Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective

Details Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective

2009-10-12

arxiv.org/abs/0910.2203v2

Phys. Rev. Lett. 104, 015301 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, 1 table, published version

Scientific paper

We study the spin-1/2 XXZ model on the triangular lattice with a nearest neighbor antiferromagnetic Ising coupling $J_z>0$ and unfrustrated ($J_\perp<0$) or frustrated ($J_\perp>0$) kinetic terms in zero magnetic field. Incorporating long-range Jastrow correlations over a mean field spin state, we obtain the variational phase diagram of this model on large lattices for arbitrary $J_z$ and either sign of $J_\perp$. For $J_\perp<0$, we find a $\sqrt{3}\times\sqrt{3}$ supersolid for $J_z/|J_\perp| \gtrsim 4.7$, in excellent agreement with quantum Monte Carlo data. For $J_\perp >0$, a distinct $\sqrt{3}\times\sqrt{3}$ supersolid is found to emerge for $J_z/J_\perp \geq 1$. Both supersolids exhibit a spontaneous density deviation from half-filling. At $J_z/J_\perp=\infty$, the crystalline order parameters of these two supersolids are nearly identical, consistent with exact results.

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