Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Unifying model for several classes of two-dimensional phase transition.

Yonatan Dubi1, Yigal Meir, Yshai Avishai

  • 1Physics Department, Ben-Gurion University, Beer Sheva 84105, Israel.

Physical Review Letters
|May 21, 2005
PubMed
Summary

A new model unifies quantum Hall, metal-insulator, and superconductor-insulator transitions. It uses quantum percolation and dephasing to map critical physics across different systems.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Spinterface-like Mechanism of the Chirality-Induced Spin Selectivity in Donor-Chiral Bridge-Acceptor Complexes.

Journal of the American Chemical Society·2026
Same author

Entropy of a Double Quantum Dot.

Physical review letters·2025
Same author

The Spinterface Mechanism for the Chiral-Induced Spin Selectivity Effect: A Critical Perspective.

ACS nano·2025
Same author

Surface Magnetic Stabilization and the Photoemission Chiral-Induced Spin-Selectivity Effect.

Journal of the American Chemical Society·2024
Same author

Bacterial defense and phage counterdefense lead to coexistence in a modeled ecosystem.

Proceedings of the National Academy of Sciences of the United States of America·2024
Same author

Author Correction: Real-time monitoring of reaction stereochemistry through single-molecule observations of chirality-induced spin selectivity.

Nature chemistry·2024

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Understanding critical phenomena in disordered systems is crucial.
  • Existing models often address specific transitions in isolation.
  • A unified framework for diverse phase transitions is lacking.

Purpose of the Study:

  • To develop a unified global phase diagram for quantum Hall, 2D metal-insulator, classical percolation, and superconductor-insulator transitions.
  • To provide a physically transparent model based on quantum percolation and dephasing.
  • To analyze critical behavior and address experimental puzzles.

Main Methods:

  • Construction of a global phase diagram using a quantum percolation and dephasing model.
  • Application of real-space renormalization group techniques.

Related Experiment Videos

  • Calculation of crossover functions between critical points.

    • Main Results:

    • A unified phase diagram encompassing multiple critical transitions was successfully constructed.
    • The model demonstrates the interconnectedness of critical physics in disordered systems.
    • Crossover functions and critical behaviors near fixed points were calculated.

    Conclusions:

    • The developed model offers a unified and physically transparent approach to understanding diverse critical phenomena.
    • The framework successfully unifies the critical physics of quantum Hall, metal-insulator, and superconductor-insulator transitions.
    • The study addresses and potentially resolves experimentally observed puzzles in these systems.