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Quantum Monte Carlo Evidence for d-wave Pairing in the 2D Hubbard Model at a van Hove Singularity

T. Husslein·I. Morgenstern·D. M. Newns·P. C. Pattnaik·J. M. Singer·H. G. Matuttis
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Abstract

We implement a Quantum Monte Carlo calculation for a repulsive Hubbard model with nearest and next-nearest neighbor hopping interactions on clusters up to 12x12. A parameter region where the Fermi level lies close to the van Hove singularity at the Saddle Points in the bulk band structure is investigated. A pairing tendency in the $d_{x^2-y^2}$ symmetry channel, but no other channel, is found. Estimates of the effective pairing interaction show that it is close to the value required for a 40 K superconductor. Finite-size scaling compares with the attractive Hubbard model.

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T. Husslein, I. Morgenstern, D. M. Newns, P. C. Pattnaik, J. M. Singer, H. G. Matuttis. 1996-08-07. Quantum Monte Carlo Evidence for d-wave Pairing in the 2D Hubbard Model at a van Hove Singularity. https://doi.org/10.1103/physrevb.54.16179

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