Pairing Correlations in the Two-Dimensional Hubbard Model

1997/03/02 by Shiwei Zhang, J. Carlson, J. E. Gubernatis · 5 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Hubbard model #Lattice (music) #Mathematics #Monte Carlo method #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Statistics #Superconductivity #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.78.4486

published as Phys. Rev. Lett. 78, 4486 (1997) · 4 pages, RevTex, 4 figures included; submitted to Phys. Rev. Lett

arxiv created 1997/03/02 · openalex publication_date 1997/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present the results of a quantum Monte Carlo study of the extended s and the d_x²\ensuremath-y² pairing correlation functions for the two-dimensional Hubbard model, computed with the constrained-path Monte Carlo method. For small lattice sizes and weak interactions, we find that the d_x²\ensuremath-y² pairing correlations are stronger than the extended s pairing correlations and are positive when the pair separation exceeds several lattice constants. As the system size or the interaction strength increases, the magnitude of the long-range part of both correlation functions vanishes.

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