Supersolidity, entropy and frustration

Abstract

We study the properties of t-t'-V model of hard-core bosons on the triangular lattice that can be realized in optical lattices. By mapping to the spin-1/2 XXZ model in a field, we determine the phase diagram of the t-V model where the supersolid characterized by the ordering pattern (x,x,-2x') ("ferrimagnetic" or SS A) is a ground state for chemical potential μ>3V. By turning on either temperature or t' at half-filling μ=3V, we find a first order transition from SS A to the elusive supersolid characterized by the (x,-x,0) ordering pattern ("antiferromagnetic" or SS C). In addition, we find a large region where a superfluid phase becomes a solid upon raising temperature at fixed chemical potential. This is an analog of the Pomeranchuk effect driven by the large entropic effects associated with geometric frustration on the triangular lattice.

4 pages, igures, LaTex

References in corpus (5)

• "Deconfined" quantum critical points
• Bose-Einstein condensation of chromium
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Supersolid hardcore bosons on the triangular lattice
• A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice

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