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Critical point of the one-dimensional boson Hubbard model

Authors
Park, SPark, CCha, MC
Issue Date
Dec-2004
Publisher
KOREAN PHYSICAL SOC
Keywords
boson Hubbard model; superfluid; Mott insulator
Citation
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.45, no.6, pp.1553 - 1556
Indexed
SCIE
SCOPUS
KCI
Journal Title
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
Volume
45
Number
6
Start Page
1553
End Page
1556
URI
https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/46533
ISSN
0374-4884
Abstract
We study the one-dimensional boson Hubbard model through the exact diagonalization of the Hamiltonian for the periodic boundary condition. Using the finite-size scaling of the energy increase due to a twist imposed on the boundaries, we can successfully determine, even in small systems, the critical value of the tuning parameter (t/U)(c) = 0.283 +/- 0.005 for the commensurate density with one boson per site, a distinct improvement in accuracy compared to previous studies.
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COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY (DEPARTMENT OF PHOTONICS AND NANOELECTRONICS)
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