Phase Fluctuations and Spectral Properties of Underdoped Cuprates

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We consider the effect of classical phase fluctuations on the quasiparticle spectra of underdoped high-$T_c$ cuprate superconductors in the pseudogap regime above $T_c$. We show that photoemission and tunneling spectroscopy data are well accounted for by a simple model in which mean field d-wave quasiparticles are semiclasically coupled to supercurrents induced by fluctuating unbound vortex-antivortex pairs. We argue that the data imply that transverse phase fluctuations are important at temperatures above $T_c$, while longitudinal fluctuations are unimportant at all temperatures.
8 pages REVTeX, 3 figures included. Final version to appear in Dec. 1 PRB; extensive discussion of the validity of the model and other clarifying remarks added

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