Theory of Emergent Trionic Order in One-Dimensional Bose-Fermi Mixtures

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Detalles Bibliográficos
Autores principales:	Yue, Yan-Guang, Song, Qi, Lou, Jie, Chen, Yan
Formato:	Preprint
Publicado:	2025
Materias:	Strongly Correlated Electrons
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

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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

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