Abstract
Based on the Bethe ansatz approach and inelastic neutron scattering experiments, we reveal the evolution of confinement of many-body Bethe strings in ordered regions of the quasi-one-dimensional antiferromagnet Formula Presented. In the antiferromagnetic phase, the spin dynamics is dominated by confined length-1 Bethe strings, whose dominancy in the high-energy branch of the excitation spectrum yields to confined length-2 Bethe strings when the material is tuned to the spin-density-wave phase. In the thermal-induced disordered region, the confinement effect disappears, and the system restores the conventional quantum integrable physics of the one-dimensional Heisenberg model. Our results establish a unified picture based on a Bethe string for the spin dynamics in different magnetic phases of Formula Presented, and thus provide profound insight into many-body quantum magnetism.
| Original language | English |
|---|---|
| Article number | L020402 |
| Journal | Physical Review B |
| Volume | 108 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 1 2023 |
Funding
We acknowledge R. Yu for helpful discussions and R. Jiang for assistance in plotting Fig. 1(a). This work at Shanghai Jiao Tong University is supported by the National Natural Science Foundation of China No. 12274288 and the Innovation Program for Quantum Science and Technology Grant No. 2021ZD0301900, and the Natural Science Foundation of Shanghai with Grant No. 20ZR1428400 (J.Y. and J.W.). Work at Oak Ridge National Laboratory (ORNL) was supported by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. We thank J. Keum for assistance with the x-ray Laue measurements. S.E.N. acknowledges financial support from the innovation program under Marie Skłodowska-Curie Grant No. 884104. This research used resources at the Spallation Neutron Source, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory. X-ray Laue measurements were conducted at the Center for Nanophase Materials Sciences (CNMS) (CNMS2019-R18) at ORNL, which is a DOE Office of Science User Facility. We acknowledge R. Yu for helpful discussions and R. Jiang for assistance in plotting Fig. . This work at Shanghai Jiao Tong University is supported by the National Natural Science Foundation of China No. 12274288 and the Innovation Program for Quantum Science and Technology Grant No. 2021ZD0301900, and the Natural Science Foundation of Shanghai with Grant No. 20ZR1428400 (J.Y. and J.W.). Work at Oak Ridge National Laboratory (ORNL) was supported by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences, Materials Science and Engineering Division. We thank J. Keum for assistance with the x-ray Laue measurements. S.E.N. acknowledges financial support from the innovation program under Marie Skłodowska-Curie Grant No. 884104. This research used resources at the Spallation Neutron Source, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory. X-ray Laue measurements were conducted at the Center for Nanophase Materials Sciences (CNMS) (CNMS2019-R18) at ORNL, which is a DOE Office of Science User Facility.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy | |
| Office of Science | CNMS2019-R18 |
| Basic Energy Sciences | |
| Oak Ridge National Laboratory | |
| Natural Science Foundation of Shanghai | 20ZR1428400 |
| Division of Materials Sciences and Engineering | 884104 |
| National Natural Science Foundation of China | 2021ZD0301900, 12274288 |
| Shanghai Jiao Tong University |