Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-abelions
نویسنده
چکیده
We study the edge transport properties of paired fractional quantum Hall (FQH) states— the Haldane-Rezayi (HR), Moore-Read (Pfaffian) and Halperin (331) states. A table of exponents is given for the tunneling between the edges of paired FQH states in gated 2D structures and the tunneling into the edge of FQH states from a normal Fermi liquid (N). It is found that HR, Pfaffian and 331 states have different exponents for quasiparticle tunneling. For the tunneling through a FQH-N junction, we propose unusual Andreev reflection processes that may also probe the non-abelian FQH states.
منابع مشابه
Andreev reflection and Klein tunneling in graphene
This is a colloquium-style introduction to two electronic processes in a carbon monolayer (graphene), each having an analogue in relativistic quantum mechanics. Both processes couple electron-like and hole-like states, through the action of either a superconducting pair potential or an electrostatic potential. The first process, Andreev reflection, is the electron-to-hole conversion at the inte...
متن کاملNon-Abelian Quantum Hall States and Fractional Statistics
The discovery of the fractional quantum Hall effect stimulated the investigation of anyons, particles with fractional statistics which are neither bosons nor fermions. This thesis focuses on the study of quantum Hall states which may support nonAbelian anyons. We first address the validity of assumptions used in the numerical study of such states, and then proceed with analyzing different exper...
متن کاملترابرد کوانتمی در ساختارهای فلز - عادی - ابررسانا - فلز - عادیِ گرافین
We study the transport of electrons in a graphene NSN structure in which two normal regions are connected by a superconducting strip of thickness d. Within Dirac-Bogoliubov-de Gennes equations we describe the transmission through the contact in terms of different scattering processes consisting of quasiparticle cotunneling, local and crossed Andreev reflections. Compared to a fully normal stru...
متن کاملرسانایی تونلی در اتصال گرافینی نرمال- عایق- ابررسانا با ساختار قرص کاربینو
We study tunneling conductance of a graphene based normal metal-insulator-superconductor (NIS) junction with Corbino disk structure. Solving Dirac-Bogolioubov- De Gennes (DBdG) equation in different regions of the junction and employing scattering approach we obtain normal and Andreev reflection coefficients of the junction. Using Blonder-Tinkham-Klapwijk (BTK) formula we calculate tunneling co...
متن کاملMaximal positive cross-correlation of current noise from Andreev reflection
For more than a decade it has been accepted that the phenomena of quantum transport in mesoscopic systems are intimately connected with the fermionic nature of carriers, both electrons and holes. The simplest fingerprint of statistical interaction is the sub-Poissonian shot noise measured in the quantum point contact. I The electronic Hanbury BrownTwiss2 experiment performed in the quantum Hall...
متن کامل