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Published October 18, 2011 | Published
Journal Article Open

Energy Partitioning of Tunneling Currents into Luttinger Liquids

Abstract

Tunneling of electrons of definite chirality into a quantum wire creates counterpropagating excitations, carrying both charge and energy. We find that the partitioning of energy is qualitatively different from that of charge. The partition ratio of energy depends on the excess energy of the tunneling electrons (controlled by the applied bias) and on the interaction strength within the wire (characterized by the Luttinger-liquid parameter κ), while the partitioning of charge is fully determined by κ. Moreover, unlike for charge currents, the partitioning of energy current should manifest itself in dc experiments on wires contacted by conventional (Fermi-liquid) leads.

Additional Information

© 2011 American Physical Society. Received 19 August 2011; published 18 October 2011. We acknowledge discussions with G. Barak, A. Levchenko, T. Micklitz, and A. Yacoby, financial support through DFG SPP 1538 (FUB), DOE Contract No. DE-FG02-08ER46482 (Yale), and the Packard Foundation (Caltech), as well as the hospitality of the Aspen Center for Physics during part of this work.

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August 19, 2023
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