Interplay between local and non-local frustration in the 1D ANNNI chain: I. The even case

Torre, Gianpaolo; Catalano, Alberto Giuseppe; Kožić, Sven Benjamin; Franchini, Fabio; Giampaolo, Salvatore Marco (2025) Interplay between local and non-local frustration in the 1D ANNNI chain: I. The even case. Journal of Statistical Mechanics: Theory and Experiment, 2025 (5). ISSN 1742-5468

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Official URL: http://doi.org/10.1088/1742-5468/adc897

Abstract

We consider the effects of the competition between different sources of frustration in 1D spin chains through the analysis of the paradigmatic ANNNI model, which possesses an extensive amount of frustration of local origin due to the competition between nearest and next-to-nearest neighbor interactions. An additional, non-extensive amount of topological frustration can be added by applying suitable boundary conditions and we show that this seemingly subdominant contribution significantly affects the model. Choosing periodic boundary conditions with an even number of sites not divisible by 4 and using the entanglement entropy as a probe, we demonstrate that in one of the model's phases the ground state can be characterized as hosting two (almost) independent excitations. Thus, not only we show an intriguing interplay between different types of frustration, but also manage to propose a non-trivial quasi-particle interpretation for it.

Item Type:

Article

Uncontrolled Keywords:

entanglement entropies; frustrated systems classical and quantum; quantum frustrated systems; spin chains; ladders and planes

Subjects:

NATURAL SCIENCES > Mathematics
NATURAL SCIENCES > Physics

Divisions:

Theoretical Physics Division

Projects: