Quantum phase transitions in the dimerized extended Bose-Hubbard model

Koudai Sugimoto, Satoshi Ejima, Florian Lange, Holger Fehske

Research output: Contribution to journalArticle

Abstract

We present an unbiased numerical density-matrix renormalization group study of the one-dimensional Bose-Hubbard model supplemented by nearest-neighbor Coulomb interaction and bond dimerization. It places the emphasis on the determination of the ground-state phase diagram and shows that, besides dimerized Mott and density-wave insulating phases, an intermediate symmetry-protected topological Haldane insulator emerges at weak Coulomb interactions for filling factor one, which disappears, however, when the dimerization becomes too large. Analyzing the critical behavior of the model, we prove that the phase boundaries of the Haldane phase to Mott insulator and density-wave states belong to the Gaussian and Ising universality classes with central charges c=1 and c=1/2, respectively, and merge in a tricritical point. Interestingly we can demonstrate a direct Ising quantum phase transition between the dimerized Mott and density-wave phases above the tricritical point. The corresponding transition line terminates at a critical end point that belongs to the universality class of the dilute Ising model with c=7/10. At even stronger Coulomb interactions the transition becomes first order.

Original languageEnglish
Article number012122
JournalPhysical Review A
Volume99
Issue number1
DOIs
Publication statusPublished - 2019 Jan 28
Externally publishedYes

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dimerization
insulators
interactions
Ising model
phase diagrams
ground state
symmetry

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Quantum phase transitions in the dimerized extended Bose-Hubbard model. / Sugimoto, Koudai; Ejima, Satoshi; Lange, Florian; Fehske, Holger.

In: Physical Review A, Vol. 99, No. 1, 012122, 28.01.2019.

Research output: Contribution to journalArticle

Sugimoto, Koudai ; Ejima, Satoshi ; Lange, Florian ; Fehske, Holger. / Quantum phase transitions in the dimerized extended Bose-Hubbard model. In: Physical Review A. 2019 ; Vol. 99, No. 1.
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