Finite Size Scaling in thett'-Hubbard Model and in BCS-Reduced Hubbard Models

W. Fettes () and I. Morgenstern
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W. Fettes: Fakultät Physik, Universität Regensburg, D-93040 Regensburg, Germany
I. Morgenstern: Fakultät Physik, Universität Regensburg, D-93040 Regensburg, Germany

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 07, 943-985

Abstract: With the projector quantum Monte Carlo algorithm and the stochastic diagonalization it is possible to calculate the ground state of the Hubbard model for small finite clusters. Nevertheless the usual finite size scaling of the Hubbard model has problems of deducing the behavior of the infinite system correctly from the numerical data of small system sizes. Therefore we study the finite size scaling of the superconducting correlation functions in superconducting BCS-reduced Hubbard models to analyze the finite size behavior in small finite clusters. The ground state of the BCS-reduced Hubbard models is calculated with the stochastic diagonalization without any approximations. As result of these analyses we propose a new finite size scaling ansatz for the Hubbard model, which is able describe the finite size effects in a consistent way taking the corrections to scaling into account, which are dominant for weak interaction strength and small clusters. With this new finite size scaling ansatz it is possible to give evidence for superconductivity for all interaction strengths for both the attractivett'-Hubbard model (withs-wave symmetry) and the repulsivett'-Hubbard model (withdx2-y2-wave symmetry).

Keywords: Finite Size Scaling; Hubbard Model; Superconductivity; Stochastic Diagonalization; Quantum Monte Carlo (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000911

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