Re-emergence of the electron in a fractional quantum Hall fluid

ORAL

Abstract

The low energy physics of the fractional quantum Hall fluid is described in terms of fermionic quasiparticles called composite fermions, which are distinct from electrons. We show that a long lived electron- like quasiparticle also exists in the excitation spectrum. Specifically, we find, using wave functions that are demonstrably very accurate for small systems, that there is a non-zero overlap (in the thermodynamic limit) between the state obtained by application of an electron creation operator to a fractional quantum Hall ground state and a high energy bound state complex containing an odd number of composite-fermion quasiparticles. The electron annihilation operator similarly couples to a bound complex of composite-fermion holes. We predict that these bound states can be observed through a conductance resonance in experiments involving a tunneling of an electron into a quantum Hall fluid.

Authors

  • Michael R. Peterson

  • Jainendra Jain

    Department of Physics, The Pennsylvania State University, Pennsylvania State University