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Title: Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory

Abstract

We generalize the mean-field theory for the spinless Bose-Hubbard model to account for the different types of superfluid phases that can arise in the spin-1 case. In particular, our mean-field theory can distinguish polar and ferromagnetic superfluids, Mott insulator, that arise at integer fillings at zero temperature, and normal Bose liquids into which the Mott insulators evolve at finite temperatures. We find, in contrast to the spinless case, that several of the superfluid-Mott insulator transitions are of first order at finite temperatures. Our systematic study yields rich phase diagrams that include first-order and second-order transitions and a variety of tricritical points. We discuss the possibility of realizing such phase diagrams in experimental systems.

Authors:
; ;  [1]
  1. Department of Physics, Goa University, Taleigao Plateau, Goa 403 206 (India)
Publication Date:
OSTI Identifier:
21070004
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 77; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevB.77.014503; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HUBBARD MODEL; LIQUIDS; MEAN-FIELD THEORY; METALS; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; SPIN; SUPERFLUIDITY

Citation Formats

Pai, Ramesh V, Sheshadri, K, Pandit, Rahul, 686, BEL Layout, 3rd Block, Vidyaranyapura, Bangalore 560 097, and Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Sciences, Bangalore 560 012. Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory. United States: N. p., 2008. Web. doi:10.1103/PHYSREVB.77.014503.
Pai, Ramesh V, Sheshadri, K, Pandit, Rahul, 686, BEL Layout, 3rd Block, Vidyaranyapura, Bangalore 560 097, & Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Sciences, Bangalore 560 012. Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory. United States. https://doi.org/10.1103/PHYSREVB.77.014503
Pai, Ramesh V, Sheshadri, K, Pandit, Rahul, 686, BEL Layout, 3rd Block, Vidyaranyapura, Bangalore 560 097, and Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Sciences, Bangalore 560 012. Tue . "Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory". United States. https://doi.org/10.1103/PHYSREVB.77.014503.
@article{osti_21070004,
title = {Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory},
author = {Pai, Ramesh V and Sheshadri, K and Pandit, Rahul and 686, BEL Layout, 3rd Block, Vidyaranyapura, Bangalore 560 097 and Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Sciences, Bangalore 560 012},
abstractNote = {We generalize the mean-field theory for the spinless Bose-Hubbard model to account for the different types of superfluid phases that can arise in the spin-1 case. In particular, our mean-field theory can distinguish polar and ferromagnetic superfluids, Mott insulator, that arise at integer fillings at zero temperature, and normal Bose liquids into which the Mott insulators evolve at finite temperatures. We find, in contrast to the spinless case, that several of the superfluid-Mott insulator transitions are of first order at finite temperatures. Our systematic study yields rich phase diagrams that include first-order and second-order transitions and a variety of tricritical points. We discuss the possibility of realizing such phase diagrams in experimental systems.},
doi = {10.1103/PHYSREVB.77.014503},
url = {https://www.osti.gov/biblio/21070004}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 1,
volume = 77,
place = {United States},
year = {2008},
month = {1}
}