The probability distribution P(S) of the ground-state spin S of a small metal grain for several values of exchange-interaction parameter (in units of average level spacing). Red histograms are for even spin, purple ones for odd spin. The x-axis of all graphs starts with spin 0 and increases to the right in increments of spin ½. This graph presents a generalization of Hund's rule for systems without apparent symmetries.
For more details see Phys. Rev. B 60, R13977.

 Research Highlights:

1. Quantum dots:
   • The transmission phase shift through a quantum dot that is coupled to leads and forms a many body state (known as the Kondo resonance) is calculated. This work is related to experimental studies at the Braun Center for Submicron Research at the Weizmann Institute of Science.
   • A generalization of Hund’s rules to disordered dots.  
2. Several aspects of disorder superconductors and normal metal - superconducting junctions are studied, including the interplay between bosons and fermions in this system.
3. Luttinger liquids in one-dimensional systems.
4. Bi-layer systems.

Please consult the relevant papers in the list of selected publications for more details.

 Collaborators:

• Alexander Altland, University of Cologne, Germany
• Piet. W. Brouwer, Cornell University, USA
• Jan von Delft, University of Munich, Germany
• Eugene Demler, Harvard University, USA
• Alexander M. Finkel'stein, Weizmann Institute of Science, Israel
• Bertrand I. Halperin, Harvard University, USA
• B. D. Simons, University of Cambridge, UK

 Group Members:

• Alessandro Silva, a Ph. D. student, works on various aspects of transport through quantum dots with Kondo correlations.
• I have openings for one Masters or PH.D. student, and a postdoctoral fellow; please contact me for further details.

 Selected Publications:

1. Quantum dots: 
   • Transmission Phase Shift of a Quantum Dot with Kondo Correlation. Ulrich Gerland, Jan von Delft, T. A. Costi, and Yuval Oreg.
     Phys. Rev. Lett. 84, 3710 (2000).
   • Mesoscopic fluctuations of the ground-state spin of a small metal particle. P. W. Brouwer, Yuval Oreg, and B. I. Halperin.
     Phys. Rev. B 60, R13977 (1999).
   • Spin Configurations of a Carbon Nanotube in a Nonuniform External Potential. Yuval Oreg, Krzysztof Byczuk, and Bertrand I. Halperin.
     Phys. Rev. Lett. 85, 365 (2000).

2. Superconductivity in low dimensional systems:
   • Suppression of T_c in Superconducting Amorphous Wires. Yuval Oreg and Alexander M. Finkel'stein.
     Phys. Rev. Lett. 83, 191 (1999).
   • Fermions and Bosons in Superconducting Amorphous Wires. Yuval Oreg and Eugene Demler.
     cond-mat/0106645.
   • Competition between Zero Bias Anomaly and Proximity Effect in Disordered Systems. Yuval Oreg, P. W. Brouwer, B. D. Simons, and Alexander Altland. 
     Phys. Rev. Lett. 82, 1269 (1999).

3. Luttinger liquids:
   • A single impurity in Tomonaga-Luttinger liquids. Yuval Oreg and Alexander M. Finkel'stein.
     Phil. Mag. 77(5) 1145-1160 (1998).

4. Bi-Layer systems: 
   • Longitudinal drag and Hall drag in a bi-layer system with pinholes. Yuval Oreg and Bertrand I. Haplerin.
     Phys. Rev. B 60, 5679 (1999).

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