One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice

Abstract

We investigate the Hubbard model on the anisotropic triangular lattice with two hopping parameters $t$ and $t^{\prime }$ in different spatial directions, interpolating between decoupled chains ($t=0$) and the isotropic triangular lattice ($t=t^{\prime }$). Variational wave functions that include both Jastrow and backflow terms are used to compare spin-liquid and magnetic phases with different pitch vectors describing both collinear and coplanar (spiral) order. For relatively large values of the on-site interaction $U/t^{\prime }\gtrsim 10$ and substantial frustration, i.e., $0.3\lesssim t/t^{\prime }\lesssim 0.8$, the spin-liquid state is clearly favored over magnetic states. Spiral magnetic order is only stable in the vicinity of the isotropic point, while collinear order is obtained in a wide range of inter-chain hoppings from small to intermediate frustration.

10 pages, 8 figures

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