Pairing Fluctuations Determine Low Energy Electronic Spectra in Cuprate Superconductors

Details Pairing Fluctuations Determine Low Energy Electronic Spectra in Cuprate Superconductors Pairing Fluctuations Determine Low Energy Electronic Spectra in Cuprate Superconductors

2010-11-20

arxiv.org/abs/1011.4543v2

Phys. Rev. B 84, 144525 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 8 figures (to appear in Phys. Rev. B)

Scientific paper

We describe here a minimal theory of tight binding electrons moving on the square planar Cu lattice of the hole-doped cuprates and mixed quantum mechanically with pairs of them (Cooper pairs). Superconductivity occurring at the transition temperature T_c is the long-range, d-wave symmetry phase coherence of these Cooper pairs. Fluctuations necessarily associated with incipient long-range superconducting order have a generic large distance behaviour near T_c. We calculate the spectral density of electrons coupled to such Cooper pair fluctuations and show that features observed in Angle Resolved Photo Emission Spectroscopy (ARPES) experiments on different cuprates above T_c as a function of doping and temperature emerge naturally in this description. These include `Fermi arcs' with temperature-dependent length and an antinodal pseudogap which fills up linearly as the temperature increases towards the pseudogap temperature. Our results agree quantitatively with experiment. Below T_c, the effects of nonzero superfluid density and thermal fluctuations are calculated and compared successfully with some recent ARPES experiments, especially the observed `bending' or deviation of the superconducting gap from the canonical d-wave form.

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