Frustration induced plateaux in S>=1/2 Heisenberg spin ladders

Abstract

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional values of the magnetization for all spins S, and to determine the critical ratios of parallel to diagonal inter-rung couplings for the appearance of these plateaux. These ratios depend both on the plateau and on the spin. To confirm these results, and to investigate the properties of these ladders away from the strong coupling limit, we have performed extensive density matrix renormalization group (DMRG) calculations for S <= 2. For large enough inter-rung couplings, all plateaux simply disappear, leading to a magnetization curve typical of integer-spin chains in a magnetic field. The intermediate region turns out to be surprisingly rich however, with, upon increasing the inter-rung couplings, the development of magnetization jumps and, in some cases, the appearance of one or more phase transitions inside a given plateau.

11 pages, 8 figures,accepted for publication in Phys. Rev. B

References in corpus (10)

• The density-matrix renormalization group
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Field Induced Supersolid Phase in Spin-One Heisenberg Models
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Quantum and thermal transitions out of the supersolid phase of a 2D quantum antiferromagnet
• Supersolid phase in spin dimer XXZ systems under magnetic field
• Condensation of magnons and spinons in a frustrated ladder
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Exact magnetization plateaus and phase transitions in spin-S Heisenberg antiferromagnets in arbitrary dimensions

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