Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915299184345088 |
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| author | Torre, Gianpaolo Catalano, Alberto Giuseppe Kožić, Sven Benjamin Franchini, Fabio Giampaolo, Salvatore Marco |
| author_facet | Torre, Gianpaolo Catalano, Alberto Giuseppe Kožić, Sven Benjamin Franchini, Fabio Giampaolo, Salvatore Marco |
| contents | 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 {\it 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 do we show an intriguing interplay between different types of frustration, but also manage to propose a non-trivial quasi-particle interpretation for it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 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 Strongly Correlated Electrons Statistical Mechanics Quantum Physics 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 {\it 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 do we show an intriguing interplay between different types of frustration, but also manage to propose a non-trivial quasi-particle interpretation for it. |
| title | Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2406.19449 |