Quantum spin chains in a magnetic field

Abstract

We demonstrate that the ``worm'' algorithm allows very effective and precise quantum Monte Carlo (QMC) simulations of spin systems in a magnetic field, and its auto-correlation time is rather insensitive to the value of H at low temperature. Magnetization curves for the $s=1/2$ and $s=1$ chains are presented and compared with existing Bethe ansatz and exact diagonalization results. From the Green function analysis we deduce the magnon spectra in the s=1 system, and directly establish the "relativistic" form E(p)=(Δ^2 +v^2 p^2)^{1/2} of the dispersion law.

6 pages, 8 figures; removed discussion of spin-2 case - will be published later in a separate paper

References in corpus (12)

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• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Finite-lattice extrapolations for a Haldane gap antiferromagnet
• Phase diagram of depleted Heisenberg model for CaV4O9
• Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain
• Exact Quantum Monte Carlo Process for the Statistics of Discrete Systems
• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Nearly critical ground state of LaCuO2.5
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• Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
• Low temperature magnetization and the excitation spectrum of antiferromagnetic Heisenberg spin rings
• The Haldane gap for the S=2 antiferromagnetic Heisenberg chain revisited
• Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube
• Global phase diagram of three-dimensional extended Boson Hubbard model - a continuous time Quantum Monte Carlo study
• Many-spin effects and tunneling splittings in Mn12 magnetic molecules
• Efficient Quantum Simulation for Thermodynamics of Infinite-size Many-body Systems in Arbitrary Dimensions
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• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields
• Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction
• Many-Spin Effects and Tunneling Properties of Magnetic Molecules
• Unveiling chiral states in the XXZ chain: Finite-size scaling probing symmetry-enriched $c=1$ conformal field theories
• Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field $XY$ model
• Loop Algorithms for Asymmetric Hamiltonians
• Honeycomb Heisenberg Spin Ladder: Unusual Ground State and Thermodynamic Properties
• Two-dimensional easy-plane SU$(3)$ magnet with the transverse field: Anisotropy-driven multicriticality