Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds

Abstract

An exactly solvable model of the sawtooth chain with Ising and Heisenberg bonds and with coupling to lattice distortion for Heisenberg bonds is considered in the magnetic field. Using the direct transfer-matrix formalism an exact description of the thermodynamic functions is obtained. The ground state phase diagrams for all regions of parameters values containing phases corresponding to the magnetization plateaus at $M=0,1/4$ and 1/2 have been obtained. Exact formulas for bond distortions for various ground states are presented. A novel mechanism of magnetization plateau stabilization corresponding to $M=1/4$ state is reported.

16 pages, 12 figures

References in corpus (13)

• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Low-temperature thermodynamics for a flat-band ferromagnet: Rigorous versus numerical results
• Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds
• The sawtooth chain: From Heisenberg spins to Hubbard electrons
• Magnetization Plateaux in the Antiferromagnetic Ising Chain with Single-Ion Anisotropy
• Phase diagrams of the Ising-Heisenberg chain with S=1/2 triangular XXZ clusters
• Multiple frustration-induced plateaus in a magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain
• Influence of lattice distortions in classical spin systems
• Magneto-elastic effects and magnetization plateaus in two dimensional systems
• Ground-state degeneracy and low-temperature thermodynamics of correlated electrons on highly frustrated lattices

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• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain