Details
| Original language | English |
|---|---|
| Article number | 165118 |
| Journal | Physical Review B |
| Volume | 104 |
| Issue number | 16 |
| Early online date | 11 Oct 2021 |
| Publication status | Published - 11 Oct 2021 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 104, No. 16, 165118, 11.10.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-Abelian statistics in light-scattering processes across interacting Haldane chains
AU - Gnezdilov, Vladimir
AU - Kurnosov, Vladimir
AU - Pashkevich, Yurii
AU - Bera, Anup Kumar
AU - Islam, A. T.M.Nazmul
AU - Lake, Bella
AU - Lobbenmeier, Bodo
AU - Wulferding, Dirk
AU - Lemmens, Peter
N1 - 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).
PY - 2021/10/11
Y1 - 2021/10/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85117090091&partnerID=8YFLogxK
U2 - 10.1103/physrevb.104.165118
DO - 10.1103/physrevb.104.165118
M3 - Article
AN - SCOPUS:85117090091
VL - 104
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 16
M1 - 165118
ER -