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Nonlinear transport near a quantum phase transition in two dimensions.
Denis Dalidovich1, Philip Phillips
1National High Field Magnetic Laboratory, Florida State University, Tallahassee, Florida 32310, USA.
Physical Review Letters
|August 25, 2004
Summary
We solved nonlinear transport near a quantum phase transition, finding conductivity scales with electric field strength. This reveals universal behavior in the quantum-disordered regime for insulators and superconductors.
Area of Science:
- Condensed matter physics
- Quantum phase transitions
- Nonlinear transport phenomena
Background:
- Understanding nonlinear transport near quantum phase transitions is crucial for condensed matter physics.
- The dissipative insulator-superconductor phase transition in two dimensions presents a complex theoretical challenge.
Purpose of the Study:
- To solve the problem of nonlinear transport near a two-dimensional dissipative insulator-superconductor quantum phase transition.
- To determine the scaling function for nonlinear conductivity in the quantum-disordered regime.
Main Methods:
- Utilized Landau theory to model the phase transition.
- Employed the nonequilibrium Schwinger round-trip Green function formalism.
- Analyzed the quantum-disordered regime.
Main Results:
- Derived the scaling function for nonlinear conductivity.
- Observed conductivity scaling as E^2 at low electric fields (E).
- Identified a crossover to a universal constant (e^2/h) at high electric fields.
Conclusions:
- The study provides a theoretical solution for nonlinear transport near a specific quantum phase transition.
- A crossover in conductivity scaling is predicted, dependent on the interplay between quantum fluctuation length scales and electric field strength.
- The findings offer insights into universal behavior in disordered quantum systems.