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Shining light on collective modes in moir\'e fractional Chern insulators

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arxiv 2502.17569 v1 pith:OYETJYVS submitted 2025-02-24 cond-mat.mes-hall cond-mat.str-el

Nisarga Paul , Ahmed Abouelkomsan , Aidan Reddy , Liang Fu This is my paper
classification cond-mat.mes-hallcond-mat.str-el
keywords collectivemodesfractionalmoiropticalfcischerninsulators
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abstract

We show that collective excitations and optical responses of moir\'e 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 moir\'e 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 moir\'e FCIs.

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Cited by 4 Pith papers

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  1. Quantum-Geometric Raman Response in Multiorbital Flat-Band Systems

    cond-mat.str-el 2026-07 accept novelty 7.0 of 10

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    For a specifically chosen non-uniform magnetic field on the sphere, Laughlin quasiholes acquire an analytically computed, interaction-generated energy dispersion whose functional form is exact up to a fitted overall scale.

  3. Fractional Chern insulators in alternating twisted multilayer MoTe$_{2}$

    cond-mat.str-el 2026-07 conditional novelty 6.0 of 10

    In alternating twisted multilayer MoTe2, layer sliding destroys the 1/3-filling fractional Chern insulator at fixed Chern number, with the transition tracked by the trace-condition measure of quantum geometry.

  4. Chiral Graviton Theory of Fractional Quantum Hall States

    cond-mat.str-el 2025-09 conditional novelty 6.0 of 10

    By gauging area-preserving diffeomorphisms and adding a Stueckelberg mass term, the paper constructs a nonlinear effective theory whose quadratic limit reproduces the bimetric description of the chiral spin-2 magnetoroton.

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