Heisenberg-Ising delta-chain with bond alternation

Abstract

The spin-$\frac{1}{2}$ delta-chain (sawtooth chain) with antiferromagnetic Heisenberg basal chain and Ising apical-basal interactions is studied. The basal-apical interactions involve the bond alternation. The limiting cases of the model include the symmetrical delta-chain and the antiferromagnetic chain in the staggered magnetic field. We study ground state properties of the model by the exact diagonalization and density matrix renormalization group methods. The ground state phase diagram as a function of the bond alternation consists of magnetic and various non-magnetic phases. All phases excluding the ferrimagnetic phase are gapped and an origin of the gaps is cleared.

14 pages, 6 figures

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Cited by in corpus (7)

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• Enhancement of magnetization plateaus in low dimensional spin systems
• Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
• The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
• Two-dimensional spin models with macroscopic degeneracy
• The Magnetic Ground State of Atacamite Cu${}_2$Cl(OH)${}_3$: The Crucial Role of Frustrated Zigzag Chains Revealed by Inelastic Neutron Scattering
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain