Quantum phase transitions of interacting bosons on hyperbolic lattices

Xingchuan Zhu*, Jiaojiao Guo*, Nikolas P. Breuckmann, Huaiming Guo, Shiping Feng

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

17 Citations (Scopus)
7 Downloads (Pure)


The effect of many-body interaction in curved space is studied based on the extended Bose--Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum Monte Carlo simulation, the phase diagram is explicitly mapped out, which contains the superfluid, supersolid and insulator phases at various fillings. Particularly, it is revealed that the sizes of the Mott lobes shrink and the supersolid is stabilized at smaller nearest-neighbor interaction as $q$ in the Schl\"afli symbol increases. The underlying physical mechanism is attributed to the increase of the coordination number, and hence the kinetic energy and the nearest-neighbor interaction. The results suggest that the hyperbolic lattices may be a unique platform to study the effect of the coordination number on quantum phase transitions, which may be relevant to the experiments of ultracold atoms in optical lattices.
Original languageEnglish
Article number335602
JournalJournal of Physics Condensed Matter
Issue number33
Publication statusPublished - 29 Jun 2021

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© 2021 IOP Publishing Ltd.


  • Bose Hubbard model
  • hyperbolic lattice
  • quantum Monte Carlo
  • supersolid


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