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Quantum response for chaotic resonances

Iomin1

  • 1Physics Department, Technion, Haifa 32000, Israel.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Quantum fluctuations significantly impact conducting electrons under electromagnetic and magnetic fields. A new nonperturbative method reveals how conductivity depends on magnetic fields and quantum localization length.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Nonlinear dynamics

Background:

  • Conducting electrons in solids exhibit complex dynamics under external fields.
  • Quantum effects can become significant, altering electron behavior.
  • Understanding these dynamics is crucial for materials science and electronics.

Purpose of the Study:

  • To investigate the chaotic dynamics of conducting electrons.
  • To analyze the role of quantum fluctuations in these dynamics.
  • To develop a method for calculating kinetic coefficients under specific field conditions.

Main Methods:

  • Consideration of chaotic dynamics in a high-frequency electromagnetic field and a constant magnetic field.
  • Application of a nonperturbative approach to calculate kinetic coefficients.

Related Experiment Videos

  • Derivation of an analytical expression for conductivity.

    • Main Results:

    • Quantum fluctuations are important on time scales shorter than mean free time.
    • An analytical expression for the kinetic coefficient (conductivity) was obtained.
    • The dependence of conductivity on magnetic field and quantum localization length was determined.

    Conclusions:

    • Quantum fluctuations play a critical role in electron dynamics under combined fields.
    • The developed nonperturbative method provides a new way to calculate conductivity.
    • Conductivity is shown to be dependent on quantum localization length, offering insights into electron transport.