Quantum Monte Carlo and exact diagonalization study of asymmetric Hubbard model.

Jazyk: Chinese<br />English
Rok vydání: 2006
Předmět:
Druh dokumentu: Bibliografie
Popis: Hui Ka Ming = 非對稱Hubbard模型之量子蒙地卡羅與精準對角化研究 / 許嘉明.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.
Includes bibliographical references (leaves 85-88).
Text in English; abstracts in English and Chinese.
Hui Ka Ming = Fei dui cheng Hubbard mo xing zhi liang zi Mengdi Kaluo yu jing zhun dui jiao hua yan jiu / Xu Jiaming.
Chapter 1 --- Introduction --- p.1
Chapter 2 --- The Asymmetric Hubbard Model And Its Physical Background
Chapter 2.1 --- Physical Motivation of the Study --- p.4
Chapter 2.2 --- Symmetry Properties --- p.5
Chapter 2.2.1 --- Particle-Hole Transformation --- p.5
Chapter 2.2.2 --- U(l) Group --- p.5
Chapter 2.2.3 --- SU(2) Group --- p.6
Chapter 2.3 --- Relations with Other Models --- p.7
Chapter 2.3.1 --- Falicov-Kimball Model --- p.7
Chapter 2.3.2 --- Asymmetric t-J and Heisenberg Model --- p.7
Chapter 2.3.3 --- Anderson and Kondo Model。 --- p.8
Chapter 3 --- Exact Diagonalization and Density Matrix Renormalization Group --- p.11
Chapter 3.1 --- Exact Diagonalization --- p.12
Chapter 3.1.1 --- Second Quantization Representation --- p.13
Chapter 3.1.2 --- Binary Representation Of Quantum States --- p.15
Chapter 3.1.3 --- Two-Table Method --- p.15
Chapter 3.1.4 --- Generation of Matrix Elements --- p.18
Chapter 3.1.5 --- Lanczos Method --- p.20
Chapter 3.1.6 --- Continued Fraction Dynamics At T=0 --- p.22
Chapter 3.2 --- Density Matrix Renormalization Group --- p.23
Chapter 3.2.1 --- Infinite system DMRG --- p.24
Chapter 3.2.2 --- DMRG and Quantum Entanglement --- p.27
Chapter 4 --- Determinant Quantum Monte Carlo And Finite Temperature Green Function --- p.29
Chapter 4.1 --- Introduction --- p.29
Chapter 4.2 --- General Scenario of Fermionic Monte Carol Method --- p.30
Chapter 4.3 --- Review on Monte Carlo Method for Ising Model --- p.31
Chapter 4.3.1 --- Ising Model --- p.31
Chapter 4.3.2 --- Metropolis Algorithm --- p.31
Chapter 4.3.3 --- Measurement --- p.32
Chapter 4.3.4 --- Near The Critical Points --- p.33
Chapter 4.4 --- Determinant Quantum Monte Carlo --- p.33
Chapter 4.4.1 --- Suzuki-Trotter Decomposition --- p.34
Chapter 4.4.2 --- Hubbard-St rant onovich Transformation --- p.34
Chapter 4.5 --- Green Functions in DQMC And Wick's Theorem --- p.37
Chapter 4.5.1 --- Equal-'Time' Green Functions --- p.37
Chapter 4.5.2 --- Unequal-'Time' Green Functions --- p.38
Chapter 4.5.3 --- Wick's Theorem --- p.38
Chapter 4.6 --- Practical Consideration of DQMC --- p.39
Chapter 4.6.1 --- Metropolis for DQMC --- p.39
Chapter 4.6.2 --- Updating the Equal-time Green function --- p.41
Chapter 4.6.3 --- Matrix Multiplication Stabilization --- p.42
Chapter 4.6.4 --- A Survey In Negative Sign Problem --- p.43
Chapter 4.6.5 --- Insight from Feynman --- p.44
Chapter 4.6.6 --- Sign Problem As A NP-hard problem --- p.45
Chapter 4.6.7 --- Personal Account on the Problem --- p.46
Chapter 5 --- Dynamical Mean Field Theory --- p.47
Chapter 5.1 --- Classical Mean Field Theory. --- p.49
Chapter 5.2 --- DMFT as an Impurity Problem --- p.52
Chapter 5.3 --- Scaling of Hopping Integral and Self-consistent Condition --- p.53
Chapter 5.4 --- A QMC Impurity Solver --- p.55
Chapter 5.5 --- Further development of DMFT --- p.56
Chapter 6 --- Results and Discussion --- p.57
Chapter 6.1 --- Physical Observable --- p.57
Chapter 6.2 --- Methodology of the Studies --- p.58
Chapter 6.3 --- Results --- p.59
Chapter 6.4 --- Discussion and Suggestion --- p.83
Chapter A --- DMRG of tight-binding model --- p.89
Chapter B --- Scaling and Density of State of D-dimensional Hubbard Model --- p.94
Databáze: Networked Digital Library of Theses & Dissertations
Externí odkaz: