Variational Studies of Triangular Heisenberg Antiferromagnet in Magnetic Field

Abstract

We present a variational study of the Heisenberg antiferromagnet on the spatially anisotropic triangular lattice in magnetic field. First we construct a simple yet accurate wavefunction for the 1/3-magnetization plateau uud phase on the isotropic lattice. Beginning with this state, we obtain natural extensions to nearby commensurate coplanar phases on either side of the plateau. The latter occur also for low lattice anisotropy, while the uud state extends to much larger anisotropy. Far away from the 1/3 plateau and for significant anisotropy, incommensurate states have better energetics, and we address competition between coplanar and non-coplanar states in the high field regime. For very strong anisotropy, our study is dominated by quasi-1d physics. The variational study is supplemented by exact diagonalization calculations which provide a reference for testing the energetics of our trial wavefunctions as well as helping to identify candidate phases.

15 pages, 11 figures

References in corpus (10)

• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Ordering in spatially anisotropic triangular antiferromagnets
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• D-wave correlated Critical Bose Liquids in two dimensions
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Supersolidity in the triangular lattice spin-1/2 XXZ model: A variational perspective
• Thermodynamics of the Up-Up-Down Phase of the S = 1/2 Triangular-Lattice Antiferromagnet Cs${}_2$CuBr${}_4$
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry

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