Exact nonequilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
- Department of Physics, University of Southern California, Los Angeles, California 90089-0484 (United States)
- Department of Physics, University of California, Santa Barbara, Santa Barbara, California 93106 (United States)
We have recently calculated exact nonequilibrium quantum transport properties through a point contact in a Luttinger liquid. Using a particular quasiparticle basis of the Hilbert space dictated by integrability, we here compute explicitly the exact {ital I}({ital V}) characteristic and conductance out of equilibrium as a function of driving voltage {ital V} and temperature {ital T}. These are described by universal scaling functions of two variables, the scaled point-contact interaction strength, and {ital V}/{ital T}. The differential-conductance curve as a function of the interaction strength broadens significantly as {ital V}/{ital T} is increased, and develops a pronounced maximum at a (universal) critical value ({ital eV}/{ital k}{sub {ital B}}{ital T})=7.188 68. . .. In addition, we derive an exact duality between strong and weak backscattering. The theory presented here has recently been realized experimentally in resonant tunneling-transport experiments between edge states in fractional quantum Hall effect devices. In this context the exact duality is between electron tunneling and Laughlin-quasiparticle tunneling.
- Research Organization:
- Univ. of Southern California, Los Angeles, CA (United States)
- DOE Contract Number:
- FG03-84ER40168
- OSTI ID:
- 249458
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 52, Issue 12; Other Information: PBD: 15 Sep 1995
- Country of Publication:
- United States
- Language:
- English
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