Competing spin-liquid states in the spin- 1 2 Heisenberg model on the triangular lattice
By Wenjun Hu, S. Gong, Wei Zhu, D. Sheng. 2015
184 citations recorded by the source corpus.
We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation function, we find a $120^{\circ}$ magnetic order phase for $J_2 \lesssim 0.07 J_1$ and a stripe antiferromagnetic phase for $J_2 \gtrsim 0.15 J_1$. Between these two phases, we identify a spin liquid region characterized by the exponential decaying spin and dimer correlations, as well as the large spin singlet and triplet excitation gaps on finite-size systems. We find two near degenerating ground states with distinct properties in two sectors, which indicates more than one spin liquid candidates in this region. While the sector with spinon is found to respect the time reversal symmetry, the even sector without a spinon breaks such a symmetry for finite-size systems. Furthermore, we detect the signature of the fractionalization by following the evolution of different ground states with inserting spin flux into the cylinder system. Moreover, by tuning the anisotropic bond coupling, we explore the nature of the spin liquid phase and find the optimal parameter region for the gapped $Z_2$ spin liquid.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/8c58197a29a014458cbdef2470462b7e8f0645a8
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4 (2017, methodology): “However we note that a quantum paramagnetic regime has been found[32, 54, 55] in numerical work on the triangular lattice Heisenberg model for weak second-neighbor exchange J2 & 0.”