Magnon crystals and magnetic phases in a Kagomé-stripe antiferromagnet

Abstract

In this work we analyze the magnetization properties of an antiferromagnetic Kagomé stripe lattice, motivated by the recent synthesis of materials exhibiting this structure. By employing a variety of techniques that include numerical methods as Density Matrix Renormalization Group and Monte Carlo simulations, as well as analytical techniques, as perturbative low energy effective models and exact solutions, we characterize the magnetization process and magnetic phase diagram of a Kagomé stripe lattice. The model captures a variety of behaviors present in the two dimensional Kagomé lattice, which are described here by analytical models and numerically corroborated. In addition to the characterization of semiclassical intermediate plateaus, it is worth noting the determination of an exact magnon crystal phase which breaks the underlying symmetry of the lattice. This magnon crystal phase generalizes previous findings and according to our knowledge is reported here for the first time.

arXiv comment14 figures, 11 pages

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• Magnon crystallization in the kagome lattice antiferromagnet
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• A theoretical model for tellurite-sulfates Na${}_2$Cu${}_5$(TeO${}_3$)(SO${}_4$)${}_3$(OH)${}_4$ and K${}_2$Cu${}_5$(TeO${}_3$)(SO${}_4$)${}_3$(OH)${}_4$
• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Current jumps in flat band ladders with Dzyaloshinskii-Moriya interactions
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets