Exponential decay of equal-time four-point correlation functions in the Hubbard model on the copper-oxide lattice

2012/04/29 by Yohei Kashima, Kashima, Yohei
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.1204.6470

openalex publication_date 2012/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the Hubbard model on the two-dimensional copper-oxide lattice, equal-time four-point correlation functions at positive temperature are proved to decay exponentially in the thermodynamic limit if the magnitude of the on-site interactions is smaller than some power of temperature. This result especially implies that the equal-time correlation functions for singlet Cooper pairs of various symmetries decay exponentially in the distance between the Cooper pairs in high temperatures or in low-temperature weak-coupling regimes. The proof is based on a multi-scale integration over the Matsubara frequency.

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