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CNRS
PhD student (M/F) in theoretical physics disorder and relaxation in loop models
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Job Description
3 Sep 2026 Job Information Organisation/Company CNRS Department Laboratoire de Physique des Solides Research Field Physics Physics » Solid state physics Physics » Surface physics Researcher Profile First Stage Researcher (R1) Application Deadline 23 Sep 2026 - 23:59 (UTC) Country France Type of Contract Temporary Job Status Full-time Hours Per Week 35 Offer Starting Date 1 Oct 2026 Is the job funded through the EU Research Framework Programme? Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure? No Offer Description The PhD will be carried out primarily at the Laboratoire de Physique des Solides, UMR 8502, CNRS - Université Paris-Saclay, in Orsay, within a research environment in condensed matter physics and statistical physics. The PhD student will work under the scientific supervision of Chunxiao Liu. They will benefit from scientific interactions within the laboratory, particularly in the areas of strongly correlated quantum systems, frustrated magnetism, topological phenomena, and statistical physics. The project has a strong analytical and numerical component and will involve the development of computational methods, simulations, and spectral-analysis tools. During the PhD, the student will progressively develop expertise in Ising and loop models, Markov processes, disordered systems, renormalization methods, rare-event phenomena, and Rokhsar-Kivelson Hamiltonians. The student will also participate in the scientific activities of the laboratory, including seminars, collaborations, and, where appropriate, conferences and thematic schools. Disorder and relaxation in topologically constrained loop models: from stochastic dynamics to Rokhsar-Kivelson quantum spectra This PhD project investigates the effect of quenched disorder on the relaxation dynamics of loop systems subject to topological constraints. The reference model is related to the domain-wall representation of the Ising model on the triangular lattice and to the graph expansion of the Ising model on the honeycomb lattice. The main objective is to understand how spatial disorder, even when weak, can modify relaxation times when local dynamics forbids loop reconnection. Particular attention will be paid to distinguishing between a perturbative regime, long crossover behavior, and a possible asymptotic regime dominated by disorder or rare events. The project will combine analytical and numerical methods, including exact methods for the Ising model and the Kac-Ward formalism, reversible Markov chains, renormalization-group techniques, spectral analysis, large-deviation methods, and kinetic Monte Carlo simulations. Detailed balance will also make it possible to map the stochastic generator onto a Rokhsar-Kivelson Hamiltonian, thereby establishing a direct connection between classical relaxation dynamics and quantum spectra.