2015
DOI: 10.1088/1742-5468/2015/03/p03002
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d-Wave pairing driven by bipolaric modes related to giant electron–phonon anomalies in high-Tc superconductors

Abstract: Taking into account microscopic properties of most usual high-T c superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the two-dimensional square lattice. We establish that these model Hamiltonians can show d-wave paring at the bottom of their spectrum, despite their space isotropy. This phenomenon appear when a "giant electron-phonon anomaly" is present at the boundaries of the Brillouin zone ("half breathing" bo… Show more

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Cited by 1 publication
(19 citation statements)
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“…A first mathematical result in this direction has been obtained in ref. [] for an isotropic model including a bipolaron–fermion (exchange) interaction and the on‐site Coulomb repulsion. In this model, we analytically show the existence of a pure d ‐wave pairing, in the strong coupling limit.…”
Section: Experimental Foundations Of Our Microscopic Approachmentioning
confidence: 99%
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“…A first mathematical result in this direction has been obtained in ref. [] for an isotropic model including a bipolaron–fermion (exchange) interaction and the on‐site Coulomb repulsion. In this model, we analytically show the existence of a pure d ‐wave pairing, in the strong coupling limit.…”
Section: Experimental Foundations Of Our Microscopic Approachmentioning
confidence: 99%
“…By contrast, in the present study we fix the parameters according to experimental data, and the definition used for the fermion pair annihilation operator cx captures the physics of JT bipolarons in copper oxides in a more realistic way than in ref. []. We then study the model by rigorous semi‐analytical methods, meaning that they are partially numerical, but always rigorously controlled.…”
Section: Experimental Foundations Of Our Microscopic Approachmentioning
confidence: 99%
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