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Strong-coupling expansions for the pure and disordered Bose-Hubbard model
Open accessAbstract
A strong-coupling expansion for the phase boundary of the (incompressible) Mott insulator is presented for the Bose-Hubbard model. Both the pure case and the disordered case are examined. Extrapolations of the series expansions provide results that are as accurate as the Monte Carlo simulations and agree with the exact solutions. The shape difference between Kosterlitz-Thouless critical behavior in one-dimension and power-law singularities in higher dimensions arises naturally in this strong-coupling expansion. Bounded disorder distributions produce a ``first-order'' kink to the Mott phase boundary in the thermodynamic limit because of the presence of Lifshitz's rare regions. \textcopyright{} 1996 The American Physical Society.
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Cites
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
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Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
One-dimensional Bose-Hubbard model with nearest-neighbor interaction
Kühner, T. D., White, S. R., & Monien, H. (2000) · Physical Review B · doi:10.1103/physrevb.61.12474 · Cited by 400
Self-citationAmplitude/Higgs Modes in Condensed Matter Physics
Pekker, D., & Varma, C. M. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014350 · Cited by 398
Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model
Capogrosso-Sansone, B., Prokof’ev, N. V., & Svistunov, B. V. (2007) · Physical Review B · doi:10.1103/physrevb.75.134302 · Cited by 296
“Worm” algorithm in quantum Monte Carlo simulations
Prokof'ev, N. V., Svistunov, B. V., & Tupitsyn, I. S. (1998) · Physics Letters A · doi:10.1016/s0375-9601(97)00957-2 · Cited by 272
Metadata
- Authors
- Freericks, J. K., & Monien, H.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1996-02-01
- Volume
- 53
- Issue
- 5
- Pages
- 2691-2700
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1974833278
- Cited by
- 353
- References
- 1
- FWCI
- 5.76
- Type
- journal article
- Language
- en
- Open access
- green
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