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Nonexistence ofdx2−y2superconductivity in the Hubbard model

1998/01/23 by Gang Su, Masuo Suzuki
Materials Science · Physics and Astronomy · #Atomic physics #Condensed matter physics #Coulomb #Electron #Excited state #Organic and Molecular Conductors Research #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.58.117

published as Phys. Rev. B58 (1998) 117 · Revtex, 10 pages, no figure

arxiv created 1998/01/23 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is rigorously shown that the two-dimensional Hubbard model with narrow bands (including next-nearest-neighbor hopping, etc.) does not exhibit d_x2\ensuremath-y2-wave pairing long-range order at any nonzero temperature. This kind of pairing long-range order will also be excluded at zero temperature if an excited energy gap opens in the charge excitation spectrum of the system. These results hold true for both repulsive and attractive Coulomb interactions and for any electron fillings, and are consistent with quantum Monto Carlo calculations.

Citations