《多層納米結構中的輸運:動力學平均場方法(影印版)》從介紹器件、強關聯電子系統、多層納米結構入手，討論了在多層納米結構中的輸運現象，而其貫穿始終的方法是動力學平均場論。具體內容包括利用動力學平均場論來計算電子格林函式、線性回響輸運，約瑟夫森結、熱電器件等中的輸運現象等，最後還討論了非平衡和非線性回響。
基本介紹
- 外文名：Transport in Multilayered Nanostructures:The Dynamical Mean-Field Theory Approach
- 書名：多層納米結構中的輸運:動力學平均場方法
- 作者：弗雷里克斯 (Freericks J. K.)
- 出版社：北京大學出版社
- 頁數：327頁
- 開本：16
- 品牌：北京大學出版社
- 類型：科學與自然
- 出版日期：2012年12月1日
- 語種：簡體中文, 英語
- ISBN：9787301216620, 7301216629
圖書信息,基本介紹,內容簡介,作者簡介,圖書目錄,
圖書信息
作者: 弗雷里克斯
出版社: 北京大學出版社
副標題: —動力學平均場方法
出版年: 2012-12
頁數: 327
定價: 87.00元
ISBN: 9787301216620
基本介紹
內容簡介
《多層納米結構中的輸運:動力學平均場方法(影印版)》可以作為相關領域研究生的教材，也可作為科研工作者的參考書。
作者簡介
作者：（美國）弗雷里克斯（Freericks J.K.）
圖書目錄
Preface
Acknowledgments
1. Introduction to Multilayered Nanostructures
1.1 Thin Film Growth and Multilayered Nanostructures
1.2 Strongly Correlated Materials
1.3 The Proximity Effect
1.4 Electronic Charge Reconstruction at an Interface
1.5 Roadmap to Real-Materials Calculations
2. Dynamical Mean-Field Theory in the Bulk
2.1 Models of Strongly Correlated Electrons
2.2 Second Quantization
2.3 Imaginary Time Green's Functions
2.4 Real Time Green's Functions
2.5 The Limit d →∞ and the Mapping onto a Time-Dependent Impurity Problem
2.6 Impurity Problem Solvers
2.7 Computational Algorithms
2.8 Linear-Response dc-Transport in the Bulk
2.9 Metal-Insulator Transitions within DMFT
2.10 Bulk Charge and Thermal Transport
3. Dynamical Mean-Field Theory of a Multilayered Nanostructure
3.1 Potthoff-Nolting Approach to Multilayered Nanostructures
3.2 Quantum Zipper Algorithm (Renormalized Perturbation Expansion)
3.3 Computational Methods
3.4 Density of States for a Nanostructure
3.5 Longitudinal Charge Transport Through a Nanostructure
3.6 Charge Reconstruction (Schottky Barriers)
3.7 Longitudinal Heat Transport Through a Nanostructure
3.8 Superconducting Leads and Josephson Junctions
3.9 Finite Dimensions and Vertex Corrections
4. Thouless Energy and Normal-State Transport
4.1 Heuristic Derivation of the Generalized Thouless Energy
4.2 Thouless Energy in Metals
4.3 Thouless Energy in Insulators
4.4 Crossover from Tunneling to Incoherent Transport in Devices
5. Josephson Junctions and Superconducting Transport
5.1 Introduction to Superconducting Electronics Devices
5.2 Superconducting Proximity Effect
5.3 Josephson Current
5.4 Figure-of-Merit for a Josephson Junction
5.5 Effects of Temperature
5.6 Density of States and Andreev Bound States
6. Thermal Transport
6.1 Electronic Charge Reconstruction Near a Metal-Insulator Transition
6.2 Thermal Transport Through a Barrier Near the Metal-Insulator Transition
7. Future Directions
7.1 Spintronics Devices
7.2 Multiband Models for Real Materials
7.3 Nonequilibrium Properties
7.4 Summary
Appendix A Problems
A.1 Jellium model
A.2 Density of states for the hypercubic lattice in 1, 2, 3,and ∞ dimensions
A.3 Noninteracting electron in a time-dependent potential
A.4 Relation between imaginary-time summations and real-axis integrals
A.5 The Green's functions of a local Fermi liquid
A.6 Rigid-band approximation to the Falicov-Kimball model
A.7 Comparing the spectral formula to the Hilbert transform
A.8 Imaginary-time Green's functions
A.9 Partition function for a spinless electron in a general time-dependent field
A.10 Mapping the impurity in a field to an impurity coupled to a chain in the NRG approach
A.11 Impurity Green's function for the chain Hamiltonian in the NRG approach
A.12 Solving the NRG many-body Hamiltonian for the chain
A.13 Metal-insulator transition in the half-filled Falicov-Kimball model
A.14 Kramers-Kronig analysis for the Green's function, and the effect of the pole in the Mott insulator
A.15 Metal-insulator transition on a simple cubic lattice
A.16 DC conductivity for the simple cubic lattice
A.17 Jonson-Mahan theorem
A.18 Charge and thermal conductivity for the Falicov- Kimball model
A.19 The particle-hole asymmetric metal-insulator transition
A.20 Non Fermi-liquid behavior of the Falicov-Kimball model
A.21 Thermopower of the Falicov-Kimball model and the figure-of-merit
A.22 U →∞ Green's functions
A.23 Determining Gαβ from the quantum zipper algorithm
A.24 The stability of the left and right recursion relations of the quantum zipper algorithm
A.25 Efficient numerical evaluation of integrals via changes of variables
A.26 Equilibrium solutions with charge reconstruction
A.27 Local charge and heat current operators for a nanostructure
A.28 Operator identity for the Jonson-Mahan theorem
A.29 BCS gap equation
A.30 Equations of motion needed for the Nambu-Gor'kov formalism
A.31 Spin one-half atom in a time-dependent normal and anomalous dynamical mean field
A.32 Hilbert transformation in the Nambu-Gor'kov formalism
A.33 Evaluating Hilbert transformation-like integrals needed for determining the bulk critical current on a simple-cubic lattice
A.34 The single-plane Mott-insulating barrier
A.35 Green's functions of the particle-hole symmetric Falicov-Kimball model nanostructure
A.36 Parallel implementation for the resistance calculation of a nanostructure
A.37 Resistance and Thouless energy of a nanostructure
Bibliography
Index
Acknowledgments
1. Introduction to Multilayered Nanostructures
1.1 Thin Film Growth and Multilayered Nanostructures
1.2 Strongly Correlated Materials
1.3 The Proximity Effect
1.4 Electronic Charge Reconstruction at an Interface
1.5 Roadmap to Real-Materials Calculations
2. Dynamical Mean-Field Theory in the Bulk
2.1 Models of Strongly Correlated Electrons
2.2 Second Quantization
2.3 Imaginary Time Green's Functions
2.4 Real Time Green's Functions
2.5 The Limit d →∞ and the Mapping onto a Time-Dependent Impurity Problem
2.6 Impurity Problem Solvers
2.7 Computational Algorithms
2.8 Linear-Response dc-Transport in the Bulk
2.9 Metal-Insulator Transitions within DMFT
2.10 Bulk Charge and Thermal Transport
3. Dynamical Mean-Field Theory of a Multilayered Nanostructure
3.1 Potthoff-Nolting Approach to Multilayered Nanostructures
3.2 Quantum Zipper Algorithm (Renormalized Perturbation Expansion)
3.3 Computational Methods
3.4 Density of States for a Nanostructure
3.5 Longitudinal Charge Transport Through a Nanostructure
3.6 Charge Reconstruction (Schottky Barriers)
3.7 Longitudinal Heat Transport Through a Nanostructure
3.8 Superconducting Leads and Josephson Junctions
3.9 Finite Dimensions and Vertex Corrections
4. Thouless Energy and Normal-State Transport
4.1 Heuristic Derivation of the Generalized Thouless Energy
4.2 Thouless Energy in Metals
4.3 Thouless Energy in Insulators
4.4 Crossover from Tunneling to Incoherent Transport in Devices
5. Josephson Junctions and Superconducting Transport
5.1 Introduction to Superconducting Electronics Devices
5.2 Superconducting Proximity Effect
5.3 Josephson Current
5.4 Figure-of-Merit for a Josephson Junction
5.5 Effects of Temperature
5.6 Density of States and Andreev Bound States
6. Thermal Transport
6.1 Electronic Charge Reconstruction Near a Metal-Insulator Transition
6.2 Thermal Transport Through a Barrier Near the Metal-Insulator Transition
7. Future Directions
7.1 Spintronics Devices
7.2 Multiband Models for Real Materials
7.3 Nonequilibrium Properties
7.4 Summary
Appendix A Problems
A.1 Jellium model
A.2 Density of states for the hypercubic lattice in 1, 2, 3,and ∞ dimensions
A.3 Noninteracting electron in a time-dependent potential
A.4 Relation between imaginary-time summations and real-axis integrals
A.5 The Green's functions of a local Fermi liquid
A.6 Rigid-band approximation to the Falicov-Kimball model
A.7 Comparing the spectral formula to the Hilbert transform
A.8 Imaginary-time Green's functions
A.9 Partition function for a spinless electron in a general time-dependent field
A.10 Mapping the impurity in a field to an impurity coupled to a chain in the NRG approach
A.11 Impurity Green's function for the chain Hamiltonian in the NRG approach
A.12 Solving the NRG many-body Hamiltonian for the chain
A.13 Metal-insulator transition in the half-filled Falicov-Kimball model
A.14 Kramers-Kronig analysis for the Green's function, and the effect of the pole in the Mott insulator
A.15 Metal-insulator transition on a simple cubic lattice
A.16 DC conductivity for the simple cubic lattice
A.17 Jonson-Mahan theorem
A.18 Charge and thermal conductivity for the Falicov- Kimball model
A.19 The particle-hole asymmetric metal-insulator transition
A.20 Non Fermi-liquid behavior of the Falicov-Kimball model
A.21 Thermopower of the Falicov-Kimball model and the figure-of-merit
A.22 U →∞ Green's functions
A.23 Determining Gαβ from the quantum zipper algorithm
A.24 The stability of the left and right recursion relations of the quantum zipper algorithm
A.25 Efficient numerical evaluation of integrals via changes of variables
A.26 Equilibrium solutions with charge reconstruction
A.27 Local charge and heat current operators for a nanostructure
A.28 Operator identity for the Jonson-Mahan theorem
A.29 BCS gap equation
A.30 Equations of motion needed for the Nambu-Gor'kov formalism
A.31 Spin one-half atom in a time-dependent normal and anomalous dynamical mean field
A.32 Hilbert transformation in the Nambu-Gor'kov formalism
A.33 Evaluating Hilbert transformation-like integrals needed for determining the bulk critical current on a simple-cubic lattice
A.34 The single-plane Mott-insulating barrier
A.35 Green's functions of the particle-hole symmetric Falicov-Kimball model nanostructure
A.36 Parallel implementation for the resistance calculation of a nanostructure
A.37 Resistance and Thouless energy of a nanostructure
Bibliography
Index
