Magnetoroton in a two-dimensional Bose-Bose mixture
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910494961434624 |
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| author | Utesov, O. I. Andreev, S. V. |
| author_facet | Utesov, O. I. Andreev, S. V. |
| contents | We extend our theory of slow magnons in a two-component Bose-Einstein condensate to the case of two spatial dimensions (2D). We provide a detailed discussion of polaronic corrections to the magnon branch of the elementary excitation spectrum in a weakly- and strongly-interacting regimes. In a dilute system, the latter may be achieved by adjusting inter-species attraction such as to obtain a resonance in the $p$-wave scattering channel. Resonantly enhanced $p$-wave attraction results in the self-localization of magnons and formation of a magnetoroton. The nature of a ground state beyond the magnetoroton instability remains to be explored. We suggest a dilute p-wave crystal of alternating polarization as a possible candidate. In contrast to three dimensions (3D), the required strength of the attractive potential in the $s$-wave channel here corresponds to tight binding, and we suggest a potential realization of our model with excitons in 2D semiconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04440 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetoroton in a two-dimensional Bose-Bose mixture Utesov, O. I. Andreev, S. V. Quantum Gases Strongly Correlated Electrons We extend our theory of slow magnons in a two-component Bose-Einstein condensate to the case of two spatial dimensions (2D). We provide a detailed discussion of polaronic corrections to the magnon branch of the elementary excitation spectrum in a weakly- and strongly-interacting regimes. In a dilute system, the latter may be achieved by adjusting inter-species attraction such as to obtain a resonance in the $p$-wave scattering channel. Resonantly enhanced $p$-wave attraction results in the self-localization of magnons and formation of a magnetoroton. The nature of a ground state beyond the magnetoroton instability remains to be explored. We suggest a dilute p-wave crystal of alternating polarization as a possible candidate. In contrast to three dimensions (3D), the required strength of the attractive potential in the $s$-wave channel here corresponds to tight binding, and we suggest a potential realization of our model with excitons in 2D semiconductors. |
| title | Magnetoroton in a two-dimensional Bose-Bose mixture |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2404.04440 |