11 papers
A Spectral Route to Directed-Polymer Glasses
Sen Mu, Abbas Ali Saberi, Mehran Kardar
A finite density of mutually avoiding directed polymers in a quenched random medium is a minimal model of glassy line matter. The dilute theory, solved by replica Bethe ansatz, pre…
Multifractality at the Integer Quantum Hall Transition: Acquittal of the Parabolic Law
Sen Mu, Abbas Ali Saberi, Martin R. Zirnbauer
Stationary wave functions at the integer quantum Hall transition are known to be multifractal, but the exact form of the multifractality spectrum has remained a subject of debate.…
Large-deviation tails of critical order-parameter distributions
Jinhong Zhu, Yihao Xu, Abbas Ali Saberi +1
Large-deviation tails of critical probability distributions provide a sensitive probe of universality beyond standard finite-size scaling. We study these tails for critical percola…
Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
Yaprak Ãnder, Abbas Ali Saberi, Roderich Moessner
We introduce a random matrix framework for studying statistical-mechanical lattice systems through spectral observables. Equilibrium configurations sampled from a Boltzmann measure…
Long-Range Correlated Random Matrices
Abbas Ali Saberi, Roderich Moessner
Motivated by the importance ascribed to correlations in random matrices used to model phenomena in various scientific disciplines, we report how algebraic correlations between matr…
Extreme-Value Criticality and Gain Decomposition at the Integer Quantum Hall Transition
Wei-Han Li, Abbas Ali Saberi
Extreme-value fluctuations at quantum critical points remain poorly understood in the presence of strong correlations and openness. At the integer quantum Hall transition in the op…