Theory of Emergent Trionic Order in One-Dimensional Bose-Fermi Mixtures
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912562174492672 |
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| author | Yue, Yan-Guang Song, Qi Lou, Jie Chen, Yan |
| author_facet | Yue, Yan-Guang Song, Qi Lou, Jie Chen, Yan |
| contents | We study a one-dimensional (1D) lattice mixture of hard-core bosons and spinless fermions with attractive interspecies interaction and correlated fermion pair hopping. Using Schrieffer-Wolff (SW) transformation and bosonization, we derive an effective low-energy theory that reveals a density-induced resonance mechanism. When the filling ratio satisfies $ρ_{c0}:ρ_{b0} = 2:1$, a non-oscillatory cosine term emerges in the bosonized theory. This term favors the formation of trions, i.e., bound states of two fermions and one boson. By performing a renormalization-group (RG) analysis, we identify a phase transition from a gapless two-component Luttinger liquid to a partially gapped trionic phase, where trionic correlations exhibit dominant quasi-long-range order. Our findings provide a microscopic understanding of composite superfluidity and offer experimentally relevant signatures for Bose-Fermi mixtures in 1D lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00523 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theory of Emergent Trionic Order in One-Dimensional Bose-Fermi Mixtures Yue, Yan-Guang Song, Qi Lou, Jie Chen, Yan Strongly Correlated Electrons We study a one-dimensional (1D) lattice mixture of hard-core bosons and spinless fermions with attractive interspecies interaction and correlated fermion pair hopping. Using Schrieffer-Wolff (SW) transformation and bosonization, we derive an effective low-energy theory that reveals a density-induced resonance mechanism. When the filling ratio satisfies $ρ_{c0}:ρ_{b0} = 2:1$, a non-oscillatory cosine term emerges in the bosonized theory. This term favors the formation of trions, i.e., bound states of two fermions and one boson. By performing a renormalization-group (RG) analysis, we identify a phase transition from a gapless two-component Luttinger liquid to a partially gapped trionic phase, where trionic correlations exhibit dominant quasi-long-range order. Our findings provide a microscopic understanding of composite superfluidity and offer experimentally relevant signatures for Bose-Fermi mixtures in 1D lattices. |
| title | Theory of Emergent Trionic Order in One-Dimensional Bose-Fermi Mixtures |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.00523 |