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.

arXiv commentPaper 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 (59)

• Band touching from real space topology in frustrated hopping models
• Exotic electronic states in the world of flat bands: from theory to material
• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Magnetocaloric effect and magnetic cooling near a field-induced quantum-critical point
• Magnetism of the N=42 kagome lattice antiferromagnet
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Disordered flat bands on the kagome lattice
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Magnon crystallization in the kagome lattice antiferromagnet
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• 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
• Magnetocaloric effect in the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds
• 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
• Magnetic properties, Lyapunov exponent and superstability of the spin-1/2 Ising-Heisenberg model on diamond chain
• Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Flat-band Ferromagnetism of the SU$(N)$ Hubbard Model on the Tasaki Lattice
• Quench dynamics of quantum spin models with flat bands of excitations
• 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
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Solitary excitations in one-dimensional spin chains
• 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
• Pair formation of hard core bosons in flat band systems
• Particle Statistics, Frustration, and Ground-State Energy
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Bose-Hubbard model on two-dimensional line graphs
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Hard-core bosons in flat band systems above the critical density
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• 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
• Magnetization plateaus, spin-canted orders and field-induced transitions in a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice
• Unveiling the degeneracy of bound magnon crystals from magnetic and thermodynamic features of the spin-1/2 Heisenberg octahedral chain
• Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• 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