# Phase diagram of the antiferromagnetic XXZ model on the triangular lattice

@article{Sellmann2015PhaseDO, title={Phase diagram of the antiferromagnetic XXZ model on the triangular lattice}, author={Daniela Sellmann and Xue-Feng Zhang and Sebastian Eggert}, journal={Physical Review B}, year={2015}, volume={91}, pages={081104} }

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 N\'eel order and two distinct coplanar phases. The two coplanar phases are characterized by a simultaneous breaking of both translational and U(1) symmetries…

## 30 Citations

Macroscopically Degenerate Exactly Solvable Point in the Spin-1/2 Kagome Quantum Antiferromagnet.

- Physics, MedicinePhysical review letters
- 2018

This work reports the discovery of a special quantum macroscopically degenerate point in the XXZ model on the spin-1/2 kagome quantum antiferromagnet for the ratio of Ising toantiferromagnetic transverse coupling J_{z}/J=-1/3 and identifies five phases near this point including both spin-liquid and broken-symmetry phases.

Ground-state phase diagram of the triangular lattice Hubbard model by the density-matrix renormalization group method

- Physics
- 2017

Two-dimensional density-matrix renormalization group method is employed to examine the ground state phase diagram of the Hubbard model on the triangular lattice at half filling. The calculation…

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- Physics
- 2015

We study the magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on a layered triangular lattice by means of a numerical cluster mean-field method with a scaling scheme (CMF+S).…

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- Physics
- 2017

Abstract We use the SU(2) Schwinger boson formalism to study the spin transport in the two-dimensional S = 1 / 2 frustrated Heisenberg antiferromagnet in a square lattice, considering the…

Kinetic frustration induced supersolid in the
S=12
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- PhysicsPhysical Review B
- 2018

We examine instabilities of the plateau phases in the spin-$\frac{1}{2}$ kagome lattice antiferromagnet in an applied field by means of degenerate perturbation theory, and find some emergent…

Geometric phase and topological phase diagram of the one-dimensional XXZ Heisenberg spin chain in a longitudinal field

- Physics
- 2020

Abstract In this paper, we determine the geometric phase for the one-dimensional XXZ Heisenberg chain with spin- 1 / 2 , the exchange couple J and the spin anisotropy parameter Δ in a longitudinal…

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- Physics
- 2017

Abstract We have obtained the temperature T 0 of a phase transition in this model as a function of the frustration parameter J 2 in the S = 1 / 2 two-dimensional frustrated Heisenberg antiferromagnet…

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- Physics
- 2017

We overview physical effects of exchange frustration and quantum spin fluctuations in (quasi-) two dimensional (2D) quantum magnets ($S=1/2$) with square, rectangular and triangular structure. Our…

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- PhysicsPhysical Review B
- 2019

The non-trivial magnon band topology and its consequent responses have been extensively studied in two-dimensional magnetisms. However, the triangular lattice antiferromagnet (TLAF), the best-known…

Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation

- Physics
- 2017

Quantum magnetic phases near the magnetic saturation of triangular-lattice antiferromagnets with XXZ anisotropy have been attracting renewed interest since it has been suggested that a nontrivial…

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