Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron

Abstract

The observation of hysteresis effects in single molecule magnets like Mn${}_{12}$-acetate has initiated ideas of future applications in storage technology. The appearance of a hysteresis loop in such compounds is an outcome of their magnetic anisotropy. In this Letter we report that magnetic hysteresis occurs in a spin system without any anisotropy, specifically, where spins mounted on the vertices of an icosahedron are coupled by antiferromagnetic isotropic nearest-neighbor Heisenberg interaction giving rise to geometric frustration. At T=0 this system undergoes a first order metamagnetic phase transition at a critical field $\Bcrit$ between two distinct families of ground state configurations. The metastable phase of the system is characterized by a temperature and field dependent survival probability distribution.

arXiv comment4 pages, 4 figures, submitted to Physical Review Letters

References in corpus (6)

• Continuous Quantum Phase Transitions
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Finite low-temperature entropy of some strongly frustrated quantum spin lattices in the vicinity of the saturation field
• Competing Spin Phases in Geometrically Frustrated Magnetic Molecules
• Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
• Micromagnetic simulations of thermally activated magnetization reversal of nanoscale magnets

Cited by in corpus (37)

• Atomistic spin model simulations of magnetic nanomaterials
• Magnetic Cluster Excitations
• Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today
• Enhanced magnetocaloric effect in frustrated magnetic molecules with icosahedral symmetry
• The Antiferromagnetic Heisenberg Model on Clusters with Icosahedral Symmetry
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Calculating the energy spectra of magnetic molecules: application of real- and spin-space symmetries
• Whirling spin order in the quasicrystal approximant Au${}_{72}$Al${}_{14}$Tb${}_{14}$
• Frustration effects in magnetic molecules
• Giant magnetocaloric effect, magnetization plateaux and jumps of the regular Ising polyhedra
• Magnetic Exchange Interactions in the Molecular Nanomagnet Mn${}_{12}$
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Antiferromagnetic Heisenberg Model on the Icosahedron: Influence of Connectivity and the Transition from the Classical to the Quantum Limit
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Optimized implementation of the Lanczos method for magnetic systems
• Effect of anisotropy on small magnetic clusters
• Zero-temperature magnetic response of small fullerene molecules at the classical and full quantum limit
• Sampling the two-dimensional density of states g(E,M) of a giant magnetic molecule using the Wang-Landau method
• Thermally activated magnetization reversal in monoatomic magnetic chains on surfaces studied by classical atomistic spin-dynamics simulations
• Magnetic spectra in the tridiminished-icosahedron \{Fe${}_9$\} nano-cluster by inelastic neutron scattering
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Frustration effects in magnetic molecules
• Discontinuous quantum and classical magnetic response of the pentakis dodecahedron
• Ground States of Heisenberg Spin Clusters from Projected Hartree-Fock Theory
• Ground state magnetic response of two coupled dodecahedra
• Symmetry-Induced Universal Momentum-Transfer Dependencies for Inelastic Neutron Scattering on Anisotropic Spin Clusters
• Frustration-induced exotic properties of magnetic molecules
• Quantum Signatures of The Classical Disconnection Border
• Influence of the biquadratic exchange interaction in the classical ground state magnetic response of the antiferromagnetic icosahedron
• $\mathbf{\Delta }$S${}^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C${}_{60}$: Origin and the role of symmetry
• Theory of ground states for classical Heisenberg spin systems II
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• Origin of the classical magnetization discontinuities of the dodecahedron
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Entropic selection of magnetization in a frustrated 2D magnetic model
• Temperature Dependence of Nonlinear Susceptibilities in an Infinite Range Interaction Model