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arXiv · 1404.0194

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
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Abstract

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

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P. H. Y. Li, R. F. Bishop, C. E. Campbell. 2014-04-01. Phase diagram of a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ $XXZ$ model on the honeycomb lattice. https://doi.org/10.1103/physrevb.89.220408

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