多层纳米结构中的输运 动力学平均场方法=TRANAPORT IN MULTILAYERED NANOSTRUCTURES:THE DYNAMICAL MEAN-FIELD THEORY APPROA2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

多层纳米结构中的输运 动力学平均场方法=TRANAPORT IN MULTILAYERED NANOSTRUCTURES:THE DYNAMICAL MEAN-FIELD THEORY APPROAPDF格式电子书版下载

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1．Introduction to Multilayered Nanostructures1

1.1 Thin Film Growth and Multilayered Nanostructures2

1.2 Strongly Correlated Materials14

1.3 The Proximity Effect17

1.4 Electronic Charge Reconstruction at an Interface20

1.5 Roadmap to Real-Materials Calculations27

2．Dynamical Mean-Field Theory in the Bulk31

2.1 Models of Strongly Correlated Electrons31

2.2 Second Quantization39

2.3 Imaginary Time Green's Functions46

2.4 Real Time Green's Functions53

2.5 The Limit d→∞and the Mapping onto a Time-Dependent Impurity Problem61

2.6 Impurity Problem Solvers67

2.7 Computational Algorithms77

2.8 Linear-Response dc-Transport in the Bulk80

2.9 Metal-Insulator Transitions within DMFT92

2.10 Bulk Charge and Thermal Transport99

3．Dynamical Mean-Field Theory of a Multilayered Nanostructure113

3.1 Potthoff-Nolting Approach to Multilayered Nanostructures113

3.2 Quantum Zipper Algorithm （Renormalized Perturbation Expansion）116

3.3 Computational Methods119

3.4 Density of States for a Nanostructure122

3.5 Longitudinal Charge Transport Through a Nanostructure129

3.6 Charge Reconstruction（Schottky Barriers）140

3.7 Longitudinal Heat Transport Through a Nanostructure152

3.8 Superconducting Leads and Josephson Junctions172

3.9 Finite Dimensions and Vertex Corrections193

4．Thouless Energy and Normal-State Transport197

4.1 Heuristic Derivation of the Generalized Thouless Energy197

4.2 Thouless Energy in Metals199

4.3 Thouless Energy in Insulators206

4.4 Crossover from Tunneling to Incoherent Transport in Devices209

5．Josephson Junctions and Superconducting Transport215

5.1 Introduction to Superconducting Electronics Devices215

5.2 Superconducting Proximity Effect219

5.3 Josephson Current224

5.4 Figure-of-Merit for a Josephson Junction230

5.5 Effects of Temperature234

5.6 Density of States and Andreev Bound States238

6．Thermal Transport249

6.1 Electronic Charge Reconstruction Near a Metal-Insulator Transition249

6.2 Thermal Transport Through a Barrier Near the Metal-Insulator Transition253

7．Future Directions261

7.1 Spintronics Devices261

7.2 Multiband Models for Real Materials265

7.3 Nonequilibrium Properties268

7.4 Summary270

Appendix A Problems271

A.1 Jellium model271

A.2 Density of states for the hypercubic lattice in 1,2,3,and ∞ dimensions272

A.3 Noninteracting electron in a time-dependent potential273

A.4 Relation between imaginary-time summations and real-axis integrals274

A.5 The Green's functions of a local Fermi liquid276

A.6 Rigid-band approximation to the Falicov-Kimball model276

A.7 Comparing the spectral formula to the Hilbert transform278

A.8 Imaginary-time Green's functions278

A.9 Partition function for a spinless electron in a general time-dependent field279

A.10 Mapping the impurity in a field to an impurity coupled to a chain in the NRG approach279

A.11 Impurity Green's function for the chain Hamiltonian in the NRG approach281

A.12 Solving the NRG many-body Hamiltonian for the chain282

A.13 Metal-insulator transition in the half-filled Falicov-Kimball model283

A.14 Kramers-Kronig analysis for the Green's function,and the effect of the pole in the Mott insulator283

A.15 Metal-insulator transition on a simple cubic lattice284

A.16 DC conductivity for the simple cubic lattice287

A.17 Jonson-Mahan theorem288

A.18 Charge and thermal conductivity for the Falicov-Kimball model290

A.19 The particle-hole asymmetric metal-insulator transition291

A.20 Non Fermi-liquid behavior of the Falicov-Kimball model291

A.21 Thermopower of the Falicov-Kimball model and the figure-of-merit292

A.22 U→∞ Green's functions292

A.23 Determining Gαβ from the quantum zipper algorithm293

A.24 The stability of the left and right recursion relations of the quantum zipper algorithm294

A.25 Efficient numerical evaluation of integrals via changes of variables294

A.26 Equilibrium solutions with charge reconstruction296

A.27 Local charge and heat current operators for a nanostructure297

A.28 Operator identity for the Jonson-Mahan theorem299

A.29 BCS gap equation299

A.30 Equations of motion needed for the Nambu-Gor'kov formalism300

A.31 Spin one-half atom in a time-dependent normal and anomalous dynamical mean field300

A.32 Hilbert transformation in the Nambu-Gor'kov formalism301

A.33 Evaluating Hilbert transformation-like integrals needed for determining the bulk critical current on a simple-cubic lattice302

A.34 The single-plane Mott-insulating barrier304

A.35 Green's functions of the particle-hole symmetric Falicov-Kimball model nanostructure305

A.36 Parallel implementation for the resistance calculation of a nanostructure306

A.37 Resistance and Thouless energy of a nanostructure306

Bibliography309

Index323