Chiral graviton modes survive as long-lived, well-defined excitations in fermionic fractional Chern insulators, adiabatically connected to their fractional quantum Hall counterparts.
Lowest Landau Level Stress Tensor and Structure Factor of Trial Quantum Hall Wave Functions
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abstract
We show that for a class of model Hamiltonians for which certain trial quantum Hall wavefunctions are exact ground states, there is a single spectral density function which controls all two-point correlation functions of density, current and stress tensor components. From this we show that the static structure factors of these wavefunctions behaves at long wavelengths as $s_4 k^4$ where the coefficient $s_4$ is directly related to the shift: $s_4=(\mathcal S-1)/8$.
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Chiral Graviton Modes in Fermionic Fractional Chern Insulators
Chiral graviton modes survive as long-lived, well-defined excitations in fermionic fractional Chern insulators, adiabatically connected to their fractional quantum Hall counterparts.