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Tunneling into a Luttinger liquid revisited
D N Aristov1, A P Dmitriev, I V Gornyi
1Petersburg Nuclear Physics Institute, St. Petersburg, Russia.
Physical Review Letters
|January 15, 2011
Summary
Electron-electron interactions affect tunneling in Luttinger liquids. Tunneling conductance can become nonmonotonic with temperature or bias voltage due to complex renormalization effects.
Area of Science:
- Condensed matter physics
- Quantum transport
Background:
- Electron-electron interactions significantly influence quantum systems.
- Luttinger liquid theory describes one-dimensional interacting electron systems.
Purpose of the Study:
- Investigate the renormalization of tunneling in Luttinger liquids beyond lowest-order perturbation.
- Analyze the stability of the conventional fixed point and the emergence of nonperturbative effects.
Main Methods:
- Perturbation theory in tunneling amplitude
- Analysis of fixed points and their basins of attraction
- Consideration of finite-size effects in point contacts
Main Results:
- The conventional fixed point is only stable in an idealized point contact model.
- Finite contact sizes lead to instability, causing breakup of the Luttinger liquid.
- Nonperturbative renormalization can result in nonmonotonic tunneling conductance behavior.
Conclusions:
- Electron-electron interactions introduce complex renormalization effects on tunneling.
- Finite contact geometry plays a crucial role in the stability of tunneling processes.
- Observed nonmonotonic conductance suggests deviations from simple perturbative descriptions.
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