Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models

doi:10.1007/s11467-024-1418-3

Frontiers of Physics

2024, Vol. 19

Issue (6): 63202 https://doi.org/10.1007/s11467-024-1418-3

本期目录

Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models

Yue-Yue Chang¹, Jun-Qing Cheng²(

), Hui Shao^3,⁴, Dao-Xin Yao^1,⁵(

), Han-Qing Wu¹(

)

¹. Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, State Key Laboratory of Optoelectronic Materials and Technologies, Center for Neutron Science and Technology, School of Physics, Sun Yat-sen University, Guangzhou 510275, China
². School of Physical Sciences, Great Bay University, Dongguan 523000, China & Great Bay Institute for Advanced Study, Dongguan 523000, China
³. Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
⁴. Key Laboratory of Multiscale Spin Physics, Ministry of Education, Beijing 100875, China
⁵. International Quantum Academy, Shenzhen 518048, China

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Abstract：

We investigate the magnetic excitations of the two-dimensional (2D) $S$ = 1/2 trimerized Heisenberg models with intratrimer interaction $J 1$ and intertrimer interaction $J 2$ on four different lattices using a combination of stochastic series expansion quantum Monte Carlo (SSE QMC) and stochastic analytic continuation methods (SAC), complemented by cluster perturbation theory (CPT). These models exhibit quasi-particle-like excitations when $g = J 2 / J 1$ is weak, characterized by low-energy magnons, intermediate-energy doublons, and high-energy quartons. The low-energy magnons are associated with the magnetic ground states. They can be described by the linear spin wave theory (LSWT) of the effective block spin model and the original spin model. Doublons and quartons emerge from the corresponding internal excitations of the trimers with distinct energy levels, which can be effectively analyzed using perturbative calculation when the ratio of exchange interactions $g$ is weak. In this weak $g$ regime, we observe a clear separation between the magnon and higher-energy spectra. As $g$ increases, doublon and quarton gradually merge into the magnon modes or some continua. Notably, in the Collinear II and trimerized Hexagon lattice, a broad continuum emerges above the single-magnon spectrum, originating from the quasi-1D physics due to the dilute connections between chains. In addition, we also compare our numerical results to the experimental RIXS spectrum and analyze the difference. Our numerical analysis of these 2D trimers yields valuable theoretical predictions and explanations for the inelastic neutron scattering (INS) spectra of 2D magnetic materials featuring trimerized lattices.

Key words： quantum Monte Carlo trimerized Heisenberg model

收稿日期: 2024-04-21 出版日期: 2024-07-16

Corresponding Author(s): Jun-Qing Cheng,Dao-Xin Yao,Han-Qing Wu

引用本文:

. [J]. Frontiers of Physics, 2024, 19(6): 63202.
Yue-Yue Chang, Jun-Qing Cheng, Hui Shao, Dao-Xin Yao, Han-Qing Wu. Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models. Front. Phys. , 2024, 19(6): 63202.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-024-1418-3
https://academic.hep.com.cn/fop/CN/Y2024/V19/I6/63202

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Lattice	Excitation	Dispersions

Collinear I	Doublon	$? = − E 0 + E 1 + 7 g / 9$
	Doublon	$? = − E 0 + E 1 + 5 g / 9$
	Quarton	$? = − E 0 + E 2 + 4 g / 9 + 2 g cos ? (3 q x) / 9 + 2 g cos ? (q y) / 3$
		$? = − E 0 + E 2 + 5 g / 9 + g cos ? (3 q x) / 18 + 2 g cos ? (q y) / 3$
		$? = − E 0 + E 2 + g / 9 + g cos ? (3 q x) / 18 + 2 g cos ? (q y) / 9$
Collinear II	Doublon	$? = − E 0 + E 1 + g / 9 + g cos ? (q x) / 33$
	Quarton	$? = − E 0 + E 2 + g / 9 + g cos ? (3 q x) / 9 + 4 g cos ? (q y) / 9$
	Quarton	$? = − E 0 + E 2 + g / 9 − g cos ? (3 q x) / 63 − 2 g cos ? (q y) / 33$
Trimerized Lieb lattice	Doublon	$? = − E 0 + E 1 − 2 g / 9$
Trimerized Lieb lattice	Quarton	$? = − E 0 + E 2 + 7 g / 18 − g cos ? (2 q x) / 3 − g cos ? (2 q y) / 3$

Tab.1

Fig.7

Fig.8

Fig.9

Fig.10

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