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Dunne, LJ; Brändas, EJ; Cox, H (2016)
Publisher: Elsevier
Languages: English
Types: Article
Subjects: Teoretisk kemi, Theoretical Chemistry

Classified by OpenAIRE into

arxiv: Condensed Matter::Superconductivity
Abstract In this paper we give a selective review of our work on the role of electron correlation in the theory of high temperature superconductivity. 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 paper argues that the key to understanding the occurrence of high temperature superconductivity (HTSC) in cuprates is to be found in the Bohm-Pines Hamiltonian modified to include a polarisable 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 inter-electronic 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 dx2-y2 symmetry condensate symmetry.
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    • px-px (or py-py) orbitals, between 12Neven Barišić, Mun K. Chan, Yuan Li, Guichuan Yu, Xudong Zhao, Martin Dressel, Ana Smontara, Martin Greven, Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors Proc. Natl. Acad. Sci. USA 2013, 110 30, 12235-12240 doi:10.1073/pnas.1301989110
    • 13 For a good review of early work see Leggett, A. J. Quantum Liquids; Oxford University Press: New York, 2006.
    • 14 see eg BCS: 50 Years, World Scientific Publishing Co. Pte. Ltd 2011 Edited by Leon N Takagi, H. and Gopalakrishnan, J. and Sleight, A. W. and Subramanian, M. A. and Chien, C. L. and Cieplak, M. Z. and Xiao, Gang and Lee, V. Y. and Statt, B. W. and Stronach, C. E. and Kossler, W. J. and Yu, X. H Universal Correlations between Tc and ns/m∗ (Carrier Density over Effective Mass) in HighTc Cuprate Superconductors Phys. Rev. Lett. 1989, 62, 2317-2320
    • 58 Löwdin, P.-O Band Theory, Valence Band Tight-Binding Calculations. J. Appl. Phys. 1962, 33, 251-280,
    • 59 P.-O. Löwdin, Linear Algebra for Quantum Theory (WileyInterscience, New York, 1998).
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