Non-Abelian statistics in light-scattering processes across interacting Haldane chains

authored by: Vladimir Gnezdilov, Vladimir Kurnosov, Yurii Pashkevich, Anup Kumar Bera, A. T.M.Nazmul Islam, Bella Lake, Bodo Lobbenmeier, Dirk Wulferding, Peter Lemmens
Abstract: The Haldane state is constructed from a product of local singlet dimers in the bulk and topological states at the edges of a chain. It is a fundamental representative of topological quantum matter. Its well-known archetype, the quasi-one-dimensional shows both conventional as well as unconventional magnetic Raman scattering. The former is observed as one- and two-triplet excitations with small linewidths and energies corresponding to the Haldane gap and the exchange coupling along the chain, respectively. Well-defined magnetic quasiparticles are assumed to be stabilized by interchain interactions and uniaxial single-ion anisotropy. Unconventional scattering exists as broad continua of scattering with an intensity that shows fermionic statistics. Such statistics has also been observed in Kitaev spin liquids and could point to a non-Abelian symmetry. As the ground state in the bulk of is topologically trivial, we suggest its fractionalization to be due to light-induced interchain exchange processes. These processes are supposed to be enhanced due to a proximity to an Ising ordered state with a quantum critical point. A comparison with , the analog to our title compound, supports these statements.
External Organisation(s): B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Technische Universität Braunschweig
National Academy of Sciences in Ukraine
Helmholtz-Zentrum Berlin für Materialien und Energie (HZB)
Bhabha Atomic Research Centre
Technische Universität Berlin
Seoul National University
Type: Article
Journal: Physical Review B
Volume: 104
ISSN: 2469-9950
Publication date: 11.10.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s): https://doi.org/10.1103/physrevb.104.165118 (Access: Closed)

BibTeX

@article{1c9b213a92a64d1f88afedb1c4b0466c,
title = "Non-Abelian statistics in light-scattering processes across interacting Haldane chains",
abstract = "The Haldane state is constructed from a product of local singlet dimers in the bulk and topological states at the edges of a chain. It is a fundamental representative of topological quantum matter. Its well-known archetype, the quasi-one-dimensional shows both conventional as well as unconventional magnetic Raman scattering. The former is observed as one- and two-triplet excitations with small linewidths and energies corresponding to the Haldane gap and the exchange coupling along the chain, respectively. Well-defined magnetic quasiparticles are assumed to be stabilized by interchain interactions and uniaxial single-ion anisotropy. Unconventional scattering exists as broad continua of scattering with an intensity that shows fermionic statistics. Such statistics has also been observed in Kitaev spin liquids and could point to a non-Abelian symmetry. As the ground state in the bulk of is topologically trivial, we suggest its fractionalization to be due to light-induced interchain exchange processes. These processes are supposed to be enhanced due to a proximity to an Ising ordered state with a quantum critical point. A comparison with , the analog to our title compound, supports these statements.",
author = "Vladimir Gnezdilov and Vladimir Kurnosov and Yurii Pashkevich and Bera, {Anup Kumar} and Islam, {A. T.M.Nazmul} and Bella Lake and Bodo Lobbenmeier and Dirk Wulferding and Peter Lemmens",
note = "Funding information: Deutsche Forschungsgemeinschaft Institute for Basic Science We acknowledge important discussions with W. Brenig, J. Knolle, and S. R. Manmana. This research was funded by the Deutsche Forschungsgemeinschaft Excellence Cluster QuantumFrontiers, EXC 2123 - 390837967, as well as by Deutsche Forschungsgemeinschaft (DFG) Le967/16-1, Deutsche Forschungsgemeinschaft DFG-RTG 1952/1, and the Quantum- and Nano-Metrology (QUANOMET) initiative within project NL-4. D.W. acknowledges support by the Institute for Basic Science (Grant No. IBS-R009-Y3). B.L. acknowledges the support of the Deutsche Forschungsgemeinschaft (DFG) through the project B06 of the SFB-1143 (ID247310070).",
year = "2021",
month = oct,
day = "11",
doi = "10.1103/physrevb.104.165118",
language = "English",
volume = "104",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "16",
}