Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds

Details Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds

2009-08-25

arxiv.org/abs/0908.3594v4

Eur.Phys.J.B 75, 531 (2010)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 12 figures

Scientific paper

10.1140/epjb/e2010-00146-x

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.

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