Moiré metals and continuum models beyond a single valley
Abstract
We derive continuum models of moiré materials valid over the full monolayer Brillouin zone, as required for metals whose large Fermi surfaces are not confined to a single valley. To this end, we introduce an environment-resolved two-center approximation, in which each hopping amplitude depends not only on the distance between the orbitals it connects but also on its position within the moiré cell. Taking the local environment to be set by the disregistry of the two layers alone, these moiré couplings and their full set of harmonics can be learnt from commensurate bilayers at uniform stackings, without fitting. The method shows excellent agreement with ab initio band structures on moiré cells containing a few hundred atoms. Applied to twisted NbSe2, it yields a continuum model in which moiré effects concentrate at the van Hove singularities, a single-particle starting point for studying moiré-tuned superconducting, charge-density-wave instabilities and their competition.
Related
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BibTeX
@misc{albert2026moiré,
title = {{Moiré metals and continuum models beyond a single valley}},
author = {Matthew Albert and Andrew Klekovkin-Hardy and Valentin Crépel},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40761},
eprint = {2610.40761},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40761},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Moiré metals and continuum models beyond a single valley
AU - Matthew Albert
AU - Andrew Klekovkin-Hardy
AU - Valentin Crépel
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40761
UR - https://arxiv.org/abs/2610.40761
AB - We derive continuum models of moiré materials valid over the full monolayer Brillouin zone, as required for metals whose large Fermi surfaces are not confined to a single valley. To this end, we introduce an environment-resolved two-center approximation, in which each hopping amplitude depends not only on the distance between the orbitals it connects but also on its position within the moiré cell. Taking the local environment to be set by the disregistry of the two layers alone, these moiré couplings and their full set of harmonics can be learnt from commensurate bilayers at uniform stackings, without fitting. The method shows excellent agreement with ab initio band structures on moiré cells containing a few hundred atoms. Applied to twisted NbSe_2, it yields a continuum model in which moiré effects concentrate at the van Hove singularities, a single-particle starting point for studying moiré-tuned superconducting, charge-density-wave instabilities and their competition.
ER -