Gapped out-of-phase plasmon modes in alternating-twist multilayer graphene

Fuente: arXiv
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Autori principali: Kim, Taehun, Min, Hongki
Natura: Preprint
Pubblicazione: 2026
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author Kim, Taehun
Min, Hongki
author_facet Kim, Taehun
Min, Hongki
contents We theoretically investigate the plasmon modes of alternating-twist multilayer graphene. In multilayer systems, interlayer coupling gives rise to distinctive plasmon modes, but calculations in moiré systems remain challenging due to their complex tunneling structures. Using the Kac-Murdock-Szegő Toeplitz formalism, we derive that the in-phase mode exhibits the conventional $\sqrt{q}$ behavior, while the out-of-phase modes acquire plasmon gaps determined by specific interband transitions between Dirac cones with different velocities in the long-wavelength limit. We demonstrate that these out-of-phase modes remain undamped in the weak Coulomb-interaction limit when the twist angle exceeds a critical value ($θ\gtrsim 2.75^\circ$ for the alternating-twist trilayer case), regardless of the carrier density as long as the low-energy effective Dirac Hamiltonian remains valid. Furthermore, we consider the effect of a perpendicular electric field, and demonstrate how plasmon modes can be tuned by a gate voltage.
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id arxiv_https___arxiv_org_abs_2602_12625
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gapped out-of-phase plasmon modes in alternating-twist multilayer graphene
Kim, Taehun
Min, Hongki
Mesoscale and Nanoscale Physics
We theoretically investigate the plasmon modes of alternating-twist multilayer graphene. In multilayer systems, interlayer coupling gives rise to distinctive plasmon modes, but calculations in moiré systems remain challenging due to their complex tunneling structures. Using the Kac-Murdock-Szegő Toeplitz formalism, we derive that the in-phase mode exhibits the conventional $\sqrt{q}$ behavior, while the out-of-phase modes acquire plasmon gaps determined by specific interband transitions between Dirac cones with different velocities in the long-wavelength limit. We demonstrate that these out-of-phase modes remain undamped in the weak Coulomb-interaction limit when the twist angle exceeds a critical value ($θ\gtrsim 2.75^\circ$ for the alternating-twist trilayer case), regardless of the carrier density as long as the low-energy effective Dirac Hamiltonian remains valid. Furthermore, we consider the effect of a perpendicular electric field, and demonstrate how plasmon modes can be tuned by a gate voltage.
title Gapped out-of-phase plasmon modes in alternating-twist multilayer graphene
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2602.12625