Please use this identifier to cite or link to this item: https://doi.org/10.1002/pssb.201248308
Title: Capturing the re-entrant behavior of one-dimensional Bose-Hubbard model
Authors: Pino, M.
Prior, J.
Clark, S.R. 
Keywords: Bose-Hubbard model
Mott insulator
Re-entrance
Superfluid
Issue Date: Jan-2013
Citation: Pino, M., Prior, J., Clark, S.R. (2013-01). Capturing the re-entrant behavior of one-dimensional Bose-Hubbard model. Physica Status Solidi (B) Basic Research 250 (1) : 51-58. ScholarBank@NUS Repository. https://doi.org/10.1002/pssb.201248308
Abstract: The Bose-Hubbard model (BHM) is an archetypal quantum lattice system exhibiting a quantum phase transition between its superfluid (SF) and Mott-insulator (MI) phase. Unlike in higher dimensions the phase diagram of the BHM in one dimension possesses regions in which increasing the hopping amplitude can result in a transition from MI to SF and then back to a MI. This type of re-entrance is well known in classical systems like liquid crystals yet its origin in quantum systems is still not well understood. Moreover, this unusual re-entrant character of the BHM is not easily captured in approximate analytical or numerical calculations. Here we study in detail the predictions of three different and widely used approximations; a multi-site mean-field decoupling, a finite-sized cluster calculation, and a real-space renormalization group (RG) approach. It is found that mean-field calculations do not reproduce re-entrance while finite-sized clusters display a precursor to re-entrance. Here we show for the first time that RG does capture the re-entrant feature and constitutes one of the simplest approximation able to do so. The differing abilities of these approaches reveals the importance of describing short-ranged correlations relevant to the kinetic energy of a MI in a particle-number symmetric way. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Source Title: Physica Status Solidi (B) Basic Research
URI: http://scholarbank.nus.edu.sg/handle/10635/112391
ISSN: 03701972
DOI: 10.1002/pssb.201248308
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

5
checked on Aug 18, 2018

WEB OF SCIENCETM
Citations

5
checked on Jul 18, 2018

Page view(s)

42
checked on Aug 3, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.