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Resonant tunneling between Luttinger liquids: a solvable case
1Physikalisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany.
Physical Review Letters
|July 15, 2003
Summary
We studied the electrical conductance of a Luttinger liquid with a quantum dot. A solvable point was found, yielding exact results for nonlinear current-voltage characteristics and linear conductance scaling.
Area of Science:
- Condensed Matter Physics
- Quantum Transport
Background:
- Luttinger liquids exhibit exotic electronic properties.
- Quantum dots can modify electron transport.
Purpose of the Study:
- Investigate conductance in a Luttinger liquid interrupted by a quantum dot.
- Analyze nonlinear current-voltage characteristics and linear conductance.
Main Methods:
- Bosonization and refermionization techniques.
- Mapping to a solvable Kondo-type problem.
- Analysis at a nontrivial Toulouse-type point.
Main Results:
- Derived analytic expression for nonlinear current-voltage characteristics.
- Analyzed differential conductance and resonance peak width dependence on various parameters.
- Determined the exact scaling function for linear conductance.
Conclusions:
- The study provides exact analytical results for a complex quantum transport system.
- Identified a solvable point offering deep insights into quantum dot-Luttinger liquid interactions.