Understanding temperature-dependent SU(3) spin dynamics in the S = 1 antiferromagnet Ba2FeSi2O7

Seung Hwan Do; Hao Zhang; David A. Dahlbom; Travis J. Williams; V. Ovidiu Garlea; Tao Hong; Tae Hwan Jang; Sang Wook Cheong; Jae Hoon Park; Kipton Barros; Cristian D. Batista; Andrew D. Christianson

doi:10.1038/s41535-022-00526-7

Understanding temperature-dependent SU(3) spin dynamics in the S = 1 antiferromagnet Ba₂FeSi₂O₇

Seung Hwan Do, Hao Zhang, David A. Dahlbom, Travis J. Williams, V. Ovidiu Garlea, Tao Hong, Tae Hwan Jang, Sang Wook Cheong, Jae Hoon Park, Kipton Barros, Cristian D. Batista, Andrew D. Christianson

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Abstract

Quantum magnets admit more than one classical limit and N-level systems with strong single-ion anisotropy are expected to be described by a classical approximation based on SU(N) coherent states. Here we test this hypothesis by modeling finite temperature inelastic neutron scattering (INS) data of the effective spin-one antiferromagnet Ba₂FeSi₂O₇. The measured dynamic structure factor is calculated with a generalized Landau-Lifshitz dynamics for SU(3) spins. Unlike the traditional classical limit based on SU(2) coherent states, the results obtained with classical SU(3) spins are in good agreement with the measured temperature dependent spectrum. The SU(3) approach developed here provides a general framework to understand the broad class of materials comprising weakly coupled antiferromagnetic dimers, trimers, or tetramers, and magnets with strong single-ion anisotropy.

Original language	English
Article number	5
Journal	npj Quantum Materials
Volume	8
Issue number	1
DOIs	https://doi.org/10.1038/s41535-022-00526-7
State	Published - Dec 2023

Funding

This work was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. This research used resources at the High Flux Isotope Reactor and Spallation Neutron Source, DOE Office of Science User Facilities operated by the Oak Ridge National Laboratory (ORNL). The work at Max Planck POSTECH/Korea Research Initiative was supported by the National Research Foundation of Korea(NRF) funded by the Ministry of Science and ICT (2020M3H4A2084417 and 2022M3H4A1A04074153) The work at Rutgers University was supported by the DOE under Grant No. DOE: DE-FG02-07ER46382. D.D., K.B., and C.D.B. acknowledge support from U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Award No. DE-SC0022311. This work was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. This research used resources at the High Flux Isotope Reactor and Spallation Neutron Source, DOE Office of Science User Facilities operated by the Oak Ridge National Laboratory (ORNL). The work at Max Planck POSTECH/Korea Research Initiative was supported by the National Research Foundation of Korea(NRF) funded by the Ministry of Science and ICT (2020M3H4A2084417 and 2022M3H4A1A04074153) The work at Rutgers University was supported by the DOE under Grant No. DOE: DE-FG02-07ER46382. D.D., K.B., and C.D.B. acknowledge support from U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Award No. DE-SC0022311.

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title = "Understanding temperature-dependent SU(3) spin dynamics in the S = 1 antiferromagnet Ba2FeSi2O7",

abstract = "Quantum magnets admit more than one classical limit and N-level systems with strong single-ion anisotropy are expected to be described by a classical approximation based on SU(N) coherent states. Here we test this hypothesis by modeling finite temperature inelastic neutron scattering (INS) data of the effective spin-one antiferromagnet Ba2FeSi2O7. The measured dynamic structure factor is calculated with a generalized Landau-Lifshitz dynamics for SU(3) spins. Unlike the traditional classical limit based on SU(2) coherent states, the results obtained with classical SU(3) spins are in good agreement with the measured temperature dependent spectrum. The SU(3) approach developed here provides a general framework to understand the broad class of materials comprising weakly coupled antiferromagnetic dimers, trimers, or tetramers, and magnets with strong single-ion anisotropy.",

author = "Do, \{Seung Hwan\} and Hao Zhang and Dahlbom, \{David A.\} and Williams, \{Travis J.\} and Garlea, \{V. Ovidiu\} and Tao Hong and Jang, \{Tae Hwan\} and Cheong, \{Sang Wook\} and Park, \{Jae Hoon\} and Kipton Barros and Batista, \{Cristian D.\} and Christianson, \{Andrew D.\}",

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year = "2023",

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doi = "10.1038/s41535-022-00526-7",

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AU - Do, Seung Hwan

AU - Zhang, Hao

AU - Dahlbom, David A.

AU - Williams, Travis J.

AU - Garlea, V. Ovidiu

AU - Hong, Tao

AU - Jang, Tae Hwan

AU - Cheong, Sang Wook

AU - Park, Jae Hoon

AU - Barros, Kipton

AU - Batista, Cristian D.

AU - Christianson, Andrew D.

PY - 2023/12

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N2 - Quantum magnets admit more than one classical limit and N-level systems with strong single-ion anisotropy are expected to be described by a classical approximation based on SU(N) coherent states. Here we test this hypothesis by modeling finite temperature inelastic neutron scattering (INS) data of the effective spin-one antiferromagnet Ba2FeSi2O7. The measured dynamic structure factor is calculated with a generalized Landau-Lifshitz dynamics for SU(3) spins. Unlike the traditional classical limit based on SU(2) coherent states, the results obtained with classical SU(3) spins are in good agreement with the measured temperature dependent spectrum. The SU(3) approach developed here provides a general framework to understand the broad class of materials comprising weakly coupled antiferromagnetic dimers, trimers, or tetramers, and magnets with strong single-ion anisotropy.

AB - Quantum magnets admit more than one classical limit and N-level systems with strong single-ion anisotropy are expected to be described by a classical approximation based on SU(N) coherent states. Here we test this hypothesis by modeling finite temperature inelastic neutron scattering (INS) data of the effective spin-one antiferromagnet Ba2FeSi2O7. The measured dynamic structure factor is calculated with a generalized Landau-Lifshitz dynamics for SU(3) spins. Unlike the traditional classical limit based on SU(2) coherent states, the results obtained with classical SU(3) spins are in good agreement with the measured temperature dependent spectrum. The SU(3) approach developed here provides a general framework to understand the broad class of materials comprising weakly coupled antiferromagnetic dimers, trimers, or tetramers, and magnets with strong single-ion anisotropy.

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Understanding temperature-dependent SU(3) spin dynamics in the S = 1 antiferromagnet Ba₂FeSi₂O₇

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