Degenerate approach to the mean field Bose-Hubbard Hamiltonian

Alexander M. Belemuk and Valentin N. Ryzhov ()
Additional contact information
Alexander M. Belemuk: Institute for High Pressure Physics, Russian Academy of Sciences
Valentin N. Ryzhov: Institute for High Pressure Physics, Russian Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 4, 1-5

Abstract: Abstract A degenerate variant of mean field perturbation theory for the on-site Bose-Hubbard Hamiltonian is presented. We split the perturbation into two terms and perform exact diagonalization in the two-dimensional subspace corresponding to the degenerate states. The final relations for the second order ground state energy and first order wave function do not contain singularities at integer values of the chemical potentials. The resulting equation for the phase boundary between superfluid and Mott states coincides with the prediction from the conventional mean field perturbation approach.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2016-60820-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:89:y:2016:i:4:d:10.1140_epjb_e2016-60820-5

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2016-60820-5

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().