Universal properties of highly frustrated quantum magnets in strong magnetic fields

Abstract

The purpose of the present paper is two-fold. On the one hand, we review some recent studies on the low-temperature strong-field thermodynamic properties of frustrated quantum spin antiferromagnets which admit the so-called localized-magnon eigenstates. One the other hand, we provide some complementary new results. We focus on the linear independence of the localized-magnon states, the estimation of their degeneracy with the help of auxiliary classical lattice-gas models and the analysis of the contribution of these states to thermodynamics.

Paper based on the invited talk given by J. Richter at the International Conference "Statistical Physics 2006. Condensed Matter: Theory and Applications" dedicated to the 90th anniversary of Ilya Lifshitz (Kharkiv, 11-15 September, 2006)

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Cited by in corpus (35)

• Exotic electronic states in the world of flat bands: from theory to material
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Magnetocaloric effect in spin-1/2 $XX$ chains with three-spin interactions
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Thermodynamic properties of Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ in strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet
• Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• 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
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Persistence of the flat band in a kagome magnet with dipolar interactions
• Semiquantitative theory for high-field low-temperature properties of a distorted diamond spin chain
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Ground-state degeneracy and low-temperature thermodynamics of correlated electrons on highly frustrated lattices
• Low-temperature thermodynamics of one class of flat-band models
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• Magnetization plateaus, spin-canted orders and field-induced transitions in a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice
• Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices
• Unveiling the degeneracy of bound magnon crystals from magnetic and thermodynamic features of the spin-1/2 Heisenberg octahedral chain
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
• Quantum Heisenberg antiferromagnet in a field on the Tasaki square lattice