d-Wave Pairing Driven by Bipolaric Modes Related to Giant Electron-Phonon Anomalies in High-$T_{c}$ Superconductors
| Autor: | Walter de Siqueira Pedra, Antonio Delgado de Pasquale, Jean-Bernard Bru |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Physics Superconductivity Bipolaron Condensed matter physics Condensed Matter - Superconductivity FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Fermion Square lattice Superconductivity (cond-mat.supr-con) Brillouin zone Pairing Condensed Matter::Superconductivity Hubbard model (theory) quantum phase transitions (theory) Condensed Matter::Strongly Correlated Electrons rigorous results in statistical mechanics Statistics Probability and Uncertainty Anomaly (physics) Mathematical Physics Boson |
| Zdroj: | BIRD: BCAM's Institutional Repository Data instname |
| Popis: | 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" bond-stretching mode), like in doped cuprates. Our results can be used to derive effective electron-electron interactions mediated by bipolarons and we discuss regimes where the corresponding model is relevant for the physics of high-temperature superconductivity and can be mathematically rigorously studied. Keywords: High Tc, Superconductivity, Hubbard model, BCS model, d-wave, s-wave, Bipolaron |
| Databáze: | OpenAIRE |
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