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

J. X. Wang; Sabre Kais; R. D. Levine

doi:10.3390/i3010004

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

J. X. Wang
, Sabre Kais^*
, R. D. Levine

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	4-16
Number of pages	13
Journal	International Journal of Molecular Sciences
Volume	3
Issue number	1
DOIs	https://doi.org/10.3390/i3010004
State	Published - Jan 2002
Externally published	Yes

Keywords

Metal-insulator transition
Quantum dots
Renormalization group method
Triangular lattice

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10.3390/i3010004

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title = "Real-space renormalization group study of the Hubbard model on anon-bipartite lattice",

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, Quantum dots, Renormalization group method, Triangular lattice",

author = "Wang, \{J. X.\} and Sabre Kais and Levine, \{R. D.\}",

year = "2002",

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doi = "10.3390/i3010004",

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AU - Wang, J. X.

AU - Kais, Sabre

AU - Levine, R. D.

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Y1 - 2002/1

N2 - 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.

AB - 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.

KW - Metal-insulator transition

KW - Quantum dots

KW - Renormalization group method

KW - Triangular lattice

UR - https://www.scopus.com/pages/publications/0002567832

U2 - 10.3390/i3010004

DO - 10.3390/i3010004

M3 - 文章

AN - SCOPUS:0002567832

SN - 1661-6596

VL - 3

SP - 4

EP - 16

JO - International Journal of Molecular Sciences

JF - International Journal of Molecular Sciences

IS - 1

ER -

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

Abstract

Keywords

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