Quantum Transport in Two-Channel Fractional Quantum Hall Edges
نویسنده
چکیده
We study the effect of backward scatterings in the tunneling at a point contact between the edges of a second level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only when both of the edge channels propagate in the same direction. It is shown that the quasiparticle tunneling picture and the electron tunneling picture give different scaling behaviors of the conductances, which indicates the existence of a crossover between the two pictures. When the direction of two edge-channels are opposite, e.g. in the case of MacDonald’s edge construction for the ν = 2/3 state, the phase diagram is divided into two domains giving different temperature dependence of the conductance. 72.10.-d, 73.20.Dx, 73.40.Hm Typeset using REVTEX 1
منابع مشابه
Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges
We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with ν = 1/(2k + 1). We consider two models, i.e., the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the point contact. The tunneling conductance G(T ) is obtained using the renormalization group treatment. In QPT model, it is found that LRCI further reduces G(T ) ...
متن کاملLocal thermometry of neutral modes on the quantum Hall edge
Electrons in two dimensions and strong magnetic fields can form an insulating two-dimensional system with conducting one-dimensional channels along the edge. Electron interactions in these edges can lead to independent transport of charge and heat, even in opposite directions. Here, we heat the outer edge of such a quantum Hall system using a quantum point contact. By placing quantum dots upstr...
متن کاملTunable transmission of quantum Hall edge channels with full degeneracy lifting in split-gated graphene devices
Charge carriers in the quantum Hall regime propagate via one-dimensional conducting channels that form along the edges of a two-dimensional electron gas. Controlling their transmission through a gate-tunable constriction, also called quantum point contact, is fundamental for many coherent transport experiments. However, in graphene, tailoring a constriction with electrostatic gates remains chal...
متن کاملQuasi-particles for Quantum Hall Edges A
We discuss a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. Fundamental quasi-particles for the Laughlin state with filling fraction ν = 1 3 are edge electrons of charge −e and edge quasi-holes of charge + e 3. These quasi-particles satisfy exclusion statistics in the sense of Haldane. We exploit algebraic properties of edge electrons to derive a k...
متن کامل2 9 O ct 1 99 7 Charge and current oscillations in Fractional quantum Hall systems with edges
Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus. In the infinitely long Hall bar geometry (non compact case), the charge density is shown to be monotonic inside the sample. In sharp contrast, spatial oscillatory modes of charge density are found for the two circular geometries, which ...
متن کامل