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104 CHAPTER 4. HONEYCOMB LATTICE M=() 0.5 0.3 0.15 2-leg ladder 2D lattice 0 0 5 10 Nanotube Diameter ∞ Figure 4.12: Spin-spin correlations at half-filling obtained by VMC in our best variational wavefunction. The values were extrapolated to the thermodynamic limit of the nanotubes. The value obtained for the 2D honeycomb lattice is also shown.
4.5. VARIATIONAL MONTE-CARLO APPLIED TO THE CARBON NANOTUBES105 1.5 2D (d xy +id x2-y2 ) φ 1 ,φ 2 1 0.5 2-leg ladder (d-wave) φ 1 φ 2 0 0 5 10 ∞ Nanotube Diameter 1 2-leg ladder ∆ max /∆ max ( m,n ) (1,1 ) 0.5 2D lattice 0 0 5 10 Nanotube Diameter ∞ Figure 4.13: Maximum pairing amplitude (bottom figure) obtained in the projected variational wavefunction and phases of the pairing φ 1 ,φ 2 for the different nanotubes (top figure). The symmetry of the pairing is d x 2 −y 2 + id xy like in the two dimension limit and d-wave like in the limit of the 2-leg ladder. The dashed lines are guide to the eyes.
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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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26 CHAPTER 1. INTRODUCTION This can
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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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36 CHAPTER 2. NUMERICAL METHODS pai
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38 CHAPTER 2. NUMERICAL METHODS Whe
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40 CHAPTER 2. NUMERICAL METHODS var
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46 CHAPTER 2. NUMERICAL METHODS kno
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48 CHAPTER 2. NUMERICAL METHODS wit
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52 CHAPTER 3. T-J MODEL ON THE TRIA
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154 CHAPTER 6. ORBITAL CURRENTS IN
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176 CHAPTER 7. CONCLUSION is the st
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178 CHAPTER 7. CONCLUSION although
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180 BIBLIOGRAPHY [17] E. Dagotto. R
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182 BIBLIOGRAPHY [59] F. F. Assad.
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184 BIBLIOGRAPHY [98] M. Posternak,
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186 BIBLIOGRAPHY [136] B. Fauqué,
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188 BIBLIOGRAPHY
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190 APPENDIX A. DETERMINANTS AND PF
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192 APPENDIX B. A PAIR OF PARTICLES
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Education • Reviewer activity at
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2. Model of strongly correlated ele
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List of publications 1. Ising Trans
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Schools, workshops and conferences
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