Conductance fluctuations in 2D Anderson-disordered tight-binding systems transition from non-ergodic to ergodic with rising disorder while multifractality persists, driven by long-range correlations in weak disorder and distributional effects in strong disorder.
Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE
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abstract
In the second article of this series, we establish the convergence of the loop ensemble of interfaces in the random cluster Ising model to a conformal loop ensemble (CLE) --- thus completely describing the scaling limit of the model in terms of the random geometry of interfaces. The central tool of the present article is the convergence of an exploration tree of the discrete loop ensemble to a branching SLE$(16/3,-2/3)$. Such branching version of the Schramm's SLE not only enjoys the locality property, but also arises logically from the Ising model observables.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.
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Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder
Conductance fluctuations in 2D Anderson-disordered tight-binding systems transition from non-ergodic to ergodic with rising disorder while multifractality persists, driven by long-range correlations in weak disorder and distributional effects in strong disorder.
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Strong universality class in disordered systems
Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.