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94 CHAPTER 4. HONEYCOMB LATTICE /3 0.25 0.2 0.15 0.1 honeycomb d + / AF honeycomb Gutzwiller square Gutzwiller triangular Gutzwiller 0.05 0 0 5 10 15 Distance r [lattice space] Figure 4.5: Spin-spin correlations of the Gutzwiller projected Fermi sea as a function of distance for different lattices. 0.4 0.3 M AF 0.2 0.1 0 0 0.02 0.04 0.06 0.08 0.1 0.12 Hole doping δ Figure 4.6: The staggered magnetization of our best wavefunction versus doping for the 144 site cluster.
4.4. RESULTS AND DISCUSSION 95 0.04 N=144 S 0.03 0.02 1/8 VMC Honeycomb VMC square Mean field 0.01 0 0 0.1 0.2 0.3 0.4 Hole doping δ Figure 4.7: Superconducting order parameter of our best wavefunction versus doping in the 144 site cluster (filled squares). For the same value of J, we show the slave-boson mean-field results (small open squares) the d-wave superconducting order parameter (open squares) with periodic boundary conditions along e x and anti-periodic conditions along e y in a 100 site cluster. imatively 0.15 t (this rise and the maximal value seem to be independent of the J value) and decreases to zero again. For comparison, the gap is always zero in the square lattice, and in the triangular lattice it is finite at any doping except at half-filling. The range and amplitude of the superconducting phase suggests that only weak superconductivity is observed in the honeycomb lattice (see figure 4.7): the maximal amplitude and the range of existence are four times smaller than the ones of the d–wave pairing in the square lattice. The amplitudes in the triangular lattice are twice as large in the hole doped (t
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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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42 CHAPTER 2. NUMERICAL METHODS The
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144 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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