Statistical and condensed matter physics

Introduction

Our activities in statistical and condensed matter physics are divided into three groups: Non equilibrium statistical physics, disordered systems and condensed matter physics. In both groups, the contact with experimental groups is more and more important. In particular contacts and collaborations on some specific problems with teams of the life science institutes of CEA/DRF are under developments. 

 

Permanent staff: Marc Barthelemy, Cristina Bena, Jérémie Bouttier, Bertrand Duplantier, Laura Foini, Claude Godrèche, Olivier Golinelli, Emmanuel Guitter, Jérome Houdayer, Jean-Marc Luck, Kirone Mallick, Grégoire Misguich, Cécile Monthus, Henri Orland, Olivier Parcollet, Catherine Pépin, Marco Schiro, Pierfrancesco Urbani, Lenka Zdeborova

Emeritus: Alain Billoire

 
Statistical and condensed matter physics

Spectrum of the non-backtracking matrix of a network

Non equilibrium and Disordered Systems

The new frontier in statistical physics is to build a general theory of systems out of equilibrium, continuously evolving with time. No theoretical framework is available that would encompass the physics of systems interacting with their environment through continuous exchanges of charge, spin, energy, or momentum. Yet, in nature, heat and matter fluxes are ubiquitous and systems far from equilibrium are the majority rather than the exception. Artificial devices (complex networks, urban patterns), algorithms currently used in data sciences, as well as living matter provide us with prominent examples. The IPhT is a major actor in the study of these crucial issues.

A global perspective of time-dependent processes involving a large number of interacting elementary constituents requires elaborate theoretical tools that can be developed using techniques of quantum field theory, conformal symmetries and integrable systems. Exact solutions of models far from equilibrium have allowed us to determine rare event statistics and large deviation functions that play the role of non-equilibrium thermodynamic potentials.  We study phase transition in random systems such as structural glasses, as well as
their dynamics and relation to jammed packings, and to spin glasses.

All the above methods are applied very successfully to multidisciplinary subjects such as machine learning, statistics, analysis of neural-networks, theory of algorithms, and biology (e.g. structure and folding  of bio-molecules). Finally, the quantitative study of geographic and urban networks using the mathematical apparatus of statistical mechanics is a rapidly developing theme that offers a promising cross-disciplinary perspective 

 
Statistical and condensed matter physics

Generic phase diagram of cuprate superconductors

Quantum Systems and Condensed Matter

At low temperatures, when quantum effects become important, condensed-matter systems can exhibit many spectacular phenomena.  In this context, superconductivity, superfluidity, quantum Hall effect, quantum phase transitions, or the Anderson localization are a few classic examples.  The understanding of these systems can be particularly challenging in presence of strong interactions among the particles (electrons, bosons, or spins), and/or in presence of disorder, or when not in thermal equilibrium.

At the institute we use and develop a large spectrum of theoretical and/or numerical techniques to investigate these problems, like field theory, effective models, dynamical mean-field theory, integrability methods, or many-body simulations to name a few. In the last few years, the research activity at the IPhT has been focused on topological states of matter (Majorana Physics), high-temperature superconductivity, systems far from equilibrium (dissipation, periodic driving or quantum quenches), transport phenomena (impurity models and low-dimensional systems), as well as on the role of disorder (Many-body localization).

 

Soft Matter and Biological Systems

Polymers provide physical realizations of stochastic processes such as Brownian motion or self-avoiding random walks. Other types of stochastic processes control the functioning of molecular motors and the folding of proteins. Some universal aspects of membranes (flexible films, biological membranes) are closely related to the random geometries studied in string theories and quantum gravity. When objects are charged (polyelectrolytes, charged membranes) or possess internal degrees of freedom, their physical and geometrical properties may be deeply modified: new phases may appear. Random polymer physics governs the complex interactions between chemically different monomers in biopolymers. One can study the denaturation of DNA or protein folding and RNA within this framework. For the latter, the classification of folded forms can be done using tools of topology (genus, Euler characteristic), leading to the development of powerful algorithms for structure prediction. In addition, most biopolymers carry charges, and the Coulomb interaction determines their universal properties of aggregation and solvation in the cell.

 

Last update : 01/14 2019 (866)

 

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