The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures

Abstract

The temperature dependence of the correlation length, susceptibilities and the magnetic structure factor of the two-dimensional spin-1 square lattice quantum Heisenberg antiferromagnet are computed by the quantum Monte Carlo loop algorithm (QMC). In the experimentally relevant temperature regime the theoretically predicted asymptotic low temperature behavior is found to be not valid. The QMC results however, agree reasonably well with the experimental measurements of La2NiO4 even without considering anisotropies in the exchange interactions.

arXiv comment4 Pages, 1 table, 4 figures

References in corpus (9)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Cluster Algorithm for Vertex Models
• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Spin Dependence of Correlations in Two-Dimensional Quantum Heisenberg Antiferromagnets
• Generalization of the Fortuin-Kasteleyn transformation and its application to quantum spin simulations,
• The two-dimensional quantum Heisenberg antiferromagnet: effective Hamiltonian approach to the thermodynamics
• Cluster Algorithms For Anisotropic Quantum Spin Models
• Temperature dependent correlation length for the S=1/2 Quantum Heisenberg Antiferromagnet on the square lattice

Cited by in corpus (30)

• The Loop Algorithm
• Cluster algorithms for general-S quantum spin systems
• Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets
• Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
• Magnetic Exchange Interactions in BaMn2As2: A Case Study of the J1-J2-Jc Heisenberg Model
• Recent Developments of World-Line Monte Carlo Methods
• Possibility of Deconfined Criticality in SU(N) Heisenberg Models at Small N
• Monte Carlo Study of the S=1/2 and S=1 Heisenberg Antiferromagnet on a Spatially Anisotropic Square Lattice
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice
• Plaquette-singlet solid state and topological hidden order in spin-1 antiferromagnetic Heisenberg ladder
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• The Interplay Between Lattice Topology, Frustration, and Spin Quantum Number in Quantum Antiferromagnets on Archimedean Lattices
• Spin dynamics and magnetic correlation length in two-dimensional quantum Heisenberg antiferromagnets
• Thermodynamics of layered Heisenberg magnets with arbitrary spin
• Loop algorithm for Heisenberg models with biquadratic interaction and phase transitions in two dimensions
• Parallel loop cluster quantum Monte Carlo simulation of quantum magnets based on global union-find graph algorithm
• Entanglement and quantum phase transition in quantum mixed spin chains
• Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems
• Magnetization profiles and NMR spectra of doped Haldane chains at finite temperatures
• The phase diagram of quantum systems: Heisenberg antiferromagnets
• Heisenberg antiferromagnet on the square lattice for S>=1
• Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction
• Classical Correlation-Length Exponent in Non-Universal Quantum Phase Transition of Diluted Heisenberg Antiferromagnet
• Self-adapting method for the localization of quantum critical points using Quantum Monte Carlo techniques
• Reconciling the correlation length for high-spin Heisenberg antiferromagnets
• The quantum Heisenberg antiferromagnet on the square lattice
• A quantum Monte Carlo algorithm for arbitrary high-spin Hamiltonians
• Quantum Heisenberg antiferromagnets: a survey of the activity in Firenze