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R. Stephen Berry
Int. J. Mol. Sci. 2002, 3(1), 4-16; doi:10.3390/i3010004
Article

Real-space renormalization group study of the Hubbard model on a non-bipartite lattice

1, 1,*  and 2
1 Department of Chemistry, Purdue University, West Lafayette, IN 47907, USA 2 The Fritz Haber Research Center for Molecular Dynamics, the Hebrew University, Jerusalem 91904, Israel
* Author to whom correspondence should be addressed.
Received: 9 October 2001 / Accepted: 2 December 2001 / Published: 31 January 2002
(This article belongs to the Special Issue From Nanoclusters to Proteins)
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Abstract

We present the real-space block renormalization group equations for fermion systems described by a Hubbard Hamiltonian on a triangular lattice with hexagonal blocks. The conditions that keep the equations from proliferation of the couplings are derived. Computational results are presented including the occurrence of a first-order metal-insulator transition at the critical value of U/t ≈ 12.5.
Keywords: Metal-insulator transition; Renormalization group method; Triangular lattice; Quantum dots Metal-insulator transition; Renormalization group method; Triangular lattice; Quantum dots
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Wang, J.X.; Kais, S.; Levine, R.D. Real-space renormalization group study of the Hubbard model on a non-bipartite lattice. Int. J. Mol. Sci. 2002, 3, 4-16.

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