Shining light on collective modes in moiré fractional Chern insulators

Fuente: arXiv
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Autori principali: Paul, Nisarga, Abouelkomsan, Ahmed, Reddy, Aidan, Fu, Liang
Natura: Preprint
Pubblicazione: 2025
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author Paul, Nisarga
Abouelkomsan, Ahmed
Reddy, Aidan
Fu, Liang
author_facet Paul, Nisarga
Abouelkomsan, Ahmed
Reddy, Aidan
Fu, Liang
contents We show that collective excitations and optical responses of moiré fractional Chern insulators (FCIs) drastically differ from those of standard fractional quantum Hall (FQH) states in a Landau level. By constructing a variational wavefunction that incorporates the moiré lattice effect, we capture the collective modes in FCIs across a range of crystal momenta including the roton minimum. Interestingly, new collective modes -- ``fractional excitons'' -- are found in the long wavelength limit ($\boldsymbol{q} \rightarrow 0$) at low energy below the excitation continuum, distinct from the FQH case. Some of these modes are optically active and manifest as sharp peaks in optical conductivity at THz frequency. We further show that intraband optical absorption and spectral weight in twisted ${\rm MoTe}_2$ are highly tunable by the displacement field. Our work thus establishes optical spectroscopy as a powerful tool to illuminate the unique collective modes of moiré FCIs.
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id arxiv_https___arxiv_org_abs_2502_17569
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Shining light on collective modes in moiré fractional Chern insulators
Paul, Nisarga
Abouelkomsan, Ahmed
Reddy, Aidan
Fu, Liang
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
We show that collective excitations and optical responses of moiré fractional Chern insulators (FCIs) drastically differ from those of standard fractional quantum Hall (FQH) states in a Landau level. By constructing a variational wavefunction that incorporates the moiré lattice effect, we capture the collective modes in FCIs across a range of crystal momenta including the roton minimum. Interestingly, new collective modes -- ``fractional excitons'' -- are found in the long wavelength limit ($\boldsymbol{q} \rightarrow 0$) at low energy below the excitation continuum, distinct from the FQH case. Some of these modes are optically active and manifest as sharp peaks in optical conductivity at THz frequency. We further show that intraband optical absorption and spectral weight in twisted ${\rm MoTe}_2$ are highly tunable by the displacement field. Our work thus establishes optical spectroscopy as a powerful tool to illuminate the unique collective modes of moiré FCIs.
title Shining light on collective modes in moiré fractional Chern insulators
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2502.17569