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

Takuya Yoshioka, Akihisa Koga, Norio Kawakami

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1248-1250
Number of pages3
JournalPhysica B: Condensed Matter
Issue number5-9
Publication statusPublished - 2008 Apr 1
Externally publishedYes


  • Checkerboard lattice
  • Geometrical frustration
  • Hubbard model

ASJC Scopus subject areas

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


Dive into the research topics of 'Instability of plaquette valence-bond crystal phase in planar pyrochlore electron system'. Together they form a unique fingerprint.

Cite this