Effect of inter-edge Coulomb interactions on transport through a point contact in nu=5/2 quantum Hall state

We study transport across a point contact separating two line junctions in a nu = 5/2 quantum Hall system. We analyze the effect of inter-edge Coulomb interactions between the chiral bosonic edge modes of the half-filled Landau level (assuming a Pfaffian wave function for the half-filled state) and of the two fully filled Landau levels. In the presence of inter-edge Coulomb interactions between all the six edges participating in the line junction, we show that the stable fixed point corresponds to a point contact that is neither fully opaque nor fully transparent. Remarkably, this fixed point represents a situation where the half-filled level is fully transmitting, while the two filled levels are completely backscattered; hence the fixed point Hall conductance is given by G(H) = 1/2e(2)/h. We predict the non-universal temperature power laws by which the system approaches the stable fixed point from the two unstable fixed points corresponding to the fully connected case (G(H) = 5/2e(2)/h) and the fully disconnected case (G(H) = 0).

Theory For The Anomalous Hall Constant Of Mixed-Valence Systems

We show that the large anomalous Hall constants of mixed-valence and Kondo-lattice systems can be understood in terms of a simple resonant-level Fermi-liquid model. Splitting of a narrow, orbitally unquenched, spin-orbit split, f resonance in a magnetic field leads to strong skew scattering of band electrons. We interpret both the anomalous signs and the strong temperature dependence of Hall mobilities in CeCu2Si2, SmB6, and CePd3 in terms of this theory.

Graphical method to include temperature variation of activation energy in Hall data analysis

A graphical method is presented for Hall data analysis, including the temperature variation of activation energy due to screening. This method removes the discrepancies noted in the analysis of recently reported Hall data on Si(In).

Elizabeth Engel nee Benjamin-Rasmussen with her daughter Dorel Hall nee Engel in Elizabeth's home; Silver Springs, Maryland Portraits Family

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Joseph Molling with wife Margarete "Gretchen" nee Benjamin and son Peter on a walk.

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Portrait of Hedwig and Ludwig Heinemann and Margarete nee Benjamin and Joseph Molling.

Elderly couple Hedwig and Ludwig Heinemann envolved with Adolph Molling Business. Younger couple is Margarete "Gretchen" Molling geb. Benjamin and Joseph Molling.

Portrait of Joseph and his sister Elly Schoenbeck; Cologne, Germany. Portraits family

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Portrait of Joseph Rothschild and his wife Rosalie nee Stern; Bad Ems, Germany. Portraits Couples

Handwritten on verso of original photograph: Joseph u Rosalie Rothschild

Tombstone of Joseph Benjamin; Strangriede Cemetery, R83.8; Hannover Cemeteries Tombs

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Tombstones of Joseph Benjamin and Marianne Benjamin nee Sussmann; Strangriede Cemetery (R 83.8 and R 83.9); Hannover Cemeteries Tombs

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Portrait of Dr. Joseph Wallerstein holding his infant grandson Hans Stern.

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Tombstone of Joseph Benjamin; Strangriede Cemetery (R 83.8); Hannover Cemeteries Tombs

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Joseph Ritter von Wertheimer, Moritz Lazarus and Abraham Geiger; Officers of the first Jewish Council of Leipzig Portraits; Groups; Men

"Praesidium der ersten israelitischen Synode zu Leipzig. II Vicepraesident Ritter V. Wertheimer aus Wien. Praesident Prof. Dr. M. Lazarus aus Berlin. I Vicepraesident Dr. A. Geiger aus Frankfurt a/M."

Portrait of Dr. Joseph Wallerstein; Danzig.

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Studio portrait of Joseph Molling and business partner Ernst Joachim (?); Hannover, Germany.

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