Resonant inelastic x-ray scattering spectra of spinon, doublon, and quarton excitations of a spin-12 antiferromagnetic Heisenberg trimer chain

作     者：Junli Li Jun-Qing Cheng Trinanjan Datta Dao-Xin Yao 

作者机构：State Key Laboratory of Optoelectronic Materials and Technologies Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices Center for Neutron Science and Technology School of Physics Sun Yat-Sen University Guangzhou 510275 China School of Physical Sciences Great Bay University Dongguan 523000 China and Great Bay Institute for Advanced Study Dongguan 523000 China Department of Physics and Biophysics Augusta University 1120 15th Street Augusta Georgia 30912 USA Kavli Institute for Theoretical Physics University of California Santa Barbara California 93106 USA 

出 版 物：《Physical Review B》 (Phys. Rev. B)

年 卷 期：2025年第111卷第2期

页      面：024404-024404页

核心收录：

基　　金：Dongguan Key Laboratory of Artificial Intelligence Design for Advanced Materials NSFC-92165204 National Science Foundation, NSF, (NSFC-12047562, PHY-1748958) National Science Foundation, NSF Special Project in Key Areas for Universities in Guangdong Province, (2023ZDZX3054) NSFC-12494591, (201626003) Research Center for Magnetoelectric Physics of Guangdong Province, (2024B0303390001) Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, (2022B1212010008) Guangdong Provincial Quantum Science Strategic Initiative, (GDZX2401010) 

主　　题：X ray scattering 

摘      要：We investigate the excitation spectra of a spin-1/2 antiferromagnetic Heisenberg trimer spin chain by employing a combination of numerical and theoretical techniques. Utilizing the Krylov-space correction-vector method in density matrix renormalization group (DMRG), we calculate both the direct and indirect resonant inelastic x-ray scattering (RIXS) spectra for the trimer spin chain. To interpret the observed features in the RIXS spectra, we perform a theoretical perturbative analysis to compute the energy dispersions, which are then utilized to determine the density of states (DOS) for both the single-particle and the two-particle excitation spectra. Our results show that the single-particle continua of the direct RIXS spectrum align with the energy levels observed in the DOS spectra of spinon, doublon, and quarton excitations. Furthermore, the two-particle continua are revealed in the indirect RIXS process, where all possible single-particle excitations combine to form the various two-particle excitations of the trimer spin chain. Based on our calculations, we propose the RIXS mechanism of generating the fractionalized (spinon) and collective (doublon and quarton) excitations in the trimer spin chain at both the L edge and the K edge, including discussing the interplay of these excitations in the RIXS spectrum for various trimer coupling strength. The computed energy range of the excitations suggest the possibility of experimental detection at both the L edge and the K edge within the current capabilities of RIXS instrumentation resolution.