Effect of magnetization on the tunneling anomaly in compressible quantum Hall states

Abstract

Tunneling of electrons into a two-dimensional electron system is known to exhibit an anomaly at low bias, in which the tunneling conductance vanishes due to a many-body interaction effect. Recent experiments have measured this anomaly between two copies of the half-filled Landau level as a function of in-plane magnetic field, and they suggest that increasing spin polarization drives a deeper suppression of tunneling. Here we present a theory of the tunneling anomaly between two copies of the partially spin-polarized Halperin-Lee-Read state, and we show that the conventional description of the tunneling anomaly, based on the Coulomb self-energy of the injected charge packet, is inconsistent with the experimental observation. We propose that the experiment is operating in a different regime, not previously considered, in which the charge-spreading action is determined by the compressibility of the composite fermions.

(5+1) pages, 1 figure; (v2) minor changes and added reference to our accompanying paper arXiv:1712.02357; (v3) Final published version

References in corpus (6)

• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Fermi wave vector for the non-fully spin polarized composite-fermion Fermi sea
• Spin Transition in the Half-Filled Landau Level
• Tunnel transport and interlayer excitons in bilayer fractional quantum Hall systems
• Spin and the Coulomb Gap in the Half-Filled Lowest Landau Level
• Semiclassical theory of the tunneling anomaly in partially spin-polarized compressible quantum Hall states

Cited by in corpus (5)

• Precursors to Exciton Condensation in Quantum Hall Bilayers
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• Semiclassical theory of the tunneling anomaly in partially spin-polarized compressible quantum Hall states
• Interlayer Interactions and the Fermi Energy of Bilayer Composite Fermion Metals
• Tunneling density of states, correlation energy, and spin polarization in the fractional quantum Hall regime