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

Chang, Yue-Yue; Cheng, Jun-Qing; Shao, Hui; Yao, Dao-Xin; Wu, Han-Qing

doi:10.1007/s11467-024-1418-3

Front. Phys.

2024

DOI: 10.1007/s11467-024-1418-3

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

Yue-Yue Chang,

Jun-Qing Cheng,

Hui Shao

et al.

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Quantum phase transition and composite excitations of antiferromagnetic spin trimer chains in a magnetic field

Cheng,

Ning,

et al. 2024

npj Quantum Mater.

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Motivated by recent advancements in theoretical and experimental studies of the high-energy excitations on an antiferromagnetic trimer chain, we numerically investigate the quantum phase transition and composite dynamics in this system by applying a magnetic field. The numerical methods we used include the exact diagonalization, density matrix renormalization group, time-dependent variational principle, and cluster perturbation theory. From calculating the entanglement entropy, we have revealed the phase diagram which includes the XY-I, 1/3 magnetization plateau, XY-II, and ferromagnetic phases. Both the critical XY-I and XY-II phases are characterized by the conformal field theory with a central charge c ≃ 1. By analyzing the dynamic spin structure factor, we elucidate the distinct features of spin dynamics across different phases. In the regime with weak intertrimer interaction, we identify the intermediate-energy and high-energy modes in the XY-I and 1/3 magnetization plateau phases as internal trimer excitations, corresponding to the propagating of doublons and quartons, respectively. Notably, applying a magnetic field splits the high-energy spectrum into two branches, labeled as the upper quarton and lower quarton. Furthermore, we explore the spin dynamics of a frustrated trimerized model closely related to the quantum magnet Na2Cu3Ge4O12. In the end, we extend our discuss on the possibility of the quarton Bose-Einstein condensation in the trimer systems. Our results are expected to be further verified through the inelastic neutron scattering and resonant inelastic X-ray scattering, and also provide valuable insights for exploring high-energy exotic excitations.

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Quantum phase transition and composite excitations of antiferromagnetic spin trimer chains in a magnetic field

Cheng,

Ning,

et al. 2024

npj Quantum Mater.

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show abstract

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

Cited by 1 publication

References 86 publications

Quantum phase transition and composite excitations of antiferromagnetic spin trimer chains in a magnetic field

Quantum phase transition and composite excitations of antiferromagnetic spin trimer chains in a magnetic field

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