Identification of 331 quantum Hall states with Mach-Zehnder interferometry - Condensed Matter > Mesoscale and Nanoscale Physics

Identification of 331 quantum Hall states with Mach-Zehnder interferometry - Condensed Matter > Mesoscale and Nanoscale Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: It has been shown recently that non-Abelian states and the spin-polarized andunpolarized versions of the Abelian 331 state may have identical signatures inFabry-P\-{e}rot interferometry in the quantum Hall effect at filling factor5-2. We calculate the Fano factor for the shot noise in a Mach-Zehnderinterferometer in the 331 states and demonstrate that it differs from the Fanofactor in the proposed non-Abelian states. The Fano factor depends periodicallyon the magnetic flux through the interferometer. Its maximal value is $2\times1.4e$ for the 331 states with a symmetry between two flavors of quasiparticles.In the absence of such symmetry the Fano factor can reach $2\times 2.3e$. Onthe other hand, for the Pfaffian and anti-Pfaffian states the maximal Fanofactor is $2\times 3.2e$. The period of the flux dependence of the Fano factoris one flux quantum. If only quasiparticles of one flavor can tunnel throughthe interferometer then the period drops to one half of the flux quantum. Wealso discuss transport signatures of a general Halperin state with the fillingfactor $2+k-k+2$.

Autor: Chenjie Wang, D. E. Feldman

Fuente: https://arxiv.org/