Frustration-induced plateaus in S12 Heisenberg spin ladders

Frédéric Michaud, Tommaso Coletta, Salvatore R. Manmana, Jean-David Picon, and Frédéric Mila
Phys. Rev. B 81, 014407 – Published 8 January 2010

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 plateaus 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 plateaus. 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 calculations for S2. For large enough inter-rung couplings, all plateaus 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.

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  • Received 9 July 2009

DOI:https://doi.org/10.1103/PhysRevB.81.014407

©2010 American Physical Society

Authors & Affiliations

Frédéric Michaud, Tommaso Coletta, Salvatore R. Manmana, Jean-David Picon, and Frédéric Mila

  • Institute for Theoretical Physics, EPF Lausanne, CH-1015 Lausanne, Switzerland

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Issue

Vol. 81, Iss. 1 — 1 January 2010

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