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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

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Volume 12, Issue 7

Issues

Volume 13 (2015)

One-dimensional Bose-Hubbard model with pure three-body interactions

Tomasz Sowiński
  • Institute of Physics of the Polish Academy of Sciences, Al. Lotników 32/46, 00-668, Warsaw, Poland
  • Center for Theoretical Physics of the Polish Academy of Sciences, Al. Lotników 32/46, 00-668, Warsaw, Poland
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Published Online: 2014-06-21 | DOI: https://doi.org/10.2478/s11534-014-0481-8

Abstract

The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling for which the system undergoes the quantum phase transition from insulating to superfluid phase are predicted. It is shown that stability of insulating phases, in contrast to the standard Bose-Hubbard model, is enhanced for larger fillings. It is also shown that, on the tip of the boundary of the insulating phase, the model under consideration belongs to the Berenzinskii-Kosterlitz-Thouless universality class.

Keywords: extended Bose-Hubbard model; three-body interactions; BKT transition

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About the article

Published Online: 2014-06-21

Published in Print: 2014-07-01


Citation Information: Open Physics, Volume 12, Issue 7, Pages 473–479, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-014-0481-8.

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© 2014 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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