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Education • Reviewer activity at Physical Review (B,L) since 2005. • 2004: Research work at EPFL as a physicist researcher. Topics: Monte-Carlo simulations of DNA dynamics, DNA collisions with obstacles during gel electrophoresis, DNA disentanglement. Supervisor: Giovanni Dietler (EPFL), Andrzej Stasiak (University of Lausanne). • Degree in Physics at the Swiss Institute of Technology (EPFL), Lausanne, Switzerland. Thesis: Phase Transition driven by Frustration in a 2D classical Heisenberg model. Supervisor: Prof. Frederic Mila. Final grade: 6.0/6.0. Thesis defense: March 2003. • 1997 - 2003: Undergraduate studies at EPFL, Lausanne, Switzerland. Final grade: 5.7/6.0. • 2001: Summer work of three months at Biofluid System (Nyon, Switzerland) as a engineer physicist in the development/research sector of the company. Topic: developing medical devices such as blood transfusing machine and artificial respirators. Teaching experience • June 2006 : Expert for the exam of the lecture : Advanced Quantum Mechanics II of Dr. D. Ivanov, EPFL, Switzerland. • February 2006 : Expert for the exam of the lecture : Advanced Quantum Mechanics I of Dr. D. Ivanov, EPFL, Switzerland. • March 2006 - June 2006: Teacher assistant of Prof. F. Mila for his lecture on Quantum Mechanics I, EPFL, Switzerland. • March 2006 - June 2006: Supervising a 4 th year student for his project in the frame of the lecture of A. Pasquarello Advanced numerical methods in Physics. Topic: Monte Carlo simulations of the classical compass model. • October 2003 - February 2006: Teacher assistant of Prof. A. Baldereschi for his lecture on Fortran programming in Physics to 2 nd – 3 rd year students, EPFL, Switzerland. Grants and awards • Ph.D. fellowship at the Swiss Institute of Technology, October 2003. Ph.D. Lectures • Advance Solid State Physics I & II, October 2002 – June 2003, held by Frederic Mila, Lausanne, Switzerland. • Atomic Optics, May 2003 – June 2003, held by P. Meystre, Lausanne, Switzerland. • High-Tc Superconductivity, March 2005 – April 2005, held by D. Pavuna, Lausanne, Switzerland. • X Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors, October 2005, held by Pr. Thierry Giamarchi, Pr. Walter Metzner, Pr. Bernard Coqblin, Pr. Wolfgang von der Linden.
Computer skills • Computer languages: FORTRAN 77, FORTRAN 95, and some knowledge of C++. • Parallel programming: Good knowledge of MPI. Extensive experience in performing calculations on parallel machines (mizar.epfl.ch, pleiades.epfl.ch). • Techniques: Lanczos diagonalizations, Monte-Carlo for classical spin systems, Variational Quantum Monte-Carlo, Green-Function Monte-Carlo, Auxiliary-field Quantum Monte-Carlo, Monte-Carlo algorithms for polymers. Research interests My current research interests are mainly concerned with strongly-correlated electron systems and frustrated spin models. In parallel, I was also interested by scanning tunneling microscopy experiments. The tools used include both numerical (exact diagonalization, classical and quantum Monte Carlo) and analytical (mean-field, slave boson approximations) techniques. My scientific activity has focused on the following fields (reference numbers relate to the List of publications hereafter): 1. Physics of frustrated classical spin models o o o Phase transition driven by Frustration. In connection with the physical properties of Li 2 VOSiO 4 , we have carried on extensive classical Monte Carlo simulations for the anti-ferromagnetic Heisenberg model with both nearest (J 1 ) and next-nearest (J 2 ) exchange couplings on the square lattice. The long-range magnetic order is known to be destroyed by thermal or quantum fluctuations at finite temperature (Mermin-Wagner theorem). However, it was found that frustration can induce a non-trivial phase transition related at a finite temperature related to a discrete symmetry breaking [1]. Coupling to the lattice. It is also relevant, when comparing with experiments, to study the coupling of the spin degrees of freedom to the lattice. Indeed, the Ising-like phase transition, that appears for J 2 /J 1 >1/2 in the pure spin model, was found to be still present and even strengthened by the spin-lattice coupling, and is accompanied by a lattice deformation from a tetragonal symmetry to an orthorhombic one. Evidences that the universality class of the transition does not change with the inclusion of the spin-lattice coupling was reported. Implications for the prototype for a layered J 1 -J 2 model in the collinear region were discussed [5]. Effect of static disorder. Presently we are studying the effect of static disorder in a frustrated spin model, and presently we found that non trivial interaction between disorder and frustration occurs.
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VARIATIONAL STUDY OF STRONGLY CORRE
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4 Abstract
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6 Version abrégée
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8 Acknowledgments check that our di
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10 Acknowledgments
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12 CONTENTS 3.3.5 Order parameters
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14 CONTENTS
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16 CHAPTER 1. INTRODUCTION c Ba 2+
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18 CHAPTER 1. INTRODUCTION the CuO
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20 CHAPTER 1. INTRODUCTION local Co
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22 CHAPTER 1. INTRODUCTION that the
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24 CHAPTER 1. INTRODUCTION (Haldane
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28 CHAPTER 1. INTRODUCTION A(r) by
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30 CHAPTER 1. INTRODUCTION • In C
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32 CHAPTER 2. NUMERICAL METHODS The
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34 CHAPTER 2. NUMERICAL METHODS Sin
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38 CHAPTER 2. NUMERICAL METHODS Whe
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52 CHAPTER 3. T-J MODEL ON THE TRIA
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Page 190 and 191: 190 APPENDIX A. DETERMINANTS AND PF
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