Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets

Abstract

In this paper, we investigate the properties of frustrated three-leg spin tubes under a magnetic field. We concentrate on two kind of geometries for these tubes, one of which is relevant for the compound $[(\mathrm{CuC}{\mathrm{l}}_2\mathrm{tachH}{)}_3\mathrm{Cl}]\mathrm{C}{\mathrm{l}}_2$. We combine an analytical path integral approach with a strong coupling approach, as well as large-scale Density Matrix Renormalization Groups (DMRG) simulations, to identify the presence of plateaux in the magnetization curve as a function of the value of spin $S$. We also investigate the issue of gapless non-magnetic excitations on some plateaux, dubbed chirality degrees of freedom for both tubes.

17 pages

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Cited by in corpus (10)

• Ground state phase diagram of twisted three-leg spin tube in magnetic field
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• Quantum phases of a frustrated four-leg spin tube
• Diagnosing order by disorder in quantum spin systems
• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Quantum criticality in an asymmetric three-leg spin tube: A strong rung-coupling perspective
• An effective field theory approach for the $S=3/2$ bilayer honeycomb antiferromagnet
• Realization of a triangular spin necklace in a verdazyl-based Ni complex
• Anomalies of kagome antiferromagnets on magnetization plateaus