Manifestations of the Uniform Berry Curvature in the Physics of Composite Fermions

It was proposed that the composite fermion is subject to a uniform Berry curvature in the momentum space [1]. Based on the picture, we theoretically consider a number of possible manifestations of the uniform Berry curvature. We show that the presence of the Berry curvature induces a shift in the commensurability condition of the geometrical resonance experiments. We argue that the shift had actually been observed in experiments. We further show that an electrostatic modulation, which is equivalent to a modulation of the Chern-Simons field of composite fermions, and the modulation of an externally applied magnetic field, yield different commensurability conditions. Moreover, we determine the low-frequency and long wavelength electromagnetic responses of a composite fermion system, and find results different from both the Halperin-Lee-Read theory and Son's Dirac theory.
[1] J. Shi and W. Ji, Phys. Rev. B 97, 125133 (2018); G. Ji and J. Shi, preprint, arXiv:1901.00321 (2019).