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

J. X. Wang 1 , Sabre Kais 1,* email and R. D. Levine 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

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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.

AMA Style

Wang JX, Kais S, Levine RD. Real-space renormalization group study of the Hubbard model on a non-bipartite lattice. International Journal of Molecular Sciences. 2002; 3(1):4-16.

Chicago/Turabian Style

Wang, J. X.; Kais, Sabre; Levine, R. D. 2002. "Real-space renormalization group study of the Hubbard model on a non-bipartite lattice." Int. J. Mol. Sci. 3, no. 1: 4-16.

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