| Cover | 1 |
|---|
| Half Title | 2 |
|---|
| Title Page | 4 |
|---|
| Copyright Page | 5 |
|---|
| Table of Contents | 8 |
|---|
| Preface | 10 |
|---|
| Curriculum vitae | 13 |
|---|
| Personal recollections | 19 |
|---|
| Daniela Giuliani | 20 |
| Adriana Giuliani | 21 |
| Giuseppe Giuliani | 23 |
| Memories of Gabriele | 24 |
| Scientific contributions | 26 |
|---|
| Introduction to electronic and optical properties of two-dimensional molybdenum disulfide systems | 27 |
| 1. introduction | 27 |
| 2. Theory and method | 30 |
| 2.1. Electronic band structure and low-energy Hamiltonian | 30 |
| 2.2. Plasmons in MoS2 | 38 |
| 2.3. Ground-state energy and quantum magnetic phase transition in MoS2 | 38 |
| 2.4. Optical properties | 43 |
| 2.5. Intrinsic dc-conductivity | 46 |
| 2.6. Intrinsic dynamical conductivity | 47 |
| 2.7. Circular dichroism and optical transmittance | 50 |
| 3. Summary | 52 |
| References | 53 |
| Friedel oscillations in a lateral superlattice with spin-orbit interaction | 58 |
| 1. Introduction | 58 |
| 2. System Description | 60 |
| 3. The density response function | 63 |
| 4. Friedel oscillations | 67 |
| 5. Results and Discussion | 68 |
| References | 72 |
| In-plane ferromagnetic instability in a two-dimensional electron liquid in the presence of Rashba spin-orbit coupling | 74 |
| The crescent moon instability | 77 |
| References | 83 |
| Josephson phase diffusion in small Josephson junctions: a strongly nonlinear regime | 85 |
| 1. Introduction | 85 |
| 2. The dynamics of the Josephson phase in the resistive state: the Josephson phase diffusion regime | 87 |
| 3.Time-dependent correlation function of the Josephson phase | 88 |
| 4. The I -V curves of small Josephson junctions: phase-diffusion regime | 89 |
| 5. Discussion and Conclusions | 90 |
| References | 91 |
| Spin-dependent magnetic focusing | 93 |
| 1. Introduction | 93 |
| 2. Experiment | 94 |
| 3. Theory | 96 |
| 4. Semiclassical theory of focusing | 97 |
| 5. Focusing peaks in in-plane magnetic field | 99 |
| 6. Conclusion | 103 |
| References | 104 |
| Charge density wave surface phase slips and non-contact nanofriction | 106 |
| 1. How it all began: Gabriele Giuliani and CDWin the 70’ | 106 |
| 2. Introduction | 108 |
| 3. The Ginzburg-Landau model | 110 |
| 4. Equilibrium and time-dependent GL simulations | 112 |
| 5. Discussion and conclusions | 115 |
| References | 116 |
| The quasiparticle lifetime in a doped graphene sheet | 118 |
| 1. Introduction | 118 |
| 2. Coulomb-enabled two-body decay rates in a doped graphene sheet | 122 |
| 2.1. Intra-band contribution | 124 |
| 2.2. Inter-band contribution | 126 |
| 2.3. Intra-band scattering and the collinear scattering singularity | 127 |
| 2.4. Asymptotic behavior of the decay rate for weakly-excited states | 127 |
| 3. Summary and conclusions | 132 |
| References | 132 |
| Chirality, charge and spin-density wave instabilities of a two-dimensional electron gas in the presence of Rashba spin-orbit coupling | 136 |
| 1. Introduction | 136 |
| 2. Two dimensional electron gas in the presence of Rashba spin-orbit | 137 |
| 3. Hartree-Fock theory of a two-dimensional electron liquid in the presence of Rashba spin-orbit coupling | 139 |
| 4. Proof of the instability theorem | 140 |
| 4.1. Instability for the case of chirality equal one | 141 |
| 4.2. Instability for the case of chirality less than one | 148 |
| 5. Conclusions | 152 |
| A. Appendix | 153 |
| A.1. Elliptic integral expansion | 153 |
| B. Evaluation of useful quadratures | 154 |
| References | 156 |
| A brief overview of Giuliani’s contribution to many-body aspects of the electron gas | 158 |
| References | 160 |
| Gabriele’s scientific highlights | 162 |
|---|
