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Self-duality in superconductor-insulator quantum phase transitions
1Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT, Finland and and Institut fur Theoretische Physik, Freie Universitat Berlin, Arnimallee 14, 14195 Berlin, Germany.
Physical Review Letters
|October 21, 2000
Summary
The interaction between two vortices in a disordered superconducting thin film changes from logarithmic to 1/r near a quantum critical point. This supports the charge-vortex duality model explaining reflection symmetry in current-voltage characteristics.
Area of Science:
- Condensed matter physics
- Quantum critical phenomena
Background:
- Disordered superconducting thin films exhibit complex behavior near phase transitions.
- Vortex interactions are crucial for understanding the electronic properties of superconductors.
Purpose of the Study:
- To investigate the distance dependence of the interaction between two vortices near a quantum critical point.
- To provide theoretical support for the charge-vortex duality in disordered superconductors.
Main Methods:
- Theoretical analysis of vortex interactions.
- Mean-field theory and quantum critical fluctuation analysis.
Main Results:
- The vortex interaction changes from logarithmic in the mean-field region to 1/r in the quantum critical region.
- This distance dependence is consistent with charge-vortex duality.
Conclusions:
- The study elucidates the nature of vortex interactions near quantum criticality.
- Findings support the charge-vortex duality, explaining observed symmetries in current-voltage characteristics.
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