High-Temperature Series Expansion for Spin-1/2 Heisenberg Models

Abstract

We present a high-temperature series expansion code for spin-1/2 Heisenberg models on arbitrary lattices. As an example we demonstrate how to use the application for an anisotropic triangular lattice with two independent couplings J1 and J2 and calculate the high-temperature series of the magnetic susceptibility and the static structure factor up to 12th and 10th order, respectively. We show how to extract effective coupling constants for the triangular Heisenberg model from experimental data on Cs2CuBr4.

arXiv comment10 pages, 6 figures

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Cited by in corpus (9)

• Frustrated two dimensional quantum magnets
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
• Tetragonal mixed system $C{s}_{2}CuC{l}_{4-x}B{r}_x$ complemented by the tetragonal phase realisation of $C{s}_{2}CuC{l}_4$
• Linked Cluster Expansions via Hypergraph Decompositions
• Magnetic phase diagram of the triangular antiferromagnetic $C{s}_{2}CuC{l}_{4-x}B{r}_x$ mixed system
• Recursive algorithm for generating high-temperature expansions for spin systems and the chiral non-linear susceptibility
• High-temperature series expansion of the dynamic Matsubara spin correlator