TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.018
TI  - The fate of the spin polaron in the 1D antiferromagnets
PY  - 2024/07/19
UR  - https://scipost.org/SciPostPhys.17.1.018
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 018
A1  - Wrzosek, Piotr
AU  - Kłosiński, Adam
AU  - Wang, Yao
AU  - Berciu, Mona
AU  - Agrapidis, Cliò Efthimia
AU  - Wohlfeld, Krzysztof
AB  - The stability of the spin polaron quasiparticle, well established in studies of a single hole in the 2D antiferromagnets, is investigated in the 1D antiferromagnets using a $t$-$J$ model. We perform an exact slave fermion transformation to the holon-magnon basis, and diagonalize numerically the resulting model in the presence of a single hole. We demonstrate that the spin polaron collapses - and the spin-charge separation takes over - due to the specific role played by the magnon-magnon interactions and the magnon hard-core constraint in the 1D $t$-$J$ model. Moreover, we prove that the spin polaron is stable for any strength of the magnon-magnon interaction other than the unique value found in a 1D antiferromagnet with the continuous symmetry of the spin interactions. Fine-tuning to this unique value is extremely unlikely to occur in quasi-1D antiferromagnets, therefore the spin polaron is the stable quasiparticle of realistic 1D materials. Our results lead to a new interpretation of the ARPES spectra of quasi-1D antiferromagnets in the spin polaron language.
ER  -

@Article{10.21468/SciPostPhys.17.1.018,
	title={{The fate of the spin polaron in the 1D antiferromagnets}},
	author={Piotr Wrzosek and Adam Kłosiński and Yao Wang and Mona Berciu and Cliò Efthimia Agrapidis and Krzysztof Wohlfeld},
	journal={SciPost Phys.},
	volume={17},
	pages={018},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.018},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.018},
}