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.

arXiv comment4 pages, 3 figures. Published version; minor revisions with updated references

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Cited by in corpus (23)

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• Renormalization of tensor-network states
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• 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
• Variational Approach to Projected Entangled Pair States at Finite Temperature
• 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
• Optimized Decimation of Tensor Networks with Super-orthogonalization for Two-Dimensional Quantum Lattice Models
• Multipartite Entanglement Measures and Quantum Criticality from Matrix and Tensor Product States
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• 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
• Fermionic Projected Entangled Pair States at Finite Temperature
• Further developments in correlator product states: deterministic optimization and energy evaluation
• Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital $e_g$ Model on an Infinite Square Lattice
• Field Induced Spin Supersolidity in Frustrated Spin-1/2 Spin-Dimer Models
• 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