Variational wavefunction study of the triangular lattice supersolid

Abstract

We present a variational wavefunction which explains the behaviour of the supersolid state formed by hard-core bosons on the triangular lattice. The wavefunction is a linear superposition of {\em only and all} configurations minimising the repulsion between the bosons (which it thus implements as a hard constraint). Its properties can be evaluated exactly--in particular, the variational minimisation of the energy yields (i) the surprising and initially controversial spontaneous density deviation from half-filling (ii) a quantitatively accurate estimate of the corresponding density wave (solid) order parameter.

4 pages, 2-column PRL format; v2: minor typos fixed

References in corpus (9)

• Ising models of quantum frustration
• Supersolid hardcore bosons on the triangular lattice
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Supersolid phase of hardcore bosons on triangular lattice
• Superfluids and Supersolids on Frustrated 2D Lattices
• Correlations and confinement in non-planar two-dimensional dimer models
• Superfluid-Insulator Transitions on the Triangular Lattice
• Slow holes in the triangular Ising antiferromagnet

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