Resilience ofd-wave superconductivity to nearest-neighbor repulsion

2012/12/18 by D. Sénéchal, David Sénéchal, Alexandre G. R. Day +4 · 60 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Coupling (piping) #Cuprate #Hubbard model #Magnetic and transport properties of perovskites and related materials #Materials science #Pairing #Physics #Physics of Superconductivity and Magnetism #Pseudogap #Quantum mechanics #Superconductivity #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.87.075123

published in Physical Review B 87(7) (American Physical Society)

arxiv created 2012/12/18 · openalex publication_date 2013/02/19 · arxiv updated 2013/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Many theoretical approaches find d-wave superconductivity in the prototypical one-band Hubbard model for high-temperature superconductors. At strong coupling (U\ensuremath≥W, where U is the on-site repulsion and W=8t the bandwidth) pairing is controlled by the exchange energy J=4t²/U. One may then surmise, ignoring retardation effects, that near-neighbor Coulomb repulsion V will destroy superconductivity when it becomes larger than J, a condition that is easily satisfied in cuprates, for example. Using cellular dynamical mean-field theory with an exact diagonalization solver for the extended Hubbard model, we show that pairing at strong coupling is preserved, even when V\ensuremath≫J, as long as V\ensuremath\lesssimU/2. While at weak coupling V always reduces the spin fluctuations and hence d-wave pairing, at strong coupling, in the underdoped regime, the increase of J=4t²/(U\ensuremath-V) caused by V increases binding at low frequency while the pair-breaking effect of V is pushed to high frequency. These two effects compensate in the underdoped regime, in the presence of a pseudogap. While the pseudogap competes with superconductivity, the proximity to the Mott transition that leads to the pseudogap, and retardation effects, protect d-wave superconductivity from V.

Citations

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