Exact Ground States of Frustrated Spin-1 Ising-Heisenberg and Heisenberg Ladders in a Magnetic Field

Abstract

Ground states of the frustrated spin-1 Ising-Heisenberg two-leg ladder with Heisenberg intra-rung coupling and only Ising interaction along legs and diagonals are rigorously found by taking advantage of local conservation of the total spin on each rung. The constructed ground-state phase diagram of the frustrated spin-1 Ising-Heisenberg ladder is then compared with the analogous phase diagram of the fully quantum spin-1 Heisenberg two-leg ladder obtained by density matrix renormalization group (DMRG) calculations. It is demonstrated that both investigated spin models exhibit quite similar magnetization scenarios, which involve intermediate plateaux at one-quarter, one-half and three-quarters of the saturation magnetization.

3 pages, 1 figure, contribution to proceedings of CSMAG'13 conference

References in corpus (4)

• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Frustration induced plateaux in S>=1/2 Heisenberg spin ladders
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
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Cited by in corpus (1)

• Multiple magnetization plateaus induced by farther neighbor interaction in an $S=1$ two-leg Heisenberg spin ladder