Three-Magnon Bound State in the Quasi-One-Dimensional Antiferromagnet α-NaMnO2

Rebecca L. Dally; Alvin J.R. Heng; Anna Keselman; Mitchell M. Bordelon; Matthew B. Stone; Leon Balents; Stephen D. Wilson

doi:10.1103/PhysRevLett.124.197203

Three-Magnon Bound State in the Quasi-One-Dimensional Antiferromagnet α-NaMnO2

Rebecca L. Dally, Alvin J.R. Heng, Anna Keselman, Mitchell M. Bordelon, Matthew B. Stone, Leon Balents, Stephen D. Wilson

Direct Geometry

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Abstract

Here we report on the formation of a three-magnon bound state in the quasi-one-dimensional antiferromagnet α-NaMnO2, where the single-ion, uniaxial anisotropy inherent to the Mn3+ ions in this material provides a binding mechanism capable of stabilizing higher order magnon bound states. While such states have long remained elusive in studies of antiferromagnetic chains, neutron scattering data presented here demonstrate that higher order n>2 composite magnons exist, and, specifically, that a weak three-magnon bound state is detected below the antiferromagnetic ordering transition of NaMnO2. We corroborate our findings with exact numerical simulations of a one-dimensional Heisenberg chain with easy-axis anisotropy using matrix-product state techniques, finding a good quantitative agreement with the experiment. These results establish α-NaMnO2 as a unique platform for exploring the dynamics of composite magnon states inherent to a classical antiferromagnetic spin chain with Ising-like single ion anisotropy.

Original language	English
Article number	197203
Journal	Physical Review Letters
Volume	124
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.124.197203
State	Published - May 15 2020

Funding

This work was supported by DOE, Office of Science, Basic Energy Sciences under Award No. DE-SC0017752 (S. D. W., R. D., and M. B.). Work by L. B. was supported by the DOE, Office of Science, Basic Energy Sciences under Award No. DE-FG02-08ER46524. This research is funded in part by the Gordon and Betty Moore Foundation to support the work of A. K. through Grant No. GBMF8690 to UCSB. A. J. R. H. thanks the Nanyang Technological University for financial support through the CN Yang Scholars Program. M. B. also received partial support from the National Science Foundation Graduate Research Fellowship Program under Grant No. 1650114. Use was made of the computational facilities administered by the Center for Scientific Computing at the California Nanosystems Institute (CNSI) and Materials Research Lab (MRL) (an NSF Materials Research Science and Engineering Center (MRSEC); DMR-1720256) and purchased through NSF CNS-1725797. A portion of this research used resources at the Spallation Neutron Source, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory.

Funders	Funder number
National Science Foundation	1650114
U.S. Department of Energy
Directorate for Computer and Information Science and Engineering	1725797
Gordon and Betty Moore Foundation	GBMF8690
Office of Science
Basic Energy Sciences	DE-SC0017752, DE-FG02-08ER46524
Nanyang Technological University

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10.1103/PhysRevLett.124.197203

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title = "Three-Magnon Bound State in the Quasi-One-Dimensional Antiferromagnet α-NaMnO2",

abstract = "Here we report on the formation of a three-magnon bound state in the quasi-one-dimensional antiferromagnet α-NaMnO2, where the single-ion, uniaxial anisotropy inherent to the Mn3+ ions in this material provides a binding mechanism capable of stabilizing higher order magnon bound states. While such states have long remained elusive in studies of antiferromagnetic chains, neutron scattering data presented here demonstrate that higher order n>2 composite magnons exist, and, specifically, that a weak three-magnon bound state is detected below the antiferromagnetic ordering transition of NaMnO2. We corroborate our findings with exact numerical simulations of a one-dimensional Heisenberg chain with easy-axis anisotropy using matrix-product state techniques, finding a good quantitative agreement with the experiment. These results establish α-NaMnO2 as a unique platform for exploring the dynamics of composite magnon states inherent to a classical antiferromagnetic spin chain with Ising-like single ion anisotropy.",

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AU - Keselman, Anna

AU - Bordelon, Mitchell M.

AU - Stone, Matthew B.

AU - Balents, Leon

AU - Wilson, Stephen D.

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AB - Here we report on the formation of a three-magnon bound state in the quasi-one-dimensional antiferromagnet α-NaMnO2, where the single-ion, uniaxial anisotropy inherent to the Mn3+ ions in this material provides a binding mechanism capable of stabilizing higher order magnon bound states. While such states have long remained elusive in studies of antiferromagnetic chains, neutron scattering data presented here demonstrate that higher order n>2 composite magnons exist, and, specifically, that a weak three-magnon bound state is detected below the antiferromagnetic ordering transition of NaMnO2. We corroborate our findings with exact numerical simulations of a one-dimensional Heisenberg chain with easy-axis anisotropy using matrix-product state techniques, finding a good quantitative agreement with the experiment. These results establish α-NaMnO2 as a unique platform for exploring the dynamics of composite magnon states inherent to a classical antiferromagnetic spin chain with Ising-like single ion anisotropy.

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Three-Magnon Bound State in the Quasi-One-Dimensional Antiferromagnet α-NaMnO2

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