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Related Experiment Videos

Disorder induced cross-over effects at quantum critical points.

E Carlon1, P Lajkó, F Iglói

  • 1INFM, Dipartimento di Fisica, Università di Padova, I-35131 Padova, Italy.

Physical Review Letters
|January 22, 2002
PubMed
Summary

This study investigates quantum spin chains with disorder, revealing three distinct phases. Critical properties shift from pure system behavior to infinite randomness depending on disorder strength.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Quantum spin chains are fundamental models in condensed matter physics.
  • Disorder plays a crucial role in determining the critical properties and phases of quantum systems.
  • Understanding the interplay between quantum criticality and disorder is essential for predicting material behavior.

Purpose of the Study:

  • To investigate the critical properties of quantum spin chains at zero temperature under varying degrees of disorder.
  • To map out the phase diagram of disordered quantum spin chains.
  • To analyze the nature of critical behavior in different disorder regimes.

Main Methods:

  • Analytical techniques were employed to study the critical properties.

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  • Extensive Density Matrix Renormalization Group (DMRG) methods were utilized for numerical simulations.
  • Zero-temperature analysis was performed to focus on ground-state properties.
  • Main Results:

    • A phase diagram comprising three distinct phases was identified.
    • The weak disorder regime exhibits critical behavior governed by the fixed points of the pure system.
    • The strong disorder regime is characterized by an infinite randomness fixed point.
    • An intermediate disorder regime was discovered with anisotropic dynamical scaling and disorder-dependent exponents.

    Conclusions:

    • The phase diagram of disordered quantum spin chains is complex, featuring distinct regimes.
    • Disorder fundamentally alters the critical behavior, leading to new universality classes.
    • The identified intermediate regime highlights unique scaling properties not present in pure systems.