Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
We analytically study the quantum phase diagrams of ultracold dipolar Bose gases in an optical square lattice at zero temperature by using the generalized effective-potential Landau theory (GEPLT). For a weak nearest-neighbor repulsion, our analytical results are better than the third-order strong-c...
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| Published in: | Physics letters. A Vol. 383; no. 14; pp. 1666 - 1670 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
09.05.2019
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| Subjects: | |
| ISSN: | 0375-9601, 1873-2429 |
| Online Access: | Get full text |
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| Summary: | We analytically study the quantum phase diagrams of ultracold dipolar Bose gases in an optical square lattice at zero temperature by using the generalized effective-potential Landau theory (GEPLT). For a weak nearest-neighbor repulsion, our analytical results are better than the third-order strong-coupling expansion theory calculation. In contrast to a previous quantum Monte Carlo (QMC) simulation, we analytically calculate phase transition boundaries up to the third-order hopping, which are in excellent agreement with QMC simulations for second-order phase transition.
•In contrast to strong-coupling expansion theory (a non-universal theory), we introduce a universal theory—the GEPLT.•The strong-coupling theory is invalid (valid) for obtaining CDW (MI) lobes but the GEPLT is valid for obtaining both lobes.•The GEPLT is better than the third-order strong-coupling perturbation theory for obtaining the tips of the MI lobes.•At ZV=1.5U, the CDW lobes for the second-order phase transition part given by our method coincide with the QMC simulations. |
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| ISSN: | 0375-9601 1873-2429 |
| DOI: | 10.1016/j.physleta.2019.02.026 |