Phase-fluctuation induced reduction of the kinetic energy at the superconducting transition

Abstract

Recent reflectivity measurements provide evidence for a "violation" of the in-plane optical integral in the underdoped high-T_c compound Bi_2Sr_2CaCu_2O_{8+δ} up to frequencies much higher than expected by standard BCS theory. The sum rule violation may be related to a loss of in-plane kinetic energy at the superconducting transition. Here, we show that a model based on phase fluctuations of the superconducting order parameter can account for this change of in-plane kinetic energy at T_c. The change is due to a transition from a phase-incoherent Cooper-pair motion in the pseudogap regime above T_c to a phase-coherent motion at T_c.

5 pages, 3 eps-figures

References in corpus (6)

• The onset of the vortex-like Nernst signal above Tc in La_{2-x}Sr_xCuO_4 and Bi_2Sr_{2-y}La_yCuO_6
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• Pair Phase Fluctuations and the Pseudogap
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Cited by in corpus (21)

• The in-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+d: energy scales and spectral weight distribution
• Kinetic-energy driven superconductivity in cuprate superconductors
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• Electromotive forces and the Meissner effect puzzle
• In-plane optical spectral weight transfer in optimally doped Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10}$
• Ward identity and optical-conductivity sum rule in the d-density wave state
• Optical-conductivity sum rule in cuprates and unconventional charge density waves: a short review
• Kinetic energy driven superconductivity, the origin of the Meissner effect, and the reductionist frontier
• Optical Sum Rule in Finite Bands
• Effect of orbital currents on the restricted optical sum rule
• Intraband Optical Spectral Weight in the presence of a van Hove singularity: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Kinetic Energy, Condensation Energy, Optical Sum Rule and Pairing Mechanism in High-Tc Cuprates
• Kinetic energy driven superconductivity and superfluidity
• Optical sum in Nearly Antiferromagnetic Fermi Liquid Model
• Impact of a finite cut-off for the optical sum rule in the superconducting state
• Change of quasiparticle dispersion in crossing T_c in the underdoped cuprates
• On kinetic energy stabilized superconductivity in cuprates
• Exact ground states for the four-electron problem in a two-dimensional finite Hubbard square system
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Precursor effects of the superconducting state caused by d-wave phase-fluctuations above Tc
• Optical Sum Rule anomalies in the High-Tc Cuprates