Magnetic Phase Diagram of Frustrated Spin Ladder

Abstract

Frustrated spin ladders show magnetization plateaux depending on the rung-exchange interaction and frustration defined by the ratio of first and second neighbor exchange interactions in each chain. This paper is the first report on its magnetic phase diagram. Using the variational matrix-product state method, we accurately determine phase boundaries. Several kinds of magnetization plateaux are induced by the frustration and the strong correlation among quasi-particles on a lattice. The appropriate description of quasi-particles and their relevant interactions are changed by a magnetic field. We find that the frustration differentiates the triplet quasi-particle from the singlet one in kinetic energy.

11 pages, 4 figures

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Cited by in corpus (7)

• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Magnetic excitations in magnetization plateaux of a frustrated spin ladder
• Multiple magnetization plateaus induced by farther neighbor interaction in an $S=1$ two-leg Heisenberg spin ladder
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Realization of a triangular spin necklace in a verdazyl-based Ni complex
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain