Absence of a classical long-range order in $S=1/2$ Heisenberg antiferromagnet on triangular lattice

Abstract

We study the quantum phase transition of an $S=1/2$ anisotropic $\alpha$ $(\equiv J_z/J_{xy})$ Heisenberg antiferromagnet on a triangular lattice. We calculate the sublattice magnetization and the long-range helical order-parameter and their Binder ratios on finite systems with $N\le 36$ sites. The $N$ dependence of the Binder ratios reveals that the classical 120${}^{\circ }$ Néel state occurs for $\alpha \lesssim 0.55$, whereas a critical collinear state occurs for $1/\alpha \lesssim 0.6$. This result is at odds with a widely-held belief that the ground state of a Heisenberg antiferromagnet is the 120${}^{\circ }$ Néel state, but it also provides a possible mechanism explaining experimentally observed spin liquids.

arXiv comment4 pages, 7 figures

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• Signatures of indirect K-edge resonant inelastic x-ray scattering on magnetic excitations in triangular lattice antiferromagnet
• On the Magnetization of the $120^{\circ }$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit
• Torque equilibrium spin wave theory study of anisotropy and Dzyaloshinskii-Moriya interaction effects on the indirect K$-$ edge RIXS spectrum of a triangular lattice antiferromagnet
• Torque equilibrium spin wave theory of Raman scattering in an anisotropic triangular lattice antiferromagnet with Dzyaloshinskii-Moriya interaction
• Magnetic order, spin waves and fluctuations in the triangular antiferromagnet La2Ca2MnO7