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Spin liquid phase of the S=12S=\frac{1}{2} J1J2J_1-J_2 Heisenberg model on the triangular lattice

Abstract

We study the S=1/2S=1/2 Heisenberg model on the triangular lattice with nearest neighbor interaction J1J_1 and next nearest neighbor interaction J2J_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 J2J_2 region 0.06J2/J10.170.06 \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 120120^\circ N\'eel ordered state at small J2J_2 and by a two sub-lattice collinear magnetically ordered state at larger J2J_2. Focusing on J2/J1=0.1J_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 communicatio

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