Localized-magnon states in strongly frustrated quantum spin lattices

Abstract

Recent developments concerning localized-magnon eigenstates in strongly frustrated spin lattices and their effect on the low-temperature physics of these systems in high magnetic fields are reviewed. After illustrating the construction and the properties of localized-magnon states we describe the plateau and the jump in the magnetization process caused by these states. Considering appropriate lattice deformations fitting to the localized magnons we discuss a spin-Peierls instability in high magnetic fields related to these states. Last but not least we consider the degeneracy of the localized-magnon eigenstates and the related thermodynamics in high magnetic fields. In particular, we discuss the low-temperature maximum in the isothermal entropy versus field curve and the resulting enhanced magnetocaloric effect, which allows efficient magnetic cooling from quite large temperatures down to very low ones.

21 pages, 10 figures, invited paper for a special issue of "Low Temperature Physics " dedicated to the 70-th anniversary of creation of concept "antiferromagnetism" in physics of magnetism

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• Enhanced magnetocaloric effect in frustrated magnets
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• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Finite low-temperature entropy of some strongly frustrated quantum spin lattices in the vicinity of the saturation field
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• Intrinsic susceptibility and bond defects in the novel 2D frustrated antiferromagnet Ba${}_2$Sn${}_2$ZnCr${}_{7p}$Ga${}_{10-7p}$O${}_{22}$
• Sequence of first-order quantum phase transitions in a frustrated spin half dimer-plaquette chain
• Tetramerisation of a frustrated spin-1/2 chain
• Study of an Antiferromagnetic Sawtooth Chain with Spin-1/2 and Spin-1 sites

Cited by in corpus (22)

• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• 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
• Exact solution for quantum spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions
• Enhancement of magnetization plateaus in low dimensional spin systems
• Quench dynamics of quantum spin models with flat bands of excitations
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Quantum spin spiral ground state of the ferrimagnetic sawtooth chain
• Ground state, magnetization process and magnetocaloric effect of the exactly tractable spin-electron tetrahedral chain
• Magnetic properties of a capped kagome molecule with 60 quantum spins
• Noncollinear phase of the antiferromagnetic sawtooth chain
• Family of exactly solvable models with an ultimative quantum paramagnetic ground state
• Low-spin ground state of the giant single-molecule magnets {Mn${}_{70}$} and {Mn${}_{84}$}
• Electric-field driven flat bands in the distorted sawtooth chain via the Katsura-Nagaosa-Balatsky mechanism
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice
• Magnetization of electronic ground states in frustrated superstable graphs
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain