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Unconventional Transition from Superfluid to Mott Insulator Phase of Hard-Core Bosons on the Checkerboard Lattice | | Arnab Sen
; Kedar Damle
; T. Senthil
; | | Date: |
19 Jan 2007 | | Subject: | Strongly Correlated Electrons | | Abstract: | We study hard-core bosons on the checkerboard lattice with nearest neighbour unfrustrated hopping $t$ and `tetrahedral’ plaquette charging energy $U$. Analytical arguments and Quantum Monte Carlo simulations lead us to the conclusion that the system undergoes a zero temperature ($T$) quantum phase transition from a superfluid phase at small $U/t$ to a large $U/t$ Mott insulator phase with $
ho$ = 1/4 for a range of values of the chemical potential $mu$. Further, the quarter-filled insulator breaks lattice translation symmetry in a characteristic four-fold ordering pattern, and occupies a lobe of finite extent in the $mu$-$U/t$ phase diagram. A Quantum Monte-Carlo study slightly away from the tip of the lobe provides evidence for a direct weakly first-order superfluid-insulator transition. However, a combination of indirect numerical evidence and analytical arguments leads us to conclude that the transition {em at} the tip of the lobe belongs to a different landau-forbidden second-order universality class. | | Source: | arXiv, cond-mat/0701476 | | Services: | Forum | Review | PDF | Favorites | |
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