy spinons. An important and controversial issue in this context is whether a deconfinement transition takes place. We perform a renormalization group analysis to show that deconfinement occurs when $N>N_c=36/\pi^3\approx 1.161$, where $N$ is the number of fermion replica. For $N

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