"Hubbard model"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
imported>Pythagoras0 |
||
| 2번째 줄: | 2번째 줄: | ||
* The Hubbard model describes hopping electrons on a lattice | * The Hubbard model describes hopping electrons on a lattice | ||
| − | * 1968 Lieb and | + | * 1968 Lieb and Wu |
** application of Bethe ansatz | ** application of Bethe ansatz | ||
* 1972 Takahasi | * 1972 Takahasi | ||
2013년 6월 28일 (금) 05:08 판
introduction
- The Hubbard model describes hopping electrons on a lattice
- 1968 Lieb and Wu
- application of Bethe ansatz
- 1972 Takahasi
- string hypothesis
- replace the Lieb-Wu equations by simpler ones
- proceeded to drive a set of non-linear integral equations known as thermodynamic Bethe ansatz equations
- algebraic Bethe ansatz for the Hubbard model
Lieb-Wu equations
- describing Eigenstates of the Hubbard Hamiltonian
- Bethe ansatz equation
\[\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u},\,j=1,\cdots, N\] \[\prod_{j=1}^{N}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}=\prod_{m=1,m\neq l}^{M}\frac{\lambda_{l}-\lambda_{m}-2i u}{\lambda_{l}-\lambda_{m}+2i u},\,l=1,\cdots, M\]
string hypothesis
history
encyclopedia
books
articles
- Miki Wadati, Eugenio Olmedilla and Yasuhiro AkutsuLax Pair for the One-Dimensional Hubbard Model, 1986