Thermodynamic Properties of the Anderson Model with Correlated Hybridization
碩士 === 國立臺灣大學 === 物理研究所 === 102 === After the discovery of the Kondo effect by De Haas in the 1930’s lots of theoretical and numerical methods were developed. For example Numerical Renormalization Group method. This method is a noteworthy development as unlike other techniques it does not breakdown...
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ndltd-TW-102NTU051980062016-03-09T04:24:02Z http://ndltd.ncl.edu.tw/handle/01299535368848141792 Thermodynamic Properties of the Anderson Model with Correlated Hybridization 耦合強度與居量相關聯之安德森模型的熱力學特性分析 Chung-han Wang 王鐘漢 碩士 國立臺灣大學 物理研究所 102 After the discovery of the Kondo effect by De Haas in the 1930’s lots of theoretical and numerical methods were developed. For example Numerical Renormalization Group method. This method is a noteworthy development as unlike other techniques it does not breakdown when applied to low energy scale calculations. This thesis will begin with a brief introduction to the Kondo effect. After this brief summary, chapter 2 will introduce what the Numerical Renormalization Group method is. There are numerous rare-earth metallic compounds with atomic have f orbitals and the wide s-d band coexist at the Fermi level. These have a variety of unique thermal and magnetic properties. These rare-earth metallic compounds can be described by the Anderson Model, so I try to use the Numerical Renormalization Group method to calculate the properties of the La(1-x)Ce(x)Al(2).system in chapter 3 To understand the behavior of the impurity and the influence of different hybridization strengths and impurity energy with regards to the Kondo effect, the Numerical Renormalization Group method will be used to calculate the thermal dynamics of the Anderson model like entropy and specific heat in chapter 4. At chapter 4 we sets the hybridization strength to be a constant. In chapter 5 we use the Correlated Hybridization Anderson model to consider the effects on the system of changing the hybrization strength to now be depended on impurity occupation number. Any changes to the system are then assessed Guang-Yu Guo 郭光宇 2013 學位論文 ; thesis 55 zh-TW |
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碩士 === 國立臺灣大學 === 物理研究所 === 102 === After the discovery of the Kondo effect by De Haas in the 1930’s lots of theoretical and numerical methods were developed. For example Numerical Renormalization Group method. This method is a noteworthy development as unlike other techniques it does not breakdown when applied to low energy scale calculations.
This thesis will begin with a brief introduction to the Kondo effect. After this brief summary, chapter 2 will introduce what the Numerical Renormalization Group method is.
There are numerous rare-earth metallic compounds with atomic have f orbitals and the wide s-d band coexist at the Fermi level. These have a variety of unique thermal and magnetic properties. These rare-earth metallic compounds can be described by the Anderson Model, so I try to use the Numerical Renormalization Group method to calculate the properties of the La(1-x)Ce(x)Al(2).system in chapter 3
To understand the behavior of the impurity and the influence of different hybridization strengths and impurity energy with regards to the Kondo effect, the Numerical Renormalization Group method will be used to calculate the thermal dynamics of the Anderson model like entropy and specific heat in chapter 4.
At chapter 4 we sets the hybridization strength to be a constant. In chapter 5 we use the Correlated Hybridization Anderson model to consider the effects on the system of changing the hybrization strength to now be depended on impurity occupation number. Any changes to the system are then assessed
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author2 |
Guang-Yu Guo |
author_facet |
Guang-Yu Guo Chung-han Wang 王鐘漢 |
author |
Chung-han Wang 王鐘漢 |
spellingShingle |
Chung-han Wang 王鐘漢 Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
author_sort |
Chung-han Wang |
title |
Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
title_short |
Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
title_full |
Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
title_fullStr |
Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
title_full_unstemmed |
Thermodynamic Properties of the Anderson Model with Correlated Hybridization |
title_sort |
thermodynamic properties of the anderson model with correlated hybridization |
publishDate |
2013 |
url |
http://ndltd.ncl.edu.tw/handle/01299535368848141792 |
work_keys_str_mv |
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