Advanced Finite-Temperature Lanczos Method for anisotropic spin systems

Abstract

It is virtually impossible to evaluate the magnetic properties of large anisotropic magnetic molecules numerically exactly due to the huge Hilbert space dimensions as well as due to the absence of symmetries. Here we propose to advance the Finite-Temperature Lanczos Method (FTLM) to the case of single-ion anisotropy. The main obstacle, namely the loss of the spin rotational symmetry about the field axis, can be overcome by choosing symmetry related random vectors for the approximate evaluation of the partition function. We demonstrate that now thermodynamic functions for anisotropic magnetic molecules of unprecedented size can be evaluated.

7 pages, 6 figures

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Cited by in corpus (21)

• Magnetism of the N=42 kagome lattice antiferromagnet
• Frustrated two dimensional quantum magnets
• Krylov-projected quantum Monte Carlo
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Magnon crystallization in the kagome lattice antiferromagnet
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Thermodynamics of anisotropic triangular magnets with ferro- and antiferromagnetic exchange
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Thermodynamic observables of Mn12-acetate calculated for the full spin-Hamiltonian
• Long-time coherence in fourth-order spin correlation functions
• Accuracy of the typicality approach using Chebyshev polynomials
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Finite-size scaling of typicality-based estimates
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Thermal DMRG for highly frustrated quantum spin chains: a user perspective
• Towards lattice-gas description of low-temperature properties above the Haldane and cluster-based Haldane ground states of a mixed spin-(1,1/2) Heisenberg octahedral chain
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices