Phase diagram of a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ $XXZ$ model on the honeycomb lattice

P. H. Y. Li; R. F. Bishop; C. E. Campbell

doi:10.1103/PhysRevB.89.220408

paper

Phase diagram of a frustrated spin- $\frac{1}{2}$ $J_{1}$ -- $J_{2}$ $X X Z$ model on the honeycomb lattice

arXiv:1404.0194 · doi:10.1103/PhysRevB.89.220408

Abstract

We study the zero-temperature ( $T = 0$ ) ground-state (GS) properties of a frustrated spin-half $J_{1}^{X X Z}$ -- $J_{2}^{X X Z}$ model on the honeycomb lattice with nearest-neighbor and next-nearest-neighbor interactions with exchange couplings $J_{1} > 0$ and $J_{2} \equiv κ J_{1} > 0$ , respectively, using the coupled cluster method. Both interactions are of the anisotropic $X X Z$ type. We present the $T = 0$ GS phase diagram of the model in the ranges $0 \leq Δ \leq 1$ of the spin-space anisotropy parameter and $0 \leq κ \leq 1$ of the frustration parameter. A possible quantum spin-liquid region is identified.

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Abstract

References in corpus (25)

Cited by in corpus (19)

Phase diagram of a frustrated spin- $\frac{1}{2}$ $J_{1}$ -- $J_{2}$ $X X Z$ model on the honeycomb lattice