Asymmetry of the Geometrical Resonances of Composite Fermions
arXiv:2001.02409 · doi:10.1103/PhysRevB.101.235301
Abstract
We propose an experiment to test the uniform-Berry-curvature picture of composite fermions. We show that the asymmetry of geometrical resonances observed in a periodically modulated composite fermion system can be explained with the uniform-Berry-curvature picture. Moreover, we show that an alternative way of modulating the system, i.e., modulating the external magnetic field, will induce an asymmetry opposite to that of the usual periodic grating modulation which effectively modulates the Chern-Simons field. The experiment can serve as a critical test of the uniform-Berry-curvature picture, and probe the dipole structure of composite fermions proposed by Read.
arXiv comment6 pages, 2 figures
References in corpus (14)
- Berry phase correction to electron density of states in solids
- Is the Composite Fermion a Dirac Particle?
- The half-filled Landau level: the case for Dirac composite fermions
- Theory of the half-filled Landau level
- The nature of composite fermions and the role of particle hole symmetry: A microscopic account
- What Determines the Fermi Wave Vector of Composite Fermions?
- Ensemble density functional theory of the fractional quantum Hall effect
- Berry phase and model wavefunction in the half-filled Landau Level
- Weiss oscillations and particle-hole symmetry at the half-filled Landau level
- Berry Phase and Anomalous Transport of the Composite Fermions at the Half-Filled Landau Level
- Density functional theory of the fractional quantum Hall effect
- Composite Fermions with Orbital Magnetization
- Fluctuations and magnetoresistance oscillations near the half-filled Landau level
- Dynamics of the Wigner Crystal of Composite Particles