Search for two-scale localization in disordered wires in a magnetic field

Area of Science:

• Condensed matter physics
• Quantum mechanics
• Disordered systems

Background:

• A previous study predicted a two-scale wave function decay in disordered wires.
• This behavior was expected in the crossover regime between preserved and broken time-reversal symmetry.

Purpose of the Study:

• To experimentally test the prediction of two-scale wave function decay.
• To investigate the influence of time-reversal symmetry on wave function decay.

Main Methods:

• Utilized a transmission approach to study wave function decay.
• Employed the Borland conjecture to link transmittance decay length to wave function decay length.
• Conducted numerical simulations to analyze the behavior.

Main Results:

• Numerical simulations did not reveal any evidence of two-scale wave function behavior.
• The findings contradict the prediction of a two-scale decay in the specified regime.

Conclusions:

• The predicted two-scale behavior of wave function decay in disordered wires was not observed.
• Further research may be needed to understand wave function decay in systems with varying time-reversal symmetry.