Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States

Abstract

By means of the recently proposed algorithm based on the tensor product states, the magnetization process of the spin-1/2 anti-ferromagnetic XXZ model on a square lattice is investigated. In the large spin-anisotropy limit, clear evidence of a first-order spin-flip transition is observed as an external magnetic field is increased. Our findings of the critical field and the discrete jumps in various local order parameters are in good agreement with the quantum Monte Carlo data in the literature. Our results imply that this algorithm can be an accurate and efficient numerical approach in studying first-order quantum phase transitions in two dimensions.

4 pages, 3 figures. Published version; minor revisions with updated references

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Cited by in corpus (13)

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• Entanglement renormalization and gauge symmetry
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Efficient simulation of infinite tree tensor network states on the Bethe lattice
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Quantum Phase Transition, O(3) Universality Class and Phase Diagram of Spin-1/2 Heisenberg Antiferromagnet on Distorted Honeycomb Lattice: A Tensor Renormalization Group Study
• Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted Kagomé lattice
• Quantum phase transitions of two-species bosons in square lattice
• Tensor Renormalization Group: Local Magnetizations, Correlation Functions, and Phase Diagrams of Systems with Quenched Randomness