Abstract
The spin-1/2 triangular-lattice Heisenberg antiferromagnet with a -type distortion is studied by the numerical-diagonalization method. We examine this model between the two cases, one is the undistorted triangular lattice and the other is the model on the honeycomb lattice with isolated spins. When the distortion is controlled, we find a nontrivial region where the ground states shows spontaneous magnetization; the magnitude increases gradually as the distortion is larger and is smaller than one third of the saturated magnetization.
Highlights
The triangular-lattice antiferromagnet is a typical system that has attracted much attention from its behavior owing to frustrations
The purpose of the present study is to clarify effects of the 3 × 3-type distortion in the spin-1/2 Heisenberg antiferromagnet on the triangular lattice illustrated in Fig. 1 by means of a numerical-diagonalization method of the Lanczos algorithm
We examine the model between the two cases, one is the undistorted triangular lattice and the other is the model on the honeycomb lattice with isolated spins
Summary
The triangular-lattice antiferromagnet is a typical system that has attracted much attention from its behavior owing to frustrations. It is widely believed that the so-called 120-degree structure is realized as a spin structure of its ground state Extensive studies concerning this system have been carried out from various aspects[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21].
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