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Numerical Simulation of the Two Dimensional Hubbard Model

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Part of the book series: NATO ASI Series ((NSSB,volume 213))

Abstract

A new method for simulating strongly correlated fermionic systems, has been applied to the study of the ground state properties of the 2D Hubbard model at various fillings. Comparison has been made with exact diagonalizations in the 20 × 2 and 4 × 4 lattices where very good agreement has been verified.

Numerical results concerning spin correlations and momentum distribution have been obtained with this method for sizes up to 16 × 16 sites and several fillings. Away from half filling the 2D antiferromagnetic order is initially destroyed, albeit without any clear sign of a Fermi liquid behaviour. A metallic jump in the momentum distribution appears only very far from half filling.

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© 1989 Plenum Press, New York

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Sorella, S., Parrinello, M. (1989). Numerical Simulation of the Two Dimensional Hubbard Model. In: Baeriswyl, D., Campbell, D.K. (eds) Interacting Electrons in Reduced Dimensions. NATO ASI Series, vol 213. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0565-1_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0565-1_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7869-6

  • Online ISBN: 978-1-4613-0565-1

  • eBook Packages: Springer Book Archive

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