Ising phases of Heisenberg ladders in a magnetic field

Abstract

We examine the influence of weak anisotropic interactions on the T=0 phase diagram of the frustrated two-leg Heisenberg ladder, a well-studied spin model exhibiting integer and fractional magnetization plateaux separated by gapless incommensurate states. We find that the Dzyaloshinskii--Moriya coupling may substantially modify the phase diagram so that the half-integer plateau and the surrounding gapless phases merge into a single Ising-ordered phase breaking the translational symmetry of the lattice. A different Ising order is found for a weakly frustrated ladder. Implications for experimental ladder and dimer systems are discussed.

5 pages, 5 figures

References in corpus (3)

• Condensation of magnons and spinons in a frustrated ladder
• Uniform and staggered magnetizations induced by Dzyaloshinskii-Moriya interactions in isolated and coupled spin 1/2 dimers in a magnetic field
• Field Induced Staggered Magnetization and Magnetic Ordering in $C{u}_2(C_5{H}_{12}{N}_2{)}_{2}C{l}_4$

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• Anisotropy of Magnetic Interactions in the Spin-Ladder Compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6
• Field-Induced Gap in a Quantum Spin-1/2 Chain in a Strong Magnetic Field
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Magnetization plateaux and jumps in a frustrated four-leg spin tube under a magnetic field
• Quantum bicritical point and phase separation in a frustrated Heisenberg ladder
• Torque anomalies at magnetization plateaux in quantum magnets with Dzyaloshinskii-Moriya interactions