Hard Core Bosons on the Triangular Lattice at Zero Temperature: A Series Expansion Study

Details Hard Core Bosons on the Triangular Lattice at Zero Temperature: A Series Expansion Study Hard Core Bosons on the Triangular Lattice at Zero Temperature: A Series Expansion Study

2005-10-28

arxiv.org/abs/cond-mat/0510769v1

Physics

Condensed Matter

Other Condensed Matter

13 pages, 7 figures

Scientific paper

10.1103/PhysRevB.73.172401

We use high order linked cluster series to investigate the hard core boson model on the triangular lattice, at zero temperature. Our expansions, in powers of the hopping parameter $t$, probe the spatially ordered `solid' phase and the transition to a uniform superfluid phase. At the commensurate fillings $n=1/3, 2/3$ we locate a quantum phase transition point at $(t/V)_c\simeq 0.208(1)$, in good agreement with recent Monte Carlo studies. At half-filling ($n=1/2$) we find evidence for a solid phase, which persists to $t/V\simeq 0.06$.

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