Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron

Abstract

We present up to date investigations of the antiferromagnetic Heisenberg icosidodecahedron by means of the Density Matrix Renormalization Group method. We compare our results with modern Correlator Product State as well as Lanczos calculations.

arXiv comment20 pages, 11 figures

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Cited by in corpus (18)

• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising polyhedra
• Observation of competing, correlated ground states in the flat band of rhombohedral graphite
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
• Advanced quantum methods for the largest magnetic molecules
• Accuracy of the typicality approach using Chebyshev polynomials
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Ground States of Heisenberg Spin Clusters from Projected Hartree-Fock Theory
• Magnetic properties of a capped kagome molecule with 60 quantum spins
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Symmetry-Induced Universal Momentum-Transfer Dependencies for Inelastic Neutron Scattering on Anisotropic Spin Clusters
• Magnetization distribution in a spin ladder-shaped quantum nanomagnet
• Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models
• Energy Scale Deformation on Regular Polyhedra
• Low-spin ground state of the giant single-molecule magnets {Mn${}_{70}$} and {Mn${}_{84}$}