Metal-insulator transition in the hubbard model on a triangular lattice with disorders

Renormalization group approach

J. X. Wang, Sabre Kais

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A multistages block renormalization group approach to study the metal-insulator transition in the Hubbard model on a triangular lattice with hexagonal blocks is presented and implemented. A second-order phase transition with a critical point at U/t = 12.5 is obtained (the coupling parameters U and t correspond to the repulsive charging energy and to the nearest-neighbor exchange coupling terms, respectively). In the presence of disorder the phase diagram for the system exhibits a metallic phase, an insulating phase, and a domain-localized phase that separates them in the Mott regime. The subtle influence of electron-electron interactions upon inverse participation rate in the Anderson regime is also investigated. The results are discussed in light of experimental evidence for arrays of metalic quantum dots and exact numerical diagonalization of the Hubbard Hamiltonian.

Original languageEnglish
Pages (from-to)360-374
Number of pages15
JournalInternational Journal of Quantum Chemistry
Volume93
Issue number5
DOIs
Publication statusPublished - 20 Jun 2003
Externally publishedYes

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Electron-electron interactions
Hamiltonians
Hubbard model
Exchange coupling
Metal insulator transition
Semiconductor quantum dots
Phase diagrams
Phase transitions
insulators
disorders
metals
charging
critical point
electron scattering
quantum dots
phase diagrams
electrons
energy

Keywords

  • Hubbard model
  • Phase transition
  • Quantum dot
  • Renormalization group

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

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abstract = "A multistages block renormalization group approach to study the metal-insulator transition in the Hubbard model on a triangular lattice with hexagonal blocks is presented and implemented. A second-order phase transition with a critical point at U/t = 12.5 is obtained (the coupling parameters U and t correspond to the repulsive charging energy and to the nearest-neighbor exchange coupling terms, respectively). In the presence of disorder the phase diagram for the system exhibits a metallic phase, an insulating phase, and a domain-localized phase that separates them in the Mott regime. The subtle influence of electron-electron interactions upon inverse participation rate in the Anderson regime is also investigated. The results are discussed in light of experimental evidence for arrays of metalic quantum dots and exact numerical diagonalization of the Hubbard Hamiltonian.",
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T1 - Metal-insulator transition in the hubbard model on a triangular lattice with disorders

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AU - Wang, J. X.

AU - Kais, Sabre

PY - 2003/6/20

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N2 - A multistages block renormalization group approach to study the metal-insulator transition in the Hubbard model on a triangular lattice with hexagonal blocks is presented and implemented. A second-order phase transition with a critical point at U/t = 12.5 is obtained (the coupling parameters U and t correspond to the repulsive charging energy and to the nearest-neighbor exchange coupling terms, respectively). In the presence of disorder the phase diagram for the system exhibits a metallic phase, an insulating phase, and a domain-localized phase that separates them in the Mott regime. The subtle influence of electron-electron interactions upon inverse participation rate in the Anderson regime is also investigated. The results are discussed in light of experimental evidence for arrays of metalic quantum dots and exact numerical diagonalization of the Hubbard Hamiltonian.

AB - A multistages block renormalization group approach to study the metal-insulator transition in the Hubbard model on a triangular lattice with hexagonal blocks is presented and implemented. A second-order phase transition with a critical point at U/t = 12.5 is obtained (the coupling parameters U and t correspond to the repulsive charging energy and to the nearest-neighbor exchange coupling terms, respectively). In the presence of disorder the phase diagram for the system exhibits a metallic phase, an insulating phase, and a domain-localized phase that separates them in the Mott regime. The subtle influence of electron-electron interactions upon inverse participation rate in the Anderson regime is also investigated. The results are discussed in light of experimental evidence for arrays of metalic quantum dots and exact numerical diagonalization of the Hubbard Hamiltonian.

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KW - Phase transition

KW - Quantum dot

KW - Renormalization group

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