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

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dc.creatorNogueira, Flavio S.
dc.creatorKleinert, Hagen
dc.date2005-01-03
dc.date2005-09-09
dc.date.accessioned2026-07-07T06:22:27Z
dc.date.available2026-07-07T06:22:27Z
dc.descriptionCompact 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 $N>N_c=36/π^3\approx 1.161$, where $N$ is the number of fermion replica. For $N<N_c$, however, there are two stable fixed points separated by a line containing a unstable non-trivial fixed point: a fixed point corresponding to the scaling limit of the non-compact theory, and another one governing the scaling behavior of the compact theory. The string tension associated to the confining interspinon potential is shown to exhibit a universal jump as $N\to N_c^-$. Our results imply the stability of a spin liquid at the physical value N=2 for Mott insulators.
dc.description4 pages; 1 figure; v4: version accepted for publication in PRL. Additional material: the detailed derivation of the RG equations appearing in this preprint can be downloaded from http://www.physik.fu-berlin.de/~nogueira/cqed3.html
dc.identifierhttps://arxiv.org/abs/cond-mat/0501022
dc.identifierhttp://arxiv.org/abs/cond-mat/0501022
dc.identifierPhys.Rev.Lett. 95 (2005) 176406
dc.identifierdoi:10.1103/PhysRevLett.95.176406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95916
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
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