Frustrated spin ladder with alternating spin-1 and spin-1/2 rungs

Abstract

We study the impact of the diagonal frustrating couplings on the quantum phase diagram of a two-leg ladder composed of alternating spin-1 and spin-1/2 rungs. As the coupling strength is increased the system successively exhibits two gapped paramagnetic phases (a rung-singlet and a Haldane-like non-degenerate states) and two ferrimagnetic phases with different ferromagnetic moments per rung. The first two states are similar to the phases studied in the frustrated spin-1/2 ladder, whereas the magnetic phases appear as a result of the mixed-spin structure of the model. A detailed characterization of these phases is presented using density-matrix renormalization-group calculations, exact diagonalizations of periodic clusters, and an effective Hamiltonian approach inspired by the analysis of numerical data. The present theoretical study was motivated by the recent synthesis of the quasi-one-dimensional ferrimagnetic material Fe${}^{II}$Fe${}^{III}$ (trans-1,4-cyclohexanedicarboxylate) exhibiting a similar ladder structure.

10 pages, 8 figures

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Cited by in corpus (6)

• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Mixed-spin Heisenberg ladders in a magnetic field
• Magnetic properties of alternating Hubbard ladders
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases