Momentum resolved tunneling into the Pfaffian and anti-Pfaffian edges

Abstract

We calculate the electron spectral functions at the edges of the Moore-Read Pfaffian and anti-Pfaffian fractional quantum Hall states, in the clean limit. We show that their qualitative differences can be probed using momentum resolved tunneling, thus providing a method to unambiguously distinguish which one is realized in the fractional quantum Hall state observed at filling factor $\nu =5/2$. We further argue that edge reconstruction, which may be less important in the first excited Landau level (LL) than in the lowest LL, can also be detected this way if present.

published version

References in corpus (5)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States

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• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Entangled Pauli Principles: the DNA of Quantum Hall Fluids
• Thermoelectric transport in junctions of Majorana and Dirac channels
• The Jain-2/5 parent Hamiltonian: structure of zero modes, dominance patterns, and zero mode generators
• Evolution of the quantum Hall bulk spectrum into chiral edge states
• Transport in line junctions of $\nu =5/2$ quantum Hall liquids
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Fluctuation theorems without time-reversal symmetry
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Edge mode velocities in the quantum Hall effect from a dc measurement