12 papers
Random walks in Dirichlet random environment in dimension
Guillaume Barraquand, Alexander K. Hartmann, Pierre Le Doussal
The atypical behaviour of random walks in time-dependent random environment was recently related to Kardar-Parisi-Zhang (KPZ) growth. While this is now well-understood in spatial d…
Randomly twisted bilayer graphene -- the cascade transitions
Baruch Horovitz, Pierre Le Doussal
Twisted bilayer graphene (TBG) is known to have disorder in its twist angle. We show that in terms of a Dirac equation with a random gauge potential this disorde…
A transition in the hole probability at finite temperature for free fermions in dimensions
Giuseppe Del Vecchio Del Vecchio, Pierre Le Doussal, Gregory Schehr
In a free Fermi gas at temperature much higher than the Fermi temperature one expects that the fluctuations of the number of particles in a given region has Poissonian/classica…
Mesoscopic fluctuation theory of particle systems driven by Poisson noise: study of the -TASEP
Alexandre Krajenbrink, Pierre Le Doussal
We pursue our study of integrable weak noise theories of directed polymer and interacting particle stochastic models in the 1D KPZ universality class. Here we focus on the -TASE…
Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials
Yan Fyodorov, Pierre Le Doussal, Alexander Ossipov
We study the moments of and the associated large deviations of where are random matrix operators involving Laplace operators and r…
Universal Random Matrix Behavior of a Fermionic Quantum Gas
Maxime Dixmerias, Giuseppe Del Vecchio Del Vecchio, Cyprien Daix +6
The pursuit of universal governing principles is a foundational endeavor in physics, driving breakthroughs from thermodynamics to general relativity and quantum mechanics. In 1951,…