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The Extended Bose Hubbard Model on the Two Dimensional Honeycomb Lattice | | Jing Yu Gan
; Wen Yu Chuan
; Jin Wu Ye
; Tao Li
; Shi Jie Yang
; Yu Yue
; | | Date: |
6 Jan 2007 | | Subject: | Other | | Abstract: | We study the extended Bose Hubbard model on the two-dimensional honeycomb lattice by using the quantum Monte Carlo simulations. We present the ground state phase diagram for both of the hardcore and softcore case. We find that the results of the honeycomb lattice are just similar to the square lattice. For the hardcore case, the supersolid state is unstable towards the phase separation. The transition between $
ho=1/2$ solid and the superfluid is of first order. For the softcore case, due to the presence of the multiple occupation, a stable supersolid phase emerges when $
ho>1/2$. We also study the critical exponents of the transition between $
ho=1/2$ solid and superfluid at the Heisenberg point. We find the dynamical critical exponent $z$ and the correlation length exponent $
u$ are $z=0.15$ and $
u=0.38$. | | Source: | arXiv, cond-mat/0701120 | | Services: | Forum | Review | PDF | Favorites | |
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