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2007

Double Point Contact in the k=3 Read-Rezayi State

Fidkowski, Lukasz

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We compute the dependence of the tunneling current in a double point contact in the k=3 Read-Rezayi state (which is conjectured to describe an incompressible quantum hall fluid at filling fraction nu=12/5) on voltage, separation between the two contacts, and temperature.

Using the tunneling hamiltonian of cond-mat/0607431, we show that the effect of quasiholes in the bulk region between the two contacts is simply an overall constant multiplying the interference term.
This is the same effect as found for the differential conductivity in cond-mat/0601242; the difference is that we do an actual edge theory calculation and compute the full current-voltage curve at weak tunneling.

Double Point Contact in the k=3 Read-Rezayi State · Around

Built on

G. Moore and N. Read, Nucl. Phys. B 360
1991
Earlier work this paper cites.
P. Fendley, A. W. W. Ludwig, and H. Saleur, Exact conductance through point contacts in the ν = 1 / 3 \nu=1/3 Fractional Quantum Hall Effect
1995
Earlier work this paper cites.
C. de C. Chamon, D. E. Freed, S. A. Kivelson, S. L. Sondhi, and X. -G. Wen, Two point-contact interferometer for quantum hall systems
1997
Earlier work this paper cites.

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E. Ardonne, E. -A. Kim, A note on the doube point contact in the Moore-Read quantum Hall state
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Then

P. Bonderson, K. Shtengel, J. K. Slingerland, Probing Non-Abelian Statistics with QuasiParticle Interferometry
2006
Later among the works it cites.
P. Fendley, M. P. A. Fisher, and C. Nayak, Edge states and tunneling of non-Abelian quasiparticles in the ν = 5 / 2 \nu=5/2 quantum Hall state and p + i p p+ip superconductors
2007
Closest in time.

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