scholarly journals Collapse of the Cooper pair phase coherence length at a superconductor-to-insulator transition

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
S. M. Hollen ◽  
G. E. Fernandes ◽  
J. M. Xu ◽  
J. M. Valles
Keyword(s):  
Coherence Length ◽  
Cooper Pair ◽  
Phase Coherence ◽  
Insulator Transition

scholarly journals Superconducting coherence length of hole-doped cuprates obtained from electron–boson spectral density function

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jungseek Hwang
Keyword(s):  
Spectral Density ◽  
Coherence Length ◽  
Cooper Pair ◽  
Average Frequency ◽  
Spin Fluctuations ◽  
Fermi Velocity ◽  
Cooper Pairs ◽  
Spectroscopic Techniques ◽  
Microscopic Mechanism ◽  
Superconducting Coherence Length

AbstractElectron–boson spectral density functions (EBSDFs) can be obtained from measured spectra using various spectroscopic techniques, including optical spectroscopy. EBSDFs, known as glue functions, are suggested to have a magnetic origin. Here, we investigated EBSDFs obtained from the measured optical spectra of hole-doped cuprates with wide doping levels, from underdoped to overdoped cuprates. The average frequency of an EBSDF provides the timescale for the spin fluctuations to form Cooper pairs. This timescale is directly associated with retarded interactions between electrons. Using this timescale and Fermi velocity, a reasonable superconducting coherence length, which reflects the size of the Cooper pair, can be extracted. The obtained coherence lengths were consistent with those measured via other experimental techniques. Therefore, the formation of Cooper pairs in cuprates can be explained by spin fluctuations, the timescales of which appear in EBSDFs. Consequently, EBSDFs provide crucial information on the timescale of the microscopic mechanism of Cooper pair formation.

scholarly journals Direct Measurementof the Phase-Coherence Length in aGaAs/GaAlAsSquareNetwork

2004 ◽  
Vol 93 (24) ◽  
Author(s):  
M. Ferrier ◽  
L. Angers ◽  
A. C. H. Rowe ◽  
S. Guéron ◽  
H. Bouchiat ◽  
...  
Keyword(s):  
Coherence Length ◽  
Phase Coherence

Electron phase coherence length in a lattice of antidots

2001 ◽  
Vol 298 (1-4) ◽  
pp. 287-290 ◽  
Author(s):  
A Pouydebasque ◽  
A.G Pogosov ◽  
M.V Budantsev ◽  
D.K Maude ◽  
A.E Plotnikov ◽  
...  
Keyword(s):  
Coherence Length ◽  
Phase Coherence

Coherence Length in a Two-Dimensional Anisotropic Model of Superconductivity

1998 ◽  
Vol 12 (32) ◽  
pp. 3475-3483 ◽  
Author(s):  
L. Bujkiewicz ◽  
L. Jacak
Keyword(s):  
Coherence Length ◽  
Order Parameter ◽  
Cooper Pair ◽  
Mean Square ◽  
Two Dimensional ◽  
Anisotropic Model ◽  
Wide Range ◽  
Order Of Magnitude ◽  
Range Of Values

The coherence length as a mean-square radius of a Cooper pair is calculated for various forms of the anisotropic order parameter. A wide range of values of this quantity is obtained and the smallest values are of the order of magnitude of a few lattice spacings.

scholarly journals Phase Coherence, Visibility, and the Superfluid–Mott-Insulator Transition on One-Dimensional Optical Lattices

2005 ◽  
Vol 95 (22) ◽  
Author(s):  
P. Sengupta ◽  
M. Rigol ◽  
G. G. Batrouni ◽  
P. J. H. Denteneer ◽  
R. T. Scalettar
Keyword(s):  
Optical Lattices ◽  
Mott Insulator ◽  
Phase Coherence ◽  
Insulator Transition ◽  
One Dimensional

scholarly journals Superconducting Coherence Length of Hole-doped Cuprates Obtained From Electron-boson Spectral Density Function

2021 ◽  
Author(s):  
Jungseek Hwang
Keyword(s):  
Spectral Density ◽  
Coherence Length ◽  
Cooper Pair ◽  
Average Frequency ◽  
Spin Fluctuations ◽  
Fermi Velocity ◽  
Cooper Pairs ◽  
Spectroscopic Techniques ◽  
Microscopic Mechanism ◽  
Superconducting Coherence Length

Abstract Electron{boson spectral density functions (EBSDFs) can be obtained from measured spectra using various spectroscopic techniques, including optical spectroscopy. EBSDFs, known as glue functions, have a magnetic origin. Here, we investigated EBSDFs obtained from the measured optical spectra of hole-doped cuprates with wide doping levels, from underdoped to overdoped cuprates. The average frequency of an EBSDF provides the timescale for the spin fluctuations to form Cooper pairs. This timescale is directly associated with retarded interactions betweenelectrons. Using this timescale and Fermi velocity, a reasonable superconducting coherence length, which reflects the size of the Cooper pair, can be extracted. The obtained coherence lengths were consistent with those measured via other experimental techniques. Therefore, the formation of Cooper pairs in cuprates can be explained by spin fluctuations, the timescales of which appear in EBSDFs. Consequently, EBSDFs provide crucial information on the timescale of the microscopic mechanism of Cooper pair formation.

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