Doublon-holon-binding mechanism of Mott transition in 2D Hubbard model

T. Miyagawa; H. Yokoyama

doi:10.1016/j.physc.2011.05.041

Doublon-holon-binding mechanism of Mott transition in 2D Hubbard model

T. Miyagawa, H. Yokoyama

SCI - Physics

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

7 Citations (Scopus)

Abstract

The mechanism of nonmagnetic Mott transitions in the Hubbard model on the square lattice is studied, using a variational Monte Carlo method. A simple doublon (D)-holon (H) binding mechanism a previous study proposed [J. Phys. Soc. Jpn. 75 (2006) 114706] has to be modified, because even a wave function with completely bound D-H pairs brings about a Mott transition at a finite correlation strength. By introducing two characteristic lengths, D-H pair binding length, ξ_DH, and minimum inter-doublon distance, ξ_DD, we can properly describe the physics of Mott transitions, and determine the critical point by ξ_DD ∼ ξ_DH. This concept seems universal, because it is valid not only for newly introduced wave functions with long-range D-H and D-D (H-H) correlation factors discussed here, but for a wide range of wave functions with D-H binding factors.

Original language	English
Pages (from-to)	738-742
Number of pages	5
Journal	Physica C: Superconductivity and its applications
Volume	471
Issue number	21-22
DOIs	https://doi.org/10.1016/j.physc.2011.05.041
Publication status	Published - 2011 Nov

Keywords

Doublon
Holon
Hubbard model
Mechanism
Mott transition
Variational Monte Carlo method

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1016/j.physc.2011.05.041

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title = "Doublon-holon-binding mechanism of Mott transition in 2D Hubbard model",

abstract = "The mechanism of nonmagnetic Mott transitions in the Hubbard model on the square lattice is studied, using a variational Monte Carlo method. A simple doublon (D)-holon (H) binding mechanism a previous study proposed [J. Phys. Soc. Jpn. 75 (2006) 114706] has to be modified, because even a wave function with completely bound D-H pairs brings about a Mott transition at a finite correlation strength. By introducing two characteristic lengths, D-H pair binding length, ξDH, and minimum inter-doublon distance, ξDD, we can properly describe the physics of Mott transitions, and determine the critical point by ξDD ∼ ξDH. This concept seems universal, because it is valid not only for newly introduced wave functions with long-range D-H and D-D (H-H) correlation factors discussed here, but for a wide range of wave functions with D-H binding factors.",

keywords = "Doublon, Holon, Hubbard model, Mechanism, Mott transition, Variational Monte Carlo method",

author = "T. Miyagawa and H. Yokoyama",

note = "Funding Information: The authors thank Masao Ogata, Tomoharu Tsuji and Yu Kanamori for useful discussions. This work is partly supported by Grant-in-Aids from the Ministry of Education, Culture, Sports, Science and Technology, Japan .",

year = "2011",

month = nov,

doi = "10.1016/j.physc.2011.05.041",

language = "English",

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AU - Miyagawa, T.

AU - Yokoyama, H.

N1 - Funding Information: The authors thank Masao Ogata, Tomoharu Tsuji and Yu Kanamori for useful discussions. This work is partly supported by Grant-in-Aids from the Ministry of Education, Culture, Sports, Science and Technology, Japan .

PY - 2011/11

Y1 - 2011/11

N2 - The mechanism of nonmagnetic Mott transitions in the Hubbard model on the square lattice is studied, using a variational Monte Carlo method. A simple doublon (D)-holon (H) binding mechanism a previous study proposed [J. Phys. Soc. Jpn. 75 (2006) 114706] has to be modified, because even a wave function with completely bound D-H pairs brings about a Mott transition at a finite correlation strength. By introducing two characteristic lengths, D-H pair binding length, ξDH, and minimum inter-doublon distance, ξDD, we can properly describe the physics of Mott transitions, and determine the critical point by ξDD ∼ ξDH. This concept seems universal, because it is valid not only for newly introduced wave functions with long-range D-H and D-D (H-H) correlation factors discussed here, but for a wide range of wave functions with D-H binding factors.

AB - The mechanism of nonmagnetic Mott transitions in the Hubbard model on the square lattice is studied, using a variational Monte Carlo method. A simple doublon (D)-holon (H) binding mechanism a previous study proposed [J. Phys. Soc. Jpn. 75 (2006) 114706] has to be modified, because even a wave function with completely bound D-H pairs brings about a Mott transition at a finite correlation strength. By introducing two characteristic lengths, D-H pair binding length, ξDH, and minimum inter-doublon distance, ξDD, we can properly describe the physics of Mott transitions, and determine the critical point by ξDD ∼ ξDH. This concept seems universal, because it is valid not only for newly introduced wave functions with long-range D-H and D-D (H-H) correlation factors discussed here, but for a wide range of wave functions with D-H binding factors.

KW - Doublon

KW - Holon

KW - Hubbard model

KW - Mechanism

KW - Mott transition

KW - Variational Monte Carlo method

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Doublon-holon-binding mechanism of Mott transition in 2D Hubbard model

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Keywords

ASJC Scopus subject areas

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