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Research interest: condensed-matter theory; strongly-correlated quantum fluids, cold atoms.
Nicolas Dupuis
Directeur de Recherche at CNRS
Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600
Université Pierre et Marie Curie,
4 Place Jussieu,
75252 Paris Cedex 05, France
Phone/Fax: +33 1 4427 2904/5100
E-mail: mylastname at lptmc.jussieu.fr
2010-: Directeur de Recherche at CNRS.
Sept. 2007-: Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie, Paris.
Sept. 2004 - Sept. 2007: Visiting scientist at Imperial College, London (contact: A. Hewson).
Janv. 1996 - Dec. 1998: Visiting scientist at university of Maryland, USA (contact: V. Yakovenko).
1993-: Researcher at CNRS (Chargé de Recherche), Laboratoire de Physique des Solides, Université Paris-Sud.
1990-1993: Ph.D thesis at Laboratoire de Physique des Solides, Université Paris-Sud (advisor: G. Montambaux).
1989-1990: military obligations as scientist at École Normale Supérieure, Paris.
1988-1989: DEA in condensed-matter physics, Université Paris-Sud.
1985-1988: Engineering school: École Nationale Supérieure des Télécommunications, Paris (Télécom ParisTech).
47- Quantum criticality of a Bose gas in an optical lattice near the Mott transition.
A. Rançon and N. Dupuis, Phys. Rev. A 85, 011602(R) (2012).
46- Nonperturbative renormalization-group approach to strongly correlated lattice bosons.
A. Rançon and N. Dupuis, Phys. Rev. B 84, 174513 (2011).
45- Nonperturbative renormalization-group approach to the Bose-Hubbard model.
A. Rançon and N. Dupuis, Phys. Rev. B 83, 172501 (2011).
44- Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons.
N. Dupuis, Phys. Rev. E 83, 031120 (2011).
43- From local to critical fluctuations in lattice models: a non-perturbative renormalization-group approach.
T. Machado and N. Dupuis, Phys. Rev. E 82, 041128 (2010).
42- Infrared behavior and spectral function of a Bose superfluid at zero temperature.
N. Dupuis, Phys. Rev. A 80, 043627 (2009).
41- DMFT-NRG for superconductivity in the attractive Hubbard model.
J. Bauer, A.C. Hewson, and N. Dupuis, Phys. Rev. B 79, 214518 (2009).
40- Unified picture of superfluidity: from Bogoliubov's approximation to Popov's hydrodynamic theory.
N. Dupuis, Phys. Rev. Lett. 102, 190401 (2009).
39- Non-perturbative renormalization-group approach to lattice models.
N. Dupuis and K. Sengupta, Eur. Phys. J. B 66, 271 (2008).
38- Non-perturbative renormalization-group approach to zero-temperature Bose systems.
N. Dupuis and K. Sengupta, Europhys. Lett. 80, 50007 (2007).
37- Bose-Fermi mixtures in an optical lattice.
K. Sengupta, N. Dupuis, and P. Majumdar, Phys. Rev. A 75, 063625 (2007).
36- Variational Cluster Perturbation Theory for Bose-Hubbard models.
W. Koller and N. Dupuis, J. Phys.: Condens. Matter 18, 9525-9540 (2006).
35- Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors.
J. C. Nickel, R. Duprat, C. Bourbonnais, and N. Dupuis, Phys. Rev. B 73, 165126 (2006).
34- Comment on ``Universal Spin-Flip Transition in Itinerant Antiferromagnets" by G. Varelogiannis.
N. Dupuis, Phys. Rev. Lett. 96, 209701 (2006).
33- Renormalization group approach to interacting fermion systems in the two-particle-irreducible formalism.
N. Dupuis, Eur. Phys. J. B 48, 319 (2005).
32- Triplet superconducting pairing and density-wave instabilities in organic conductors.
J. C. Nickel, R. Duprat, C. Bourbonnais, and N. Dupuis, Phys. Rev. Lett. 95, 247001 (2005).
31- Effective action for superfluid Fermi systems in the strong-coupling limit.
N. Dupuis, Phys. Rev. A 72, 013606 (2005).
30- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach.
K. Sengupta and N. Dupuis, Phys. Rev. A 71, 033629 (2005).
29- Mott insulator to superfluid transition of ultracold bosons in an optical lattice near a Feshbach resonance.
K. Sengupta and N. Dupuis, Europhys. Lett. 70, 586 (2005).
28- Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model.
N. Dupuis, Phys. Rev. B 70, 134502 (2004).
27- Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach.
K. Borejsza and N. Dupuis, Phys. Rev. B 69, 085119 (2004).
26- Field-induced spin-density-wave phases in TMTSF organic conductors: quantization versus non-quantization.
K. Sengupta and N. Dupuis, Phys. Rev. B 68, 094431 (2003).
25- Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: Slater vs Mott-Heisenberg.
K. Borejsza and N. Dupuis, Europhys. Lett. 63, 722 (2003).
24- Spin fluctuations and pseudogap in the two-dimensional half-filled Hubbard model at weak coupling.
N. Dupuis, Phys. Rev. B 65, 245118 (2002).
23- Spin-density-wave instabilities in the organic conductor (TMTSF)2ClO4: Role of anion ordering.
K. Sengupta and N. Dupuis, Phys. Rev. B 65, 035108 (2002).
22- A new approach to strongly correlated fermion systems: the spin-particle-hole coherent-state path integral.
N. Dupuis, Nucl. Phys. B 618, 617 (2001).
21- Effect of nearest- and next-nearest neighbor interactions on the spin-wave velocity of one-dimensional quarter-filled spin-density-wave conductors.
Y. Tomio, N. Dupuis and Y. Suzumura, Phys. Rev. B 64, 125123 (2001).
20- A strong-coupling expansion for the Hubbard model.
N. Dupuis and S. Pairault, Int. J. of Mod. Phys. B 14, 2529 (2000).
19- Effective action and collective modes in quasi-one-dimensional spin-density-wave systems.
K. Sengupta and N. Dupuis, Phys. Rev. B. 61, 13493 (2000).
18- Collective modes in a system with two spin-density waves: the `Ribault' phase of quasi-one-dimensional organic conductors.
N. Dupuis and V.M. Yakovenko, Phys. Rev. B 61, 12888 (2000).
17- A unified description of static and dynamic properties of Fermi liquids.
N. Dupuis, Int. J. Mod. Phys. B 14, 379 (2000).
16- Quantum Hall effect anomaly and collective modes in the magnetic-field-induced spin-density-wave phases of quasi-one-dimensional conductors.
N. Dupuis and V.M. Yakovenko, Europhys. Lett. 45, 361 (1999).
15- Effect of umklapp scattering on the magnetic-field-induced spin-density waves in quasi-one-dimensional organic conductors.
N. Dupuis and V.M. Yakovenko, Phys. Rev. B 58, 8773 (1998).
14- Fermi liquid theory: a renormalization group approach.
N. Dupuis, Eur. Phys. J. B 3, 315 (1998).
13- Sign reversal of the Quantum Hall Effect and helicoidal field-induced spin density waves in quasi-one-dimensional organic conductors.
N. Dupuis and V.M. Yakovenko, Phys. Rev. Lett. 80, 3618 (1998).
12- Dimensional crossover and metal-insulator transition in quasi-two-dimensional disordered conductors.
N. Dupuis, Phys. Rev. B 56, 9377 (1997).
11- Metal-insulator transition in highly conducting oriented polymers.
N. Dupuis, Phys. Rev. B 56, 3086 (1997).
10- Renormalization Group approach to Fermi liquid theory.
N. Dupuis and G. Chitov, Phys. Rev. B 54, 3040 (1996).
9- Mean-field theory of a quasi-one-dimensional superconductor in a high magnetic field.
N. Dupuis, J. Phys. I (France) 5 1577 (1995).
8- Larkin-Ovchinnikov-Fulde-Ferrell state in quasi-one-dimensional superconductors.
N. Dupuis, Phys. Rev. B 51 9074 (1995).
7- Thermodynamics and excitation spectrum of a quasi-one-dimensional superconductor in a high magnetic field.
N. Dupuis, Phys. Rev. B 50, 9607 (1994).
6- Superconductivity of quasi-one-dimensional conductors in a high magnetic field.
N. Dupuis and G. Montambaux, Phys. Rev. B 49, 8993 (1994).
5- Quasi-one dimensional superconductors in strong magnetic field.
N. Dupuis, G. Montambaux, and C.A.R. Sà de Melo, Phys. Rev. Lett. 70, 2613 (1993).
4- Localization and magnetic field in a strongly anisotropic conductor.
N. Dupuis and G. Montambaux, Phys. Rev. B 46, 9603 (1992).
3- Magnetic field induced Anderson localization in a strongly anisotropic conductor.
N. Dupuis and G. Montambaux, Phys. Rev. Lett. 68, 357 (1992).
2- Aharonov-Bohm flux and statistics of energy levels in metals.
N. Dupuis and G. Montambaux, Phys. Rev. B 43, 14390 (1991).
1- Electron minibands and Wannier-Stark quantization in an In0.15Ga0.85As-GaAs strained layer superlattice.
B. Soucail, N. Dupuis, R. Ferreira, P. Voisin, A.P. Roth, D. Morris, K. Gibb and C. Lacelle, Phys. Rev. B 41, 8568 (1990).
Other publications (proceedings, etc.)
14- Infrared behavior of interacting bosons at zero temperature [Proceedings of the International Conference on frustrated spin systems, cold atoms and nanomaterials (Hanoi, Vietnam, July 14-16, 2010)].
N. Dupuis, Mod. Phys. Lett. B 25, 963 (2011).
13- Infrared behavior of interacting bosons at zero temperature [Proceedings of the 19th International Laser Physics Workshop, LPHYS'10 (Foz do Iguaçu, Brazil, July 5-9, 2010)].
N. Dupuis and A. Rançon, Laser Physics 21, 1470 (2011).
12- Superfluid to Mott-insulator transition of cold atoms in optical lattices [Proceedings of the 5th International Workshop on Electronic Crystals, ECRYS 2008 (Cargèse, Corsica, France, August 24-30, 2008)].
N. Dupuis and K. Sengupta, Physica B 404, 517 (2009).
11- Superconductivity and Antiferromagnetism in Quasi-one-dimensional Organic Conductors [Invited paper for a special issue of Journal of Low Temperature Physics dedicated to the 20th anniversary of high-temperature superconductors].
N. Dupuis, C. Bourbonnais, and J. C. Nickel, Fizika Nizkikh Temperatur 32, 505 (2006) (cond-mat/0510544).
10- Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: Slater vs. Mott-Heisenberg [Proceedings of the International Conference on Magnetism, ICM 2003, Roma, July 27-August 1, 2003] .
K. Borejsza and N. Dupuis, J. of Magnetism and Magnetic Materials 272-276, 946 (2004).
9- Field-induced spin-density-wave phases in TMTSF organic conductors: quantization versus non-quantization [Proceedings of the fifth International Symposium on Crystalline Organic Metals, Superconductors and Ferromagnets (ISCOM 2003) (September 21-36, 2003, Port-Bourgenay, France)].
N. Dupuis and K. Sengupta, J. Phys. IV (France) 114, 61 (2004).
8- Spin waves in the spiral phase of a dopped antiferromagnet: a strong-coupling approach.
N. Dupuis, cond-mat/0105063.
7- Sign Reversal of the Quantum Hall Effect and Helicoidal Magnetic-Field-Induced Spin-Density Waves in Organic Conductors [Proceedings of the International Workshop on electronic crystals (ECRYS99) (May 31-June 5, 1999, La Colle-sur-Loup, France)].
N. Dupuis and V.M. Yakovenko, J. Phys. IV (France) 9, Pr10-199 (1999).
6- Quasi-one-dimensional superconductors: from weak to strong magnetic field [Proceedings of the workshop Exactly Aligned Magnetic Field Effects in Low-Dimensional Superconductors (November 15-18, 1998, Kyoto, Japan)].
N. Dupuis, J. of superconductivity 12, 475 (1999).
5- Sign reversal of the quantum Hall effect and helicoidal magnetic-field-induced spin-density waves in organic conductors [Proceedings of the conference on Strongly correlated systems (SCES98) (July 15-18, 1998, Paris, France)].
N. Dupuis and V.M. Yakovenko, Physica B 259-261, 1013 (1999).
4- Quasi-one-dimensional superconductor at high magnetic field [Proceedings of the Conference on Physical Phenomena at High Magnetic Field II (PPHMF-II) (Tallahassee, USA, May 1995), edited by Z. Fisk, L.P. Gor'kov, D. Meltzer, and R. Schrieffer (World Scientific, 1996)].
N. Dupuis
3- Quasi-one dimensional superconductors in strong magnetic field [Proceedings of the 20th International Conference on low temperature physics (LT-20) (Eugene, USA, 1993)].
G. Montambaux, N. Dupuis and C.A.R. Sà de Melo, Physica B 194-196, 1383 (1994).
2- Quasi-one dimensional superconductors in strong magnetic field. [Proceedings of the International Workshop on Electronic Crystals (ECRYS-93) (Carry Le Rouet, France, 1993)]
N. Dupuis, G. Montambaux, and C.A.R. Sà de Melo, J. Phys. I (France) 3, 311 (1993).
1- Localization, superconductivity and magnetic field in a quasi-1D conductor. [Proceedings of the International Conference on Science and Technology of Synthetic Metals (ICSM'92) (Goteborg, Suède, 1992)]
N. Dupuis and G. Montambaux, Synthetic Metals 55, 2853 (1993).
Notes on the many-body problem
- Functional integrals (pdf)
- Fermi liquid theory (pdf)
- The electron liquid (pdf)
- Renormalization group and critical phenomena (pdf)
M2 Parcours Physique Quantique
Année universitaire 2011-2012
thÉorie quantique des champs approfondie
Philippe Lecheminant (cours) et Nicolas Dupuis (travaux dirigés)
Résumé: L'objectif de ce cours est d'introduire les techniques du problème à N corps, dans le formalisme de l'intégrale fonctionnelle, et leurs applications dans le domaine de la matière condensée et de la physique des gaz atomiques ultrafroids. On étudiera en particulier le phénomène de brisure spontanée de symétrie (magnétisme, suprafluidité et supraconductivité) et les transitions de phase quantiques (antiferromagnétisme quantique, transition suprafluide-isolant de Mott, etc.).
Prérequis: Une bonne connaissance de la seconde quantification est demandée et des notions sur la théorie de Landau des transitions de phase sont souhaitables.
Plan du cours:
Chapitre 1: Approche fonctionnelle pour le problème à N corps
-États cohérents (bosons/fermions)
-Intégrales fonctionnelles.
Chapitre 2: Brisure spontanée de symétrie (magnétisme, superfluidité et supraconductivité)
-Notions générales sur la brisure spontanée de symétrie
-Brisure spontanée d'une symétrie globale continue
-Superfluidité et supraconductivité.
Chapitre 3: Transitions de phase quantiques
-Rappels sur les transitions de phase et les phénomènes critiques
-Transitions de phase à température nulle, effet de la température
-Exemples de transitions de phase quantiques
Plan détaillé du cours (pdf)
Bibliographie suggérée (pdf)
Notes sur le problème à N corps:
Outre les ouvrages cités plus haut (bibliographie suggérée), les étudiants peuvent consulter les documents "Functional integrals" et "Renormalization group and critical phenomema" ici. Bien que ces documents dépassent largement le cadre du M2, certaines parties peuvent néanmoins être utilisées en support du cours.
Travaux dirigés:
Formulaires: Intégration Gaussienne (pdf)
Fonctions réponse et fonctions de corrélation (pdf)
Transformées de Fourier (pdf)
TD 1: Quantification de la chaîne harmonique (pdf)
TD 2: Intégrale fonctionnelle pour un gaz quantique sans interaction (pdf)
TD 3: Théorie phi⁴ avec symétrie O(N) (pdf)
TD 4: Théorie de Bogoliubov de la superfluidité (pdf)
TD 5: Théorie BCS de la supraconductivité (pdf)
TD 6: Transition superfluide--isolant-de-Mott dans un gaz de bosons (pdf) |
