Transport in line junctions of $\nu =5/2$ quantum Hall liquids

Abstract

We calculate the tunneling current through long line junctions of a $\nu =5/2$ quantum Hall liquid and i) another $\nu =5/2$ liquid, ii) an integer quantum Hall liquid and iii) a quantum wire. Momentum resolved tunneling provides information about the number, propagation directions and other features of the edge modes and thus helps distinguish several competing models of the 5/2 state. We investigate transport properties of two proposed Abelian states: $K=8 state and 331 state, and four possible non-Abelian states: Pfaffian, edge-reconstructed Pfaffian, and two versions of the anti-Pfaffian state. We also show that the non-equilibrated anti-Pfaffian state has a different resistance from other proposed states in the bar geometry.

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References in corpus (16)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Fractional Quantum Hall Effect in the Second Landau Level
• The non-Abelian Interferometer
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Paired composite fermion wavefunctions
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Exact Solution for Bulk-Edge Coupling in the Non-Abelian $\nu =5/2$ Quantum Hall Interferometer
• Charge-statistics separation and probing non-Abelian states
• Experimental realization of a Fabry-Perot-type interferometer by co-propagating edge states in the quantum Hall regime
• Long tunneling contact as a probe of fractional quantum Hall neutral edge modes
• Momentum resolved tunneling into the Pfaffian and anti-Pfaffian edges
• Equilibration between edge states in the fractional quantum Hall effect regime at high imbalances

Cited by in corpus (16)

• Fractional charge and fractional statistics in the quantum Hall effects
• Tunneling between helical edge states through extended contacts
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Determination of tunneling charge via current measurements
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• 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
• Topological blockade and measurement of topological charge
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• 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