Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model

Abstract

We present results of Quantum Monte Carlo simulations for the soft core extended bosonic Hubbard model in one dimension exhibiting the presence of supersolid phases similar to those recently found in two dimensions. We find that in one and two dimensions, the insulator-supersolid transition has dynamic critical exponent z=2 whereas the first order insulator-superfluid transition in two dimensions is replaced by a continuous transition with z=1 in one dimension. We present evidence that this transition is in the Kosterlitz-Thouless universality class and discuss the mechanism behind this difference. The simultaneous presence of two types of quasi long range order results in two soliton-like dips in the excitation spectrum.

4 pages, 5 figures

References in corpus (4)

• Bose-Einstein condensation of chromium
• Supersolids versus phase separation in two-dimensional lattice bosons
• The fate of vacancy-induced supersolidity in 4He
• Searching for a Supersolid in Cold Atom Optical Lattices

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• Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model
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• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
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• Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
• Phase separated charge density wave phase in two species extended Bose-Hubbard model
• Low-energy Effective Theory for One-dimensional Lattice Bosons near Integer Filling
• A possible mechanism of concurring diagonal and off-diagonal long-range order for soft interactions