CONTENTS -- Preface -- Organizing Committees -- Dynamical Mean-Field Theory for Correlated Lattice Fermions K. Byczuk -- 1. Introduction -- 2. Correlation and correlated electron systems -- 2.1. Correlations -- 2.2. Weakly correlated many-particle systems -- 2.3. Strongly correlated many-particle systems -- 2.4. Correlated fermions and inhomogeneous potentials -- 3. Disorder and disordered electron systems -- 4. Models for correlated, disordered lattice fermions with inhomogeneous potentials -- 4.1. Hubbard model -- 4.2. Models for external inhomogeneous potential -- 4.3. Anderson model -- 4.4. Models for disorders -- 4.5. Anderson-Hubbard model -- 4.6. Anderson-Falicov-Kimball model -- 5. Average over disorder -- 5.1. Average and most probable value -- 5.2. Generalized mean -- 6. Static mean-field theory -- 6.1. Exchange Hamiltonian -- 6.2. Static mean-field approximation -- 6.3. Large dimensional limit -- 7. The Holy Grail for lattice fermions or bosons -- 8. DMFT - practical and quick formulation -- 8.1. Exact partition function, Green function, and self-energy -- 8.2. DMFT approximation -- 8.3. Local Green function -- 8.4. Local approximation to Dyson equation -- 8.5. Dynamical mean-field function -- 8.6. Self-consistency conditions -- 9. Limit of large coordination number -- 10. Surprising results from DMFT -- 10.1. Metal-insulator transition at fractional filling -- 10.2. Disorder-induced enhancement of the Curie temperature -- 10.3. Continuously connected insulating phases in strongly correlated systems with disorder -- 11. Conclusions -- Acknowledgments -- References -- Jordan-Wigner Fermionization and the Theory of Low-Dimensional Quantum Spin Models. Dynamic Properties O. Derzhko -- 1. Introduction (Spin models, dynamic probes etc.) -- 2. The Jordan-Wigner transformation -- 3. Generalization of the Jordan-Wigner transformation.

4. Spin-1/2 isotropic XY chain in a transverse field: dynamic quantities -- 4.1. Two-fermion excitations -- 4.2. Four-fermion excitations -- 4.3. Many-fermion excitations -- 5. Dimerized spin-1/2 isotropic XY chain in a transverse field -- 6. Spin-1/2 XY chains with the Dzyaloshinskii-Moriya interaction -- 7. Square-lattice spin-1/2 isotropic XY model -- 8. Conclusions -- Acknowledgments -- References -- Quantum Computing with Electrical Circuits: Hamiltonian Construction for Basic Qubit-Resonator Models M.R. Geller -- 1. Quantum gate design -- 2. The phase qubit -- 3. Qubit-oscillator models -- 3.1. JJ coupled to parallel LC oscillator -- 3.2. JJ coupled to series LC oscillator -- 3.3. Relation to capacitively coupled qubits -- 4. Qubit coupled to electromagnetic resonator -- 4.1. Summary of results and mapping to qubit-oscillator -- 4.2. Continuum resonator model -- 4.3. LC network resonator model -- 4.4. Relation between node-ux and polarization representations -- Acknowledgments -- References -- Coherent Control and Decoherence of Charge States in Quantum Dots P. Machnikowski -- 1. Introduction -- 2. Essential properties of quantum dots -- 3. Coherent control: experimental state of the art -- 4. Quantum dot as a two-level system -- 4.1. General considerations -- 4.2. Pulse area dependent Rabi oscillations -- 4.3. Time-domain interference -- 5. Beyond the two levels: optically driven evolution in a biexciton system -- 5.1. Two-photon Rabi oscillations -- 5.2. Quantum complementarity in time-domain interference experiments -- 6. Carrier-phonon interaction in quantum dots -- 7. Theoretical methods for carrier-phonon kinetics -- 7.1. Exact solution for ultrafast excitations -- 7.2. Perturbation theory for driven systems -- 7.3. Correlation expansion -- 8. Conclusion -- References.

Basics of Spintronics: From Metallic to All-Semiconductor Magnetic Tunnel Junctions J.A. Majewski -- 1. Introduction -- 1.1. Spintronics and magnetoelectronics -- 1.2. Magnetic tunnel junctions -- 2. TMR in FM/I/FM magnetic tunnel junctions -- 2.1. Dependence of TMR on external bias -- 2.2. Dependence of TMR on ferromagnet -- 2.3. Dependence of TMR on the barrier -- 2.4. Inuence of interfaces on TMR -- 2.5. Various TMR structures -- 3. Theory of TMR in FM/I/FM tunnel junctions -- 3.1. Free electron models -- 3.2. Physical insight gained by free electron models -- 3.3. Green's function tight-binding models -- 3.4. First-principles calculations -- 3.5. Models for disordered structures -- 4. Tunneling magnetoresistance in junctions based on ferromagnetic semiconductors -- 4.1. Free carrier models of FS/S/FS tunnel junctions -- 4.2. Full band model for all-semiconductor MTJs -- 4.3. Bias dependence of TMR in FS/S/FS TMJs -- 5. Conclusions -- Acknowledgments -- References -- Physics of Carbon Nanostructures V.A. Osipov -- 1. Introduction -- 2. Defects, geometry, electronic structure -- 3. Continuum field-theory model -- 4. Carbon nanostructures of different geometries -- 4.1. Nanocones -- 4.2. One-sheet hyperboloids -- 4.3. Nanotubes -- 4.4. Icosahedral fullerenes -- 4.5. Spheroidal fullerenes -- 5. Conclusions -- Acknowledgments -- References -- Quantum Molecular Dynamics Simulations for Warm Dense Matter and Applications in Astrophysics R. Redmer, N. Nettelmann, B. Holst, A. Kietzmann and M. French -- 1. Introduction -- 2. Quantum molecular dynamics simulations -- 2.1. Description of the method -- 2.2. Equation of state -- 2.3. Dynamic conductivity -- 3. Planetary models and EOS of WDM -- 3.1. General structure of giant planets -- 3.2. Numerical modelling of giant planets -- 4. Results for Jupiter -- 5. Conclusions -- Acknowledgments -- References.

Correlated Systems on Geometrically Frustrated Lattices: From Magnons to Electrons J. Richter and O. Derzhko -- 1. Introduction -- 2. Localized magnon states in antiferromagnets on frustrated lattices -- 2.1. Flat bands and localized eigenstates -- 2.2. Exotic magnetization curves -- 2.3. Field-induced spin-Peierls transition -- 2.4. Finite ground-state residual entropy -- 2.5. Universal low-temperature thermodynamics -- 2.6. Finite-temperature phase transitions -- 2.7. Magnetic cooling -- 3. Correlated Hubbard electrons on geometrically frustrated lattices -- 4. Summary -- Acknowledgments -- References -- Full-Potential Local-Orbital Approach to the Electronic Structure of Solids and Molecules M. Richter, K. Koepernik and H. Eschrig -- 1. Introduction -- 2. Why yet another DFT solver? -- 3. LCLO equations and core-valence transformation -- 4. Three strategies to define the local basis -- 5. Summary -- Acknowledgments -- References -- Theory of Dynamical Thermal Transport Coefficients in Correlated Condensed Matter B. Sriram Shastry -- 1. Introduction -- 2. Hall constant -- 3. Thermoelectric response -- 3.1. Luttinger's gravitational field analogy -- 3.2. Finite thermal response functions -- 3.3. Onsager reciprocity at finite frequencies -- 3.4. General formulas for Lij(!) -- 3.5. High frequency behaviour -- 3.6. Sum rules for electrical and thermal conductivity -- 3.7. Dispersion relations for thermopower, Lorentz number and gure of merit -- 4. Thermoelectric phenomena in correlated matter -- 4.1. Limiting case of free electrons, S the Heikes Mott and Mott results -- 4.2. Kelvin's thermodynamical formula for thermopower -- 4.3. Applications to sodium cobaltates in the Curie Weiss metallic phase -- 4.4. High temperature expansion for thermopower -- 4.5. Lorentz number and gure of merit for the triangular lattice t - J model -- Acknowledgement.

References -- Carrier Concentration Induced Ferromagnetism in Semiconductors T. Story -- 1. Introduction: ferromagnetic semiconductors - materials review -- 2. Diluted magnetic (semimagnetic) semiconductors (DMS) - crystal structure, magnetic doping, and basic physical concepts -- 3. Carrier concentration induced ferromagnetism in IV-VI DMS: p-(Sn,Mn)Te, p-(Pb,Sn,Mn)Te, and p-(Ge,Mn)Te -- 4. Magnetic phase diagram of DMS materials governed by the RKKY interaction -- 5. Ferromagnetism in III-V DMS induced by conducting holes: p-(Ga,Mn)As, p-(In,Mn)As, and p-(In,Mn)Sb -- 6. Antiferromagnet-ferromagnet transition in n-(Eu,Gd)Te induced by conducting electrons -- 7. Summary - search for new ferromagnetic semiconductors for spintronics -- References -- Acknowledgments -- References -- Index.