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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 (CC BY 3.0).
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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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