Phase Diagram of an <i>S</i> = 1/2 <i>J</i><sub>1</sub>-<i>J</i><sub>2</sub> Anisotropic Heisenberg Antiferromagnet on a Triangular Lattice
- 1 Faculty of Science and Technology, Tohoku Bunka Gakuen University, Sendai, Japan
- 2 Department of Applied Physics, Tohoku University, Sendai, Japan
- 3 Faculty of Science and Technology, Tohoku Bunka Gakuen University, Sendai, Japan
- 4 Faculty of Humanities and Social Sciences, Iwate University, Morioka, Japan
Abstract
We study the ground state of an S =1/2 anisotropic a ( ≡ J z /J xy ) Heisenberg antiferromagnet with nearest ( J 1 ) and next-nearest ( J 2 ) neighbor exchange interactions on a triangular lattice using the exact diagonalization method. We obtain the energy, squared sublattice magnetizations, and their Binder ratios on finite lattices with N ≤ 36 sites. We estimate the threshold <span style="white-space:nowrap;">J<sup>(t)</sup><sub style="margin-left:-6px;"> 2</sub></span> (a) between the three-sublattice Néel state and the spin liquid (SL) state, and <span style="white-space:nowrap;">J<sup>(s)</sup><sub style="margin-left:-6px;"> 2</sub></span> (a) between the stripe state and the SL state. The SL state exists over a wide range in the α - J 2 plane. For α>1 , the xy component of the magnetization is destroyed by quantum fluctuations, and the classical distorted 120 ° structure is replaced by the collinear state.
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