Premium
Quantum dynamical manifolds. 4. High‐temperature superconductors
Author(s) -
Collins T. C.,
Scofield D. F.
Publication year - 2000
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/1097-461x(2000)80:3<341::aid-qua7>3.0.co;2-d
Subject(s) - physics , gauge theory , superconductivity , degrees of freedom (physics and chemistry) , antiferromagnetism , pairing , quantum , theoretical physics , quantum mechanics , condensed matter physics
A self‐consistent, non‐Abelian gauge theory is developed for high‐temperature superconductors (HTSCs). As a physical example, a spontaneously broken ( SO (4)⊃ SO (3)× U (1)) ×3 gauge theory is described that includes excitonic and antiferromagnetic boson exchange pairing forces for the interacting superconducting and antiferromagnetic phases of the soft superconductor YBa 2 Cu 3 O 7− x . A new differential geometric approach for generating quantum dynamical manifolds, called quantum dynamical manifold theory (QDMT) is used to compute the quantum geometry of these systems. It is shown how geometric conditions applied to the quasi‐particle system can be used to determine self‐consistent, self‐gauge fields (SC‐SGFs) and fix the coupling constants to reduce the calculational number of degrees of freedom of such many‐body systems. The resulting theory is formulated in a way that real crystal quasi‐particle basis sets are used. This work raises the hope that ab initio property calculation and systematic exploration of different mechanisms for HTSCs will become possible. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 80: 341–368, 2000