Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ;
Volume Designation
121
CONTENTS NOTE
Text of Note
Superconducting Transition -- Bloch Electrons -- Phonon-Exchange Attraction -- Quantum Statistical Theory -- Cooper Pairs (Pairons) -- Superconductors at 0 K -- Quantum Statistics of Composites -- Bose-Einstein Condensation -- The Energy Gap Equations -- Pairon Energy Gaps. Heat Capacity -- Quantum Tunneling -- Flux Quantization -- Ginzburg-Landau Theory -- Josephson Effects -- Compound Superconductors -- Lattice Structures of Cuprates -- High-Tc Superconductors Below Tc -- Doping Dependence of Tc -- Transport Properties Above Tc -- Out-of-Plane Transport -- Seebeck Coefficient (Thermopower) -- Magnetic Susceptibility -- Infrared Hall Effect -- d-Wave Cooper Pairs -- Connection with Other Theories -- Summary and Remarks.
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SUMMARY OR ABSTRACT
Text of Note
Flux quantization experiments indicate that the carriers, Cooper pairs (pairons), in the supercurrent have charge magnitude 2e, and that they move independently. Josephson interference in a Superconducting Quantum Int- ference Device (SQUID) shows that the centers of masses (CM) of pairons move as bosons with a linear dispersion relation. Based on this evidence we develop a theory of superconductivity in conventional and mate- als from a unified point of view. Following Bardeen, Cooper and Schrieffer (BCS) we regard the phonon exchange attraction as the cause of superc- ductivity. For cuprate superconductors, however, we take account of both optical- and acoustic-phonon exchange. BCS started with a Hamiltonian containing "electron" and "hole" kinetic energies and a pairing interaction with the phonon variables eliminated. These "electrons" and "holes" were introduced formally in terms of a free-electron model, which we consider unsatisfactory. We define "electrons" and "holes" in terms of the cur- tures of the Fermi surface. "Electrons" (1) and "holes" (2) are different and so they are assigned with different effective masses: Blatt, Schafroth and Butler proposed to explain superconductivity in terms of a Bose-Einstein Condensation (BEC) of electron pairs, each having mass M and a size. The system of free massive bosons, having a quadratic dispersion relation: and moving in three dimensions (3D) undergoes a BEC transition at where is the pair density.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781402001499
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Chemistry, Physical and theoretical.
Chemistry, Physical and theoretical.
Condensed matter.
Dynamics.
Physics.
Physics.
Statistical physics.
Condensed Matter Physics.
Statistical Physics, Dynamical Systems and Complexity.