From "weak" to "strong" hole confinement in a Mott insulator
Krzysztof Bieniasz, Piotr Wrzosek, Andrzej M. Oles, Krzysztof Wohlfeld
SciPost Phys. 7, 066 (2019) · published 27 November 2019
- doi: 10.21468/SciPostPhys.7.5.066
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Abstract
We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is "weakly" confined in a potential well and the magnon coefficients decay exponentially in the absence of a string potential. This behavior is in sharp contrast to the 2D square plane where the hole is "strongly" confined by a string potential and the magnon coefficients decay superexponentially. The latter is identified here to be a fingerprint of the strings in doped antiferromagnets that can be recognized in the numerical or cold atom simulations of the 2D doped Hubbard model. Finally, we attribute the differences between the 1D and 2D cases to the magnon-magnon interactions being crucially important in a 1D spin system.
Cited by 11
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Krzysztof Bieniasz,
- 3 Piotr Wrzosek,
- 1 4 Andrzej M. Oles,
- 3 Krzysztof Wohlfeld
- 1 University of British Columbia [UBC]
- 2 Uniwersytet Jagielloński / Jagiellonian University
- 3 Uniwersytet Warszawski / University of Warsaw [UW]
- 4 Max-Planck-Institut für Festkörperforschung / Max Planck Institute for Solid State Research