Numerical studies of low-dimensional quantum many-body systems.
Exact solutions of many-body problems hold a very special and significant place in condensed matter physics, helping us to understand the behaviors of interacting particles. In this thesis, we focus our attention on study the exact solutions of two interesting many-body problems in stronglycorrelate...
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| Format: | Theses and Dissertations |
| Language: | English |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/10356/55457 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Exact solutions of many-body problems hold a very special and significant place in condensed matter physics, helping us to understand the behaviors of interacting particles. In this thesis, we focus our attention on study the exact solutions of two interesting many-body problems in stronglycorrelated
systems. One is to calculate the exact correlation functions of
1D chains of spinless fermions and hardcore bosons. The other is to calculate the single-particle dispersion relation of Hubbard model of spinless fermions on 2D square lattices. |
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