Volume 77, Number 4, February 2007
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||12 February 2007|
Vortex-boson duality in four space-time dimensions
Department of Physics and Astronomy, University of British Columbia - Vancouver, BC, V6T 1Z1 Canada
Accepted: 21 December 2006
A continuum version of the vortex-boson duality in (3+1) dimensions is formulated and its implications studied in the context of a pair Wigner crystal in underdoped cuprate superconductors. The dual theory to a phase fluctuating superconductor (or superfluid) is shown to be a theory of bosonic strings interacting through a Kalb-Ramond rank-2 tensorial gauge field. String condensation produces Higgs mass for the gauge field and the expected Wigner crystal emerges as an interesting space-time analog of the Abrikosov lattice.
PACS: 74.72.-h – Cuprate superconductors (high-Tc and insulating parent compounds) / 74.20.-z – Theories and models of superconducting state / 11.25.Tq – Gauge/string duality
© Europhysics Letters Association, 2007
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