Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator

• URL: http://arxiv.org/abs/2501.00247v3
• Date: Thu, 05 Jun 2025 01:28:34 GMT
• Title: Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Authors: Min Long, Hongyu Lu, Han-Qing Wu, Zi Yang Meng,
• Abstract summary: We compute the spectra of charge-neutral excitations in the $nu=1/2$ (bosonic) updated and $1/3$ (fermionic) fractional Chern insulator (FCI) on the Haldane honeycomb lattice model.<n>The magnetoroton visualized from the dynamic density structure factor acquires a minimum gap at finite momentum that can go soft with increasing interaction.
• Score: 14.778738430762179
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Employing the state-of-the-art time-dependent variational principle (TDVP) algorithm, we compute the spectra of charge-neutral excitations in the $\nu=1/2$ (bosonic) \updated{ and $1/3$ (fermionic) fractional Chern insulator (FCI)} on the Haldane honeycomb lattice model. The magnetoroton visualized from the dynamic density structure factor acquires a minimum gap at finite momentum that can go soft with increasing interaction and give rise to a charge density wave (CDW) at the same wavevector. As the system approaches the FCI-to-CDW transition point, we observe a pronounced sharpening of the roton mode, suggesting that the magnetoroton behaves more like a quasiparticle as it softens. Notably, this occurs while the single-particle gap remains finite. Besides the magnetoroton at finite momentum, we also construct quadrupolar chiral operators in a discrete lattice and resolve the chiral graviton mode around the $\Gamma$ point of the Brillouin zone. Furthermore, we show the different chiralities of the gravitons of FCIs with opposite-sign Hall conductance for the first time.

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