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Updated: Jun 29, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
Published on: January 19, 2018
Nonequilibrium Luttinger liquid: zero-bias anomaly and dephasing
D B Gutman1, Yuval Gefen, A D Mirlin
1Institut für Theorie der kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany.
We studied interacting electrons in one dimension using the Luttinger liquid model. Electron-electron scattering causes dephasing, smearing singularities in tunneling density of states despite no energy relaxation.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Mesoscopic Physics
Background:
- Understanding non-equilibrium quantum systems is crucial for advancing condensed matter physics.
- The Luttinger liquid model provides a framework for studying one-dimensional interacting electron systems.
- Tunneling spectroscopy is a key technique for probing electronic properties.
Purpose of the Study:
- To investigate the behavior of interacting electrons in a one-dimensional system out of equilibrium.
- To develop a theoretical framework for tunneling into such systems.
- To analyze the impact of electron-electron scattering on transport properties.
Main Methods:
- Utilizing the Luttinger liquid model for theoretical analysis.
- Studying various experimental setups for tunneling.
- Developing a theory to describe tunneling phenomena.
Main Results:
- Identified the absence of relaxation in energy distribution functions for left and right movers.
- Established the presence of a finite dephasing rate due to electron-electron scattering.
- Observed the smearing of zero-bias-anomaly singularities in the tunneling density of states.
Conclusions:
- Electron-electron interactions in 1D systems out of equilibrium lead to dephasing without energy relaxation.
- Tunneling spectroscopy reveals the effects of dephasing on electronic states.
- The findings offer insights into quantum transport in non-equilibrium mesoscopic systems.
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