Effect of inter-edge Coulomb interactions on transport through a point contact in a ν= 5-2 quantum Hall state - Condensed Matter > Mesoscale and Nanoscale PhysicsReportar como inadecuado




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Abstract: We study transport across a point contact separating two line junctions in a u = 5-2 quantum Hall system. We analyze the effect of inter-edge Coulombinteractions between the chiral bosonic edge modes of the half-filled Landaulevel assuming a Pfaffian wave function for the half-filled state and of thetwo fully filled Landau levels. In the presence of inter-edge Coulombinteractions between all the six edges participating in the line junction, thestable fixed point corresponds to a point contact which is neither fully opaquenor fully transparent. Remarkably, this fixed point represents a situationwhere the half-filled level is fully transmitting, while the two filled levelsare completely backscattered; hence the fixed point Hall conductance is givenby G H = {1-2} e^2-h. We predict the non-universal temperature power laws bywhich the system approaches the stable fixed point from the two unstable fixedpoints corresponding to the fully connected case G H = {5-2} e^2-h and thefully disconnected case G H = 0.



Autor: Sourin Das, Sumathi Rao, Diptiman Sen

Fuente: https://arxiv.org/







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