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We present an explanation for the anomalous behavior in tunneling conductance and noise through a point contact between edge states in the Jain series $ u=p/(2np+1)$, for extremely weak-backscattering and low temperatures [Y.C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. {bf{91}}, 216804 (2003)]. We consider edge states with neutral modes propagating at finite velocity, and we show that the activation of their dynamics causes the unexpected change in the temperature power-law of the conductance. Even more importantly, we demonstrate that multiple-quasiparticles tunneling at low energies becomes the most relevant process. This result will be used to explain the experimental data on current noise where tunneling particles have a charge that can reach $p$ times the single quasiparticle charge. In this paper we analyze the conductance and the shot noise to substantiate quantitatively the proposed scenario.
We study the magneto-conductance of a $1.4~mathrm{mu m}$-wide quantum dot in the fractional quantum Hall regime. For a filling factor $approx 2/3$ and $gtrsim 1/3$ in the quantum dot the observed Coulomb resonances show a periodic modulation in magne
We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the reservoirs
We present a comprehensive numerical study of a microscopic model of the fractional quantum Hall system at filling fraction $ u = 5/2$, based on the disc geometry. Our model includes Coulomb interaction and a semi-realistic confining potential. We al
We study the tunneling density of states (TDOS) for a junction of three Tomonaga-Luttinger liquid wires. We show that there are fixed points which allow for the enhancement of the TDOS, which is unusual for Luttinger liquids. The distance from the ju
There is increasing experimental evidence for fractional quantum Hall effect at filling factor $ u=2+3/8$. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our variationa