Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-09-05
Phys. Rev. B 81, 165308 (2010), Editors' Suggestion
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 1 figure; portions of this paper were formerly included in Appendix C of arXiv:0903.3108; v2: examples added, minor
Scientific paper
10.1103/PhysRevB.81.165308
In this paper, we ask the question: How well can Coulomb blockade experiments correctly identify and distinguish between different topological orders in quantum Hall states? We definitively find the answer to be: Quite poorly. In particular, we write the general expression for the spacing of resonance peaks in a simple form that explicitly displays its dependence on the conformal scaling dimensions of the systems' edge modes. This form makes transparent the general argument that the Coulomb blockade peak spacings do not provide a strongly indicative signature of the topological order of the system, since it is only weakly related to the braiding statistics. We bolster this general argument with examples for all the most physically relevant non-Abelian candidate states, demonstrating that they have Coulomb blockade doppelgangers -- candidate states at the same filling fraction with identical Coulomb blockade signatures, but dramatically different topological orders and braiding statistics.
Bonderson Parsa
Nayak Chetan
Shtengel Kirill
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