Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today

Abstract

In magnetism, of which molecular magnetism is a part, the term frustration is used rather sloppily. Sometimes one gains the impression that if the reason for some phenomenon is not quite clear then it is attributed to frustration. In this paper I discuss the effects of frustration that I feel are relevant for the field of molecular magnetism. As will become clear later they indeed lead to a variety of unusual magnetic properties.

24 pages, 11 figures

References in corpus (14)

• Enhanced magnetocaloric effect in frustrated magnets
• Spin-enhanced magnetocaloric effect in molecular nanomagnets
• Magnetocaloric effect in one-dimensional antiferromagnets
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Enhanced magnetocaloric effect in frustrated magnetic molecules with icosahedral symmetry
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
• Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
• Numerically exact and approximate determination of energy eigenvalues for antiferromagnetic molecules using irreducible tensor operators and general point-group symmetries
• Linear independence of localized magnon states
• Low-temperature thermodynamics for a flat-band ferromagnet: Rigorous versus numerical results
• Frustration effects in antiferromagnetic molecules: the cuboctahedron
• Magneto-thermal properties of the spin-s Heisenberg antiferromagnet on the cuboctahedron

Cited by in corpus (42)

• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Magnetic Cluster Excitations
• Spin dynamics of molecular nanomagnets fully unraveled by four-dimensional inelastic neutron scattering
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Enhanced magnetocaloric effect in a proximity of magnetization steps and jumps of spin-1/2 XXZ Heisenberg regular polyhedra
• Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
• Frustration, Entanglement, and Correlations in Quantum Many Body Systems
• Large-scale numerical investigations of the antiferromagnetic Heisenberg icosidodecahedron
• Antiferromagnetic Heisenberg Model on the Icosahedron: Influence of Connectivity and the Transition from the Classical to the Quantum Limit
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Interpolation between low and high temperatures of the specific heat for spin systems
• A classification of magnetic frustration and metamaterials from topology
• Effect of anisotropy on small magnetic clusters
• Zero-temperature magnetic response of small fullerene molecules at the classical and full quantum limit
• Magnetization process and magnetocaloric effect in geometrically frustrated Ising antiferromagnet and spin ice models on a `Star of David' nanocluster
• Application of the finite-temperature Lanczos method for the evaluation of magnetocaloric properties of large magnetic molecules
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• A correlator product state study of molecular magnetism in the giant Keplerate Mo72Fe30
• Magnetization process and magnetocaloric effect of the spin-1/2 XXZ Heisenberg cuboctahedron
• Advanced quantum methods for the largest magnetic molecules
• The range of geometrical frustration in lattice spin models
• Unravelling the Spin Dynamics of Molecular Nanomagnets with Four-Dimensional Inelastic Neutron Scattering
• Design of Magnetic Textures of Ad-Nanocorrals with an Extra Adatom
• Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions
• Enhancement of the Magnetocaloric Effect in Geometrically Frustrated Cluster Spin Glass Systems
• 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
• Ground states of Heisenberg spin clusters from a cluster-based projected Hartree-Fock approach
• Symmetry-Induced Universal Momentum-Transfer Dependencies for Inelastic Neutron Scattering on Anisotropic Spin Clusters
• Determination of exchange energies in the sawtooth spin ring {Mo75V20} by ESR
• $\mathbf{\Delta }$S${}^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C${}_{60}$: Origin and the role of symmetry
• Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models
• A large-N approximated field theory for multipartite entanglement
• A Microscopic Approach to Quark and Lepton Masses and Mixings
• Thermodynamics of the classical spin triangle
• Energy Scale Deformation on Regular Polyhedra
• Origin of the classical magnetization discontinuities of the dodecahedron
• Review of the Microscopic Approach to the Higgs Mechanism and to Quark and Lepton Masses and Mixings
• Theoretical investigations of tetrameric magnetic molecules for sub-kelvin cooling