High-temperature superconductivity in strongly correlated electronic systems

Dunne, Lawrence J, Brändas, Erkki J and Cox, Hazel (2016) High-temperature superconductivity in strongly correlated electronic systems. In: Advances in Quantum Chemistry. Advances in Quantum Chemistry, 74 . Elsevier, pp. 183-208. ISBN 9780128099889

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In this chapter we give a selective review of our work on the role of electron correlation in the theory of high-temperature superconductivity (HTSC). The question of how electronic repulsions might give rise to off-diagonal long-range order (ODLRO) in high-temperature superconductors is currently one of the key questions in the theory of condensed matter. This chapter argues that the key to understanding the occurrence of {HTSC} in cuprates is to be found in the Bohm–Pines Hamiltonian, modified to include a polarizable dielectric background. The approach uses reduced electronic density matrices and discusses how these can be used to understand whether {ODLRO} giving rise to superconductivity might arise from a Bohm–Pines-type potential which is comprised of a weak long-range attractive tail and a much stronger short-range repulsive Coulomb interaction. This allows time-reversed electron pairs to undergo a superconducting condensation on alternant cuprate lattices. Thus, a detailed summary is given of the arguments that such interacting electrons can cooperate to produce a superconducting state in which time-reversed pairs of electrons effectively avoid the repulsive hard-core of the interelectronic Coulomb interaction but reside on average in the attractive well of the effective potential. In a superconductor the plasma wave function becomes the longitudinal component of a massive photon by the Anderson–Higgs mechanism. The alternant cuprate lattice structure is the key to achieving {HTSC} in cuprates with d x 2 − y 2 symmetry condensate symmetry.

Item Type: Book Section
Keywords: Condensate wave function, electron correlation, superconductivity
Schools and Departments: School of Life Sciences > Chemistry
Subjects: Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Q Science > QD Chemistry > QD0450 Physical and theoretical chemistry
Depositing User: Hazel Cox
Date Deposited: 05 Oct 2016 07:18
Last Modified: 18 Jan 2018 15:36
URI: http://sro.sussex.ac.uk/id/eprint/63972

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