Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude - Condensed Matter > Mesoscale and Nanoscale PhysicsReportar como inadecuado




Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude - Condensed Matter > Mesoscale and Nanoscale Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We study the scaling behavior in the tunneling amplitude when quasiparticlestunnel along a straight path between the two edges of a fractional quantum Hallannulus. Such scaling behavior originates from the propagation and tunneling ofcharged quasielectrons and quasiholes in an effective field analysis. In thelimit when the annulus deforms continuously into a quasi-one-dimensional ring,we conjecture the exact functional form of the tunneling amplitude for severalcases, which reproduces the numerical results in finite systems exactly. Theresults for Abelian quasiparticle tunneling is consistent with the scalinganaysis; this allows for the extraction of the conformal dimensions of thequasiparticles. We analyze the scaling behavior of both Abelian and non-Abelianquasiparticles in the Read-Rezayi Z k-parafermion states. Interestingly, thenon-Abelian quasiparticle tunneling amplitudes exhibit nontrivial k-dependentcorrections to the scaling exponent.



Autor: Zi-Xiang Hu, Ki Hoon Lee, E. H. Rezayi, Xin Wan, Kun Yang

Fuente: https://arxiv.org/







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