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

Weichselbaum, Andreas; Yin, Weiguo; Tsvelik, Alexei

doi:10.1103/physrevb.103.125120

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

Journal Article · Tue Mar 09 00:00:00 EST 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.125120· OSTI ID:1766770

^[1]; Yin, Weiguo ^[1]; Tsvelik, Alexei ^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States)

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 Ba₄Ir₃O₁₀. 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 in the regime when their bare coupling to the ladder is weakened

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704

OSTI ID:: 1766770

Report Number(s):: BNL-221031-2021-JAAM

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 12 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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