scholarly journals Cooper Pair Formation in U(1) Gauge Theory of High Temperature Superconductivity

2001 ◽  
Vol 70 (2) ◽  
pp. 509-512
Author(s):  
Atsuya Kumagai ◽  
Masahiko Hayashi ◽  
Hiromichi Ebisawa
Keyword(s):  
High Temperature ◽  
Gauge Theory ◽  
Cooper Pair ◽  
High Temperature Superconductivity ◽  
Pair Formation

scholarly journals GINZBURG–LANDAU LIKE THEORY OF HIGH TEMPERATURE SUPERCONDUCTIVITY IN THE CUPRATES: EMERGENT d-WAVE ORDER

2012 ◽  
Vol 26 (10) ◽  
pp. 1230005
Author(s):  
T. V. RAMAKRISHNAN
Keyword(s):  
High Temperature ◽  
Cooper Pair ◽  
Nearest Neighbor ◽  
High Temperature Superconductivity ◽  
Transition Curve ◽  
Hole Doping ◽  
Positive Interaction ◽  
Long Wavelength ◽  
Spin Singlet ◽  
D Wave

High temperature superconductivity in the cuprates remains one of the most widely investigated, constantly surprising and poorly understood phenomena in physics. Here, we describe briefly a new phenomenological theory inspired by the celebrated description of superconductivity due to Ginzburg and Landau and believed to describe its essence. This posits a free energy functional for the superconductor in terms of a complex order parameter characterizing it. We propose that there is, for superconducting cuprates, a similar functional of the complex, in plane, nearest neighbor spin singlet bond (or Cooper) pair amplitude ψij. Further, we suggest that a crucial part of it is a (short range) positive interaction between nearest neighbor bond pairs, of strength J′. Such an interaction leads to nonzero long wavelength phase stiffness or superconductive long range order, with the observed d-wave symmetry, below a temperature Tc~z J′ where z is the number of nearest neighbors; d-wave superconductivity is thus an emergent, collective consequence. Using the functional, we calculate a large range of properties, e.g., the pseudogap transition temperature T* as a function of hole doping x, the transition curve Tc(x), the superfluid stiffness ρs(x, T), the specific heat (without and with a magnetic field) due to the fluctuating pair degrees of freedom and the zero temperature vortex structure. We find remarkable agreement with experiment. We also calculate the self-energy of electrons hopping on the square cuprate lattice and coupled to electrons of nearly opposite momenta via inevitable long wavelength Cooper pair fluctuations formed of these electrons. The ensuing results for electron spectral density are successfully compared with recent experimental results for angle resolved photo emission spectroscopy (ARPES), and comprehensively explain strange features such as temperature dependent Fermi arcs above Tc and the "bending" of the superconducting gap below Tc.

scholarly journals The phonon-quadrupole mechanism of superconducting pair formation in high-temperature superconductivity

2005 ◽  
Vol 26 (4) ◽  
Author(s):  
А.П. Шпак ◽  
А.С. Литовченко ◽  
О.А. Калініченко
Keyword(s):  
High Temperature ◽  
High Temperature Superconductivity ◽  
Pair Formation

scholarly journals The Needle in the Haystack for Theory of High Temperature Superconductivity: Negative Nuclear Magnetic Moments

2018 ◽  
Author(s):  
Reginald Little
Keyword(s):  
High Temperature ◽  
Room Temperature ◽  
Cooper Pair ◽  
High Temperature Superconductivity ◽  
Magnetic Moments ◽  
High Energy ◽  
Cooper Pairs ◽  
Nuclear Magnetic Moments ◽  
Relativistic Scattering ◽  
Nuclear Magnetic

This work outlines a theory for explaining high temperature superconductivity on the basis of relativistic scattering of Cooper pairs via beyond room temperature conditions causing high energy relativistic scattering of Cooper pairs with nuclei having positive and negative nuclear magnetic moments for fractionally reversibly fissing and fusing the nuclei for manifesting in the electronic lattice for altered quantum fields for more tightly binding the Cooper pair beyond the conventional critical temperature 40K limit for superconductivity beyond room temperature.

scholarly journals The Needle in the Haystack for Theory of High Temperature Superconductivity: Negative Nuclear Magnetic Moments

2018 ◽  
Author(s):  
Reginald Little
Keyword(s):  
High Temperature ◽  
Room Temperature ◽  
Cooper Pair ◽  
High Temperature Superconductivity ◽  
Magnetic Moments ◽  
High Energy ◽  
Cooper Pairs ◽  
Nuclear Magnetic Moments ◽  
Relativistic Scattering ◽  
Nuclear Magnetic

This work outlines a theory for explaining high temperature superconductivity on the basis of relativistic scattering of Cooper pairs via beyond room temperature conditions causing high energy relativistic scattering of Cooper pairs with nuclei having positive and negative nuclear magnetic moments for fractionally reversibly fissing and fusing the nuclei for manifesting in the electronic lattice for altered quantum fields for more tightly binding the Cooper pair beyond the conventional critical temperature 40K limit for superconductivity beyond room temperature.

scholarly journals A Dielectric Approach to High Temperature Superconductivity

1989 ◽  
Vol 42 (5) ◽  
pp. 541 ◽  
Author(s):  
J Mahanty ◽  
MP Das
Keyword(s):  
High Temperature ◽  
Sound Velocity ◽  
Dielectric Function ◽  
Dielectric Response ◽  
High Temperature Superconductivity ◽  
Pair Formation

In this paper we investigate the dielectric response of an electron-ion system to the presence of a pair of charges. From the nature of the dielectric function, it Is shown that a strong attractive pair formation is possible depending on the dispersion of the ion branches. The latter brings a reduction to the sound velocity which is used as a criterion for the superconductivity. By solving the BCS equation with the above dielectric function, we obtain a reasonable value of Te.

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