Cuprate superconductors: Universal properties and trends; evidence for Bose-Einstein condensation?

1994 ◽  
Vol 7 (3) ◽  
pp. 593-598 ◽  
Author(s):  
T. Schneider ◽  
M. H. Pedersen
Keyword(s):  
Cuprate Superconductors ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Universal Properties ◽  
Bose Einstein

scholarly journals What is strange about high-temperature superconductivity in cuprates?

2017 ◽  
Vol 31 (25) ◽  
pp. 1745005
Author(s):  
I. Božović ◽  
X. He ◽  
J. Wu ◽  
A. T. Bollinger
Keyword(s):  
Phase Diagram ◽  
Cuprate Superconductors ◽  
High Temperature Superconductivity ◽  
Einstein Condensation ◽  
Strongly Correlated ◽  
Bose Einstein Condensation ◽  
Ultimate Question ◽  
Underdoped Cuprates ◽  
Bose Einstein ◽  
Superconducting Parameters

Cuprate superconductors exhibit many features, but the ultimate question is why the critical temperature ([Formula: see text]) is so high. The fundamental dichotomy is between the weak-pairing, Bardeen–Cooper–Schrieffer (BCS) scenario, and Bose–Einstein condensation (BEC) of strongly-bound pairs. While for underdoped cuprates it is hotly debated which of these pictures is appropriate, it is commonly believed that on the overdoped side strongly-correlated fermion physics evolves smoothly into the conventional BCS behavior. Here, we test this dogma by studying the dependence of key superconducting parameters on doping, temperature, and external fields, in thousands of cuprate samples. The findings do not conform to BCS predictions anywhere in the phase diagram.

scholarly journals FURTHER EVIDENCE FOR LINEARLY-DISPERSIVE COOPER PAIRS

2006 ◽  
Vol 20 (17) ◽  
pp. 1067-1073 ◽  
Author(s):  
M. DE LLANO ◽  
J. J. VALENCIA
Keyword(s):  
Transition Temperature ◽  
Cuprate Superconductors ◽  
Einstein Condensation ◽  
Cooper Pairs ◽  
Condensate Fraction ◽  
Bose Einstein Condensation ◽  
Depth Data ◽  
Fraction Versus ◽  
Bose Einstein ◽  
Special Case

A recent Bose–Einstein condensation (BEC) model of several cuprate superconductors is based on bosonic Cooper pairs (CPs) moving in 3D with a quadratic energy-momentum (dispersion) relation. The 3D BEC condensate-fraction versus temperature formula poorly fits penetration-depth data for two cuprates in the range 1/2<T/Tc≤1 where Tc is the BEC transition temperature. We show how these fits are dramatically improved, assuming cuprates to be quasi-2D, and how equally good fits are obtained for conventional 3D and quasi-1D nanotube superconducting data, provided the correct linear CP dispersion is assumed in BEC at their assumed corresponding dimensionalities. This is offered as additional concrete empirical evidence for linearly-dispersive pairs in another recent BEC scenario of superconductors within which a BCS condensate turns out to be a very special case.

scholarly journals Pre-formed Cooper pairs and Bose–Einstein condensation in cuprate superconductors

2002 ◽  
Vol 63 (12) ◽  
pp. 2365-2368
Author(s):  
M. Casas ◽  
M. de Llano ◽  
A. Puente ◽  
A. Rigo ◽  
M.A. Solı́s
Keyword(s):  
Cuprate Superconductors ◽  
Einstein Condensation ◽  
Cooper Pairs ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Two-dimensional Bose-Einstein condensation in cuprate superconductors

2002 ◽  
Vol 123 (3-4) ◽  
pp. 101-106 ◽  
Author(s):  
M. Casas ◽  
M. de Llano ◽  
A. Puente ◽  
A. Rigo ◽  
M.A. Solı́s
Keyword(s):  
Cuprate Superconductors ◽  
Einstein Condensation ◽  
Two Dimensional ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Generalized BCS-Bose Crossover Picture of Superconductivity

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3271-3276
Author(s):  
J. Batle ◽  
M. Casas ◽  
M. de Llano ◽  
M. Fortes ◽  
F. J. Sevilla
Keyword(s):  
First Principles ◽  
Cuprate Superconductors ◽  
Cooper Pair ◽  
Interaction Mechanism ◽  
Bcs Theory ◽  
Einstein Condensation ◽  
Phonon Interaction ◽  
Electron Hole ◽  
Bose Einstein Condensation ◽  
Bose Einstein

A recent unification of the BCS theory with that of the Bose–Einstein condensation (BEC) through a "complete" boson-fermion model is discussed as a generalization of the "BCS-Bose crossover" picture of superconductivity. Good first-principles Tc predictions in 2D are calculated with no adjustable parameters for the so-called "exotic" cuprate superconductors of the "Uemura plot", without abandoning the phonon interaction mechanism. The only condition is that one depart moderately from the perfect electron-/hole-Cooper-pair symmetry to which BCS (as well as the "crossover") theory are restricted by construction.

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