Leave the beaten tracks occasionally and dive into the woods,

                                                                                                                                                                                                                           You will be certain to find something that you have never seen before

                                                                                                                                                                                                                           Graham Bell (1847-1922)

Gilles Montambaux


Laboratoire de Physique des Solides,
Associé au CNRS ,  Université Paris-Sud
91405 - ORSAY , France 

Room S-105  

Comment venir au Labo, How to reach my office

01 69 15 69 29                ( 06 16 37 69 79  mobile )

33 1 69 15 69 29              from abroad

As the field increases, the Landau level spacing increases (diamagnetism), the Landau degeneracy increases (eB/h). This is possible thanks to the edges : the energy of the edge states decreases (edge states are paramagnetic)  and the edge states become progressively bulk Landau states.









Spring School "GRAPHENE  & CO : Frontier research in 2D materials", Cargèse, june 2018


Course “Quantum transport in 2D”

Lecture 1 : Generalities on quantum transport

Lecture 2 : Landauer-Büttiker formalism of quantum transport

Lecture 3 : Dirac Matter


Have you ever seen the Green flash ?   Here is one  !

















COURS PHY560 B : Conduction Quantique et Physique Mésoscopique


COURS PHY433 : Physique Statistique













Summer School "Disorder in Condensed Matter and Ultracold Atoms", Cargèse, june 2016


Course “Disorder and Mesoscopic Physics”

Lecture 1

Lecture 2

Lecture 3

Lecture 4

















« Mesoscopic Physics for Beginners »  a short tutorial presented at GDR Physique Quantique Mésocopique, Aussois, déc. 2015




« Les graphènes artificiels, des microondes aux atomes froids »

Journée Jacques Friedel à l'Académie des sciences : Physique de la matière condensée au 21e siècle - L'impact de Jacques Friedel, 26 janvier 2016






·            Publications on motion and merging of Dirac cones in graphene and artificial graphenes




Sketch_2-02.jpgnature.jpg    Honeycomb lattices in different materials enable experiments impossible in the real thing


logocnrs.pngActualité CNRS     Du graphène artificiel : Propagation de microondes dans un réseau en nid d’abeilles : ici        


logocnrs.pngActualité CNRS     Merging of Dirac points, a topological transition






Graphene, coined the “miracle material”, owes many wonder to its

electrons that exhibit relativity in a flat land. Cold gaseous atoms

 held in an artificial crystal made with lasers can emulate closely

 this behavior. Most recently, an experimental group in Zurich,

 Switzerland, has realized an artificial graphene that can be stretched

 beyond the cohesion of a real-life graphene sheet. To wit, its

 relativistic behavior ceases, the electrons become massive, and a new

 type of insulator emerges. This scenario has been hypothesized by

 theorists in the past few years and is genuinely topological. In our

 paper, we provide an accurate theoretical framework in which to

 analyze the cold atoms experiment. From the crystal made of lasers to

 a theoretical model that captures the signature of such a transition,

 we show conclusively the observed key properties of stretching the

 graphene sheet to the extreme with cold atoms. Most remarkably, at the

Exp : L.Tarruell et al., Nature 483, 302 (2012)

Theory :  L.K. Lim et al., Phys. Rev. Lett. 108, 175303 (2012)

 transition point, the system behaves as both relativistic and

 non-relativistic at the same time, a scenario which will open new

 research directions in the near future.



Ecole du GDR Physique Mésoscopique, septembre 2012                                

Cours « Transport quantique dans les systèmes désordonnés

cours 1

cours 2 - TD

cours 3

cours 4

texte exercices

relation d’Einstein pour la conductivité

cours « Physique mésoscopique et conduction quantique », Ecole Polytechnique


Have you ever seen the Green flash ?   Here is one  !


« La révolution du graphène », Tunis, Novembre 2011, Cours 1, Cours 2, Exercices


A look inside the Hofstadter spectrum, here



Enseignement à l'Ecole Polytechnique


Recent publications


Lecture notes, Seminars        


Theory group in Orsay


Ecole Physique Quantique Mésoscopique

Cargèse, 3-15 septembre 2012


Moriond 2011: Quantum Mesoscopic Physics

13-20 March 2011, La Thuile


GDR Physique Quantique Mésoscopique

(french research network)

GDR 2002-2009


Ecoles, Conférences, Moriond, les Houches   


Ecole “Physique Quantique Mésoscopique”,

Cargèse 2008, transparents des cours



Lecture : R.P. Feynman

There is plenty of space at the bottom

En 1959, R. Feynman donne une conférence sur les développements possibles lies à la miniaturisation : un texte visionnaire…



couverture_small                   en_flag 


Mesoscopic Physics of Electrons and Photons                              

Eric Akkermans, Gilles Montambaux


Cambdrige University Press, 2007    




physique-mesoscopique                        fr_flag


Physique mésoscopique des électrons et des photons

Eric Akkermans, Gilles Montambaux


EDPSciences, 2004




Last modification:  October 2017


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