| Introduction | p. 1 |
| Compounds of the ReOFeAs Type | p. 5 |
| Crystallochemistry and Basic Physical Properties of Doped Compounds | p. 5 |
| Crystal Structure | p. 5 |
| Electron Doping | p. 5 |
| Hole Doping | p. 8 |
| Substitutions on the Fe Sublattice | p. 9 |
| Superconducting Transition Temperature | p. 11 |
| Critical Fields | p. 13 |
| Effect of Pressure on the Tc | p. 14 |
| Magnetic Properties | p. 18 |
| Magnetic Structure | p. 18 |
| Theoretical Explanation of Long-Range Magnetic Ordering in ReOFeAs | p. 20 |
| Phase Diagrams | p. 24 |
| Magnetic Fluctuations | p. 27 |
| Electronic Structure | p. 28 |
| Stoichiometric Compounds | p. 28 |
| The Role of Magnetic Ordering and Doping | p. 34 |
| Experimental Studies of the Fermi Surface | p. 38 |
| Symmetry of the Superconducting Order Parameter | p. 41 |
| Experimental Methods of Determining the Order Parameter | p. 41 |
| Nuclear Magnetic Resonance | p. 42 |
| Point-Contact Andreev Reflection | p. 46 |
| Tunnel and Photoemission Spectroscopies (STS, PES, ARPES) | p. 53 |
| Compounds of the AFe2As2 (A = Ba,Sr,Ca) Type | p. 57 |
| Crystal and Electronic Structure | p. 57 |
| Crystal Structure | p. 57 |
| LDA Calculations of the Electronic Structure | p. 58 |
| Experimental Studies of the Fermi Surface | p. 63 |
| (Sr3Sc2O5)Fe2As2 and Other Similar Compounds | p. 69 |
| Superconductivity | p. 72 |
| Doping | p. 72 |
| Coexistence of Superconductivity and Magnetism | p. 77 |
| Effect of Pressure | p. 79 |
| Symmetry of the Superconducting Order Parameter | p. 88 |
| Measurements on the Josephson Contacts | p. 94 |
| Critical Fields | p. 96 |
| Magnetism | p. 98 |
| Stoichiometric Compounds | p. 98 |
| Doped Compounds | p. 102 |
| Magnetic Excitations | p. 104 |
| Other FeAs-Based Compounds | p. 109 |
| Compounds of the FeSe, FeTe Type | p. 109 |
| Superconducting Properties | p. 109 |
| Unusual Magnetic Properties | p. 112 |
| Electronic Structure of Stoichiometric Compounds | p. 115 |
| Electronic Structure of Doped Compounds | p. 118 |
| Magnetic Structure of FeTe | p. 120 |
| Compounds of the LiFeAs Type | p. 122 |
| Superconductivity | p. 122 |
| Electronic Structure | p. 123 |
| Compounds of the AFFeAs (A = Sr, Ca) Type | p. 126 |
| Primary Experimental Observations | p. 126 |
| Electronic Structure | p. 128 |
| Theory Models | p. 131 |
| General Properties of Compounds from Different Classes of FeAs-Systems and Corresponding Theory Objectives | p. 131 |
| Crystal and Magnetic Structures | p. 131 |
| Peculiarities of the Electronic Structure | p. 134 |
| Asymmetry of the Electron/Hole Doping | p. 136 |
| Problems of Symmetry of the Superconducting Order Parameter | p. 138 |
| Isotopic Effect | p. 140 |
| Role of Electron Correlations | p. 141 |
| Dynamical Mean Field Theory (DMFT) | p. 141 |
| LDA+DMFT Calculation for ReOFeAs Compounds | p. 145 |
| LDA+DMFT Calculation on an Extended Basis | p. 148 |
| Comparison with Experiment | p. 152 |
| A Minimal Two-Orbital Model | p. 158 |
| Formulation of the Model | p. 158 |
| Band Structure of the Spectrum | p. 162 |
| Mean Field Approximation | p. 164 |
| Numerical Calculation for Small Clusters | p. 167 |
| Multi-Orbital Model | p. 170 |
| Formulation of the Model | p. 170 |
| Equations for a Superconductor in the Fluctuation Exchange (FLEX) Approximation | p. 171 |
| Properties of Superconductors with the s± Symmetry of the Order Parameter | p. 174 |
| Three-Orbital Model | p. 178 |
| Detailed Analysis of the 5-Orbital Model | p. 182 |
| The Hamiltonian of the Model | p. 182 |
| Spin and Charge Susceptibility | p. 184 |
| Pairing of Electrons via Spin Fluctuations | p. 187 |
| Possible Symmetries of the Superconducting Order Parameter | p. 190 |
| Limit of Weak Coulomb Interaction | p. 194 |
| Renormalization Group Analysis | p. 194 |
| Equations for Superconducting and Magnetic Order Parameters | p. 202 |
| Phase Diagram of the Model | p. 205 |
| Peculiarities of the s±-Superconducting State | p. 207 |
| The Limit of Strong Coulomb Interaction | p. 210 |
| The t - J1 - J2-Model | p. 210 |
| Superconductivity with Different Order Parameters | p. 212 |
| Density of States and Differential Tunnel Conductivity | p. 215 |
| The Hubbard Model with the Hund's Exchange | p. 217 |
| Magnetic Long-Range Order and Its Fluctuations | p. 221 |
| Two Approaches to the Problem | p. 221 |
| The Itinerant Model | p. 224 |
| The Localized Model: Spin Waves | p. 228 |
| The Resonance Mode | p. 233 |
| Unified Models | p. 240 |
| FeAs-Compounds as Systems with Moderate Electron Correlations | p. 245 |
| Orbital Ordering | p. 247 |
| The Spin-Orbital Model | p. 247 |
| Phase Diagrams with Spin and Orbital Orderings | p. 250 |
| Spectrum of Magnetic Excitations | p. 251 |
| Conclusion | p. 255 |
| References | p. 259 |
| Index | p. 277 |
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