Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
| Autor: | Zhu, Zhenyue, White, Steven R. |
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| Rok vydání: | 2015 |
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| Zdroj: | Phys. Rev. B 92, 041105(R), 2015 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.92.041105 |
| Popis: | We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with widths up to 9 lattice spacings. At an intermediate $J_2$ region $0.06 \lesssim J_2/J_1 \lesssim 0.17$, we find evidence for a spin liquid (SL) state with short range spin-spin, bond-bond and chiral correlation lengths, bordered by a classical $120^\circ$ N\'eel ordered state at small $J_2$ and by a two sub-lattice collinear magnetically ordered state at larger $J_2$. Focusing on $J_2/J_1 = 0.1$, we find a number of signatures of a gapped SL phase: two quasi-degenerate ground states on even cylinders, with an energy gap that decreases exponentially with the cylinder width; a dimerization effect on odd cylinders; and large spin triplet and singlet bulk gaps. Comment: 5+4 pages, 4+7 figures, 1 table. v2 minor changes made for publication on PRB rapid communication |
| Databáze: | arXiv |
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