Tuning the Kosterlitz-Thouless transition to zero temperature in Anisotropic Boson Systems
arXiv:1207.2122 · doi:10.1103/PhysRevA.86.043612
Abstract
We study the two-dimensional Bose-Hubbard model with anisotropic hopping. Focusing on the effects of anisotropy on the superfluid properties such like the helicity modulus and the normal-to-superfluid (Berezinskii-Kosterlitz-Thouless, BKT) transition temperature, two different approaches are compared: Large-scale Quantum Monte Carlo simulations and the self-consistent harmonic approximation (SCHA). For the latter, two different formulations are considered, one applying near the isotropic limit and the other applying in the extremely anisotropic limit. Thus we find that the SCHA provides a reasonable description of superfluid properties of this system provided the appropriate type of formulation is employed. The accuracy of the SCHA in the extremely anisotropic limit, where the BKT transition temperature is tuned to zero (i.e. into a Quantum critical point) and therefore quantum fluctuations play a dominant role, is particularly striking.
11 pages, 8 figures
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- Ground state phase diagram of the 2d Bose-Hubbard model with anisotropic hopping
- Anisotropic superfluidity of two-dimensional excitons in a periodic potential
- Density-wave-type supersolid of two-dimensional tilted dipolar bosons
- Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition
- Quantitative Studies on the Quantum Critical Regime near Superfluid to Mott Insulator Transition
- Quantum phase transition of the Bose-Hubbard model on cubic lattice with anisotropic hopping
- One dimensional Bose-Hubbard model with long range hopping