Instability of plaquette valence-bond crystal phase in planar pyrochlore electron system

Takuya Yoshioka; Akihisa Koga; Norio Kawakami

doi:10.1016/j.physb.2007.10.299

Instability of plaquette valence-bond crystal phase in planar pyrochlore electron system

Takuya Yoshioka, Akihisa Koga, Norio Kawakami

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

Abstract

We study a geometrically frustrated Hubbard model on the checkerboard lattice with nearest neighbor (t) and diagonal (t^′) hoppings. By using the path-integral renormalization group method, we calculate the double occupancy and the plaquette singlet correlation function to discuss the instability of the plaquette valence-bond crystal (P-VBC) phase at half filling. It is found that the increase of Coulomb interaction induces a first-order Mott transition to the plaquette singlet insulating (PSI) phase for t^′ / t = 1.0, which naturally leads to the P-VBC phase in the Heisenberg limit. For t^′ / t = 0.8, the double quantum phase transitions occur, and the PSI phase is stabilized between paramagnetic metallic and antiferromagnetic insulating phase.

Original language	English
Pages (from-to)	1248-1250
Number of pages	3
Journal	Physica B: Condensed Matter
Volume	403
Issue number	5-9
DOIs	https://doi.org/10.1016/j.physb.2007.10.299
Publication status	Published - 2008 Apr 1
Externally published	Yes

Keywords

Checkerboard lattice
Geometrical frustration
Hubbard model

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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title = "Instability of plaquette valence-bond crystal phase in planar pyrochlore electron system",

abstract = "We study a geometrically frustrated Hubbard model on the checkerboard lattice with nearest neighbor (t) and diagonal (t′) hoppings. By using the path-integral renormalization group method, we calculate the double occupancy and the plaquette singlet correlation function to discuss the instability of the plaquette valence-bond crystal (P-VBC) phase at half filling. It is found that the increase of Coulomb interaction induces a first-order Mott transition to the plaquette singlet insulating (PSI) phase for t′ / t = 1.0, which naturally leads to the P-VBC phase in the Heisenberg limit. For t′ / t = 0.8, the double quantum phase transitions occur, and the PSI phase is stabilized between paramagnetic metallic and antiferromagnetic insulating phase.",

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T1 - Instability of plaquette valence-bond crystal phase in planar pyrochlore electron system

AU - Yoshioka, Takuya

AU - Koga, Akihisa

AU - Kawakami, Norio

PY - 2008/4/1

Y1 - 2008/4/1

N2 - We study a geometrically frustrated Hubbard model on the checkerboard lattice with nearest neighbor (t) and diagonal (t′) hoppings. By using the path-integral renormalization group method, we calculate the double occupancy and the plaquette singlet correlation function to discuss the instability of the plaquette valence-bond crystal (P-VBC) phase at half filling. It is found that the increase of Coulomb interaction induces a first-order Mott transition to the plaquette singlet insulating (PSI) phase for t′ / t = 1.0, which naturally leads to the P-VBC phase in the Heisenberg limit. For t′ / t = 0.8, the double quantum phase transitions occur, and the PSI phase is stabilized between paramagnetic metallic and antiferromagnetic insulating phase.

AB - We study a geometrically frustrated Hubbard model on the checkerboard lattice with nearest neighbor (t) and diagonal (t′) hoppings. By using the path-integral renormalization group method, we calculate the double occupancy and the plaquette singlet correlation function to discuss the instability of the plaquette valence-bond crystal (P-VBC) phase at half filling. It is found that the increase of Coulomb interaction induces a first-order Mott transition to the plaquette singlet insulating (PSI) phase for t′ / t = 1.0, which naturally leads to the P-VBC phase in the Heisenberg limit. For t′ / t = 0.8, the double quantum phase transitions occur, and the PSI phase is stabilized between paramagnetic metallic and antiferromagnetic insulating phase.

KW - Checkerboard lattice

KW - Geometrical frustration

KW - Hubbard model

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