The phase diagram of the antiferromagnetic XXZ model on the triangular lattice

Abstract

We determine the quantum phase diagram of the antiferromagnetic spin-1/2 XXZ model on the triangular lattice as a function of magnetic field and anisotropic coupling $J_z$. Using the density matrix renormalization group (DMRG) algorithm in two dimensions we establish the locations of the phase boundaries between a plateau phase with 1/3 Néel order and two distinct coplanar phases. The two coplanar phases are characterized by a simultaneous breaking of both translational and U(1) symmetries, which is reminiscent of supersolidity. A translationally invariant umbrella phase is entered via a first order phase transition at relatively small values of $J_z$ compared to the corresponding case of ferromagnetic hopping and the classical model. The phase transition lines meet at two tricritical points on the tip of the lobe of the plateau state, so that the two coplanar states are completely disconnected. Interestingly, the phase transition between the plateau state and the upper coplanar state changes from second order to first order for large values of $J_z>2.5J$.

8 pages including 13 figures with more data and more details on the 2D DMRG numerics. For the latest version and more information see http://www.physik.uni-kl.de/eggert/papers/index.html

References in corpus (13)

• The density-matrix renormalization group in the age of matrix product states
• Quantum discord and quantum phase transition in spin chains
• Supersolid hardcore bosons on the triangular lattice
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Extended supersolid phase of frustrated hard-core bosons on a triangular lattice
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Phases of triangular lattice antiferromagnet near saturation
• Variational wavefunction study of the triangular lattice supersolid
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameter

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