Dimerization and spin-decoupling in two-leg Heisenberg ladder with frustrated trimer rungs

Abstract

We study the antiferromagnetic spin-half Heisenberg ladder in the presence of an additional frustrating rung spin which is motivated and relevant also for the description of real two-dimensional materials such as the two-dimensional trimer magnet Ba${}_4$Ir${}_3$O${}_{10}$. We study the zero-temperature phase diagram, where we combine numerical and analytical methods into an overall consistent description. All numerical simulations are also accompanied by studies of the dynamical spin structure factor obtained via the density matrix renormalization group. Overall, we find in the regime of strong rung coupling a gapped dimerized phase related to competing symmetry sectors in Hilbert space that ultimately results in frustration-driven spin-Peierls transition. In the weak rung-coupling regime, the system is uniform, yet shows a gapped spinon continuum together with a sharp coherent low-energy branch which renders the system critical overall. In either case, the additional rung spin quickly get sidelined and nearly decouple once their bare coupling to the ladder drops somewhat below the direct Heisenberg coupling of the legs.

arXiv comment14 + 3 pages, 13 figures; fixes of typos and minor textual changes

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Cited by in corpus (7)

• Fractional and composite excitations of antiferromagnetic quantum spin trimer chains
• A paradigm of spontaneous marginal phase transition at finite temperature in one-dimensional ladder Ising models
• Emergence of spinons in layered trimer iridate Ba4Ir3O10
• Phase Switch Driven by the Hidden Half-Ice, Half-Fire State in a Ferrimagnet
• Spin Frustration and a `Half Fire, Half Ice' Critical Point from Nonuniform $g$-Factors
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Ising spin ladder with trimer rungs and next-nearest-neighbor coupling. Frustration in physics and agent models