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Dipole-active collective excitations in moir\'e flat bands

Mesoscale and Nanoscale Physics 2020-11-06 v1 Strongly Correlated Electrons

Abstract

Collective plasma excitations in moir\'e flat bands display unique properties reflecting strong electron-electron interactions and unusual carrier dynamics in these systems. Unlike the conventional two-dimensional plasmon modes, dispersing as k\sqrt{k} at low frequencies and plunging into particle-hole continuum at higher frequencies, the moir\'e plasmons pierce through the flat-band continuum and acquire a strong over-the-band character. Due to the complex structure of the moir\'e superlattice unit cell, the over-the-band plasmons feature several distinct branches connected through zone folding in the superlattice Brillouin zone. Using a toy Hubbard model for the correlated insulating order in a flat band, we predict that these high-frequency modes become strongly dipole-active upon the system undergoing charge ordering, with the low-frequency modes gapped out within the correlated insulator gap. Strong dipole moments and sensitivity to charge order make these modes readily accessible by optical measurements, providing a convenient diagnostic of the correlated states.

Keywords

Cite

@article{arxiv.2011.02982,
  title  = {Dipole-active collective excitations in moir\'e flat bands},
  author = {Ali Fahimniya and Cyprian Lewandowski and Leonid Levitov},
  journal= {arXiv preprint arXiv:2011.02982},
  year   = {2020}
}
R2 v1 2026-06-23T19:56:42.319Z