Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands

Fuente: arXiv
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Autor principal: Mandal, Ipsita
Formato: Preprint
Publicado: 2025
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author Mandal, Ipsita
author_facet Mandal, Ipsita
contents Spin- and valley-polarized fractionally-filled moiré flatbands are known to host emergent Fermi-liquid phases, when analysed with the help of a dual description in terms of holes. The dominant Coulomb interactions in an almost flatband endow the fermions with a nontrivial dispersion, when the system is described in terms of the hole operators (rather than the particle operators). In particular, for one-fourth filling, the Fermi surface takes a quasi-triangular shape, which brings about the possibility of charge-density-wave (CDW) ordering in the ground state, characterised by the nesting vectors ($ \mathbf{Q}_n $). The $\mathbf{Q}_n$'s connect antipodal points of the Fermi surface (designated as hot-spots) and are found to belong to the space of reciprocal vectors of the underlying honeycomb structure. The resulting CDW order can be described in terms of instabilities caused by bosonic fields with momenta centred at $\lbrace \mathbf{Q}_n \rbrace $, coupling with the fermions residing in the vicinity of a pair of antipodal hot-spots. When there is a transition from a Fermi liquid to a CDW state, the bosons become massless (or critical), effectuating a non-Fermi liquid behaviour. We set out to identify such non-Fermi liquid phases after constructing a minimal effective action.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15996
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
Mandal, Ipsita
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Spin- and valley-polarized fractionally-filled moiré flatbands are known to host emergent Fermi-liquid phases, when analysed with the help of a dual description in terms of holes. The dominant Coulomb interactions in an almost flatband endow the fermions with a nontrivial dispersion, when the system is described in terms of the hole operators (rather than the particle operators). In particular, for one-fourth filling, the Fermi surface takes a quasi-triangular shape, which brings about the possibility of charge-density-wave (CDW) ordering in the ground state, characterised by the nesting vectors ($ \mathbf{Q}_n $). The $\mathbf{Q}_n$'s connect antipodal points of the Fermi surface (designated as hot-spots) and are found to belong to the space of reciprocal vectors of the underlying honeycomb structure. The resulting CDW order can be described in terms of instabilities caused by bosonic fields with momenta centred at $\lbrace \mathbf{Q}_n \rbrace $, coupling with the fermions residing in the vicinity of a pair of antipodal hot-spots. When there is a transition from a Fermi liquid to a CDW state, the bosons become massless (or critical), effectuating a non-Fermi liquid behaviour. We set out to identify such non-Fermi liquid phases after constructing a minimal effective action.
title Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2509.15996