期刊論文
| 學年 | 89 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2000-08-01 |
| 作品名稱 | Phase transitions and exact ground-state properties of the one-dimensional Hubbard model in a magnetic field |
| 作品名稱（其他語言） | |
| 著者 | Yang, C.; Kocharian, A.N.; Chiang, Y.L. |
| 單位 | 淡江大學物理學系 |
| 出版者 | Temple Way: Institute of Physics (IOP) |
| 著錄名稱、卷期、頁數 | Journal of Physics Condensed Matter 12(33), pp.7433-7454 |
| 摘要 | The exact phase diagrams of the one-dimensional Hubbard model, both attractive and repulsive, in the presence of an arbitrary magnetic field h for various electron concentrations n and on-site interaction strengths U < 0 or U > 0 are calculated and investigated. The exact ground-state properties, namely, the ground-state energy, the average spin (magnetization), the concentration of the doubly occupied sites, the kinetic energy, the chemical potential, the spin (magnetic) susceptibility and the charge compressibility, are calculated and examined over a wide range of interaction strengths U for various h and n. It is found that the spin susceptibility at half- filling is non-analytic and changes discontinuously asU → 0. The exact theory shows the absence of a charge energy gap in the U 0 region for all n and provides, for the chemical potential, the rigorous upper and lower bounds for half-filled and empty bands respectively. The analytical results derived for the weak-coupling limit and asymptotic expansions for strong coupling are in full agreement with the numerical calculations. |
| 關鍵字 | Electrodynamics;Energy gap;Ground state;Kinetic energy;Magnetic susceptibility;Magnetization;Mathematical models;Phase diagrams;Phase transitions;Charge energy gap;Chemical potential;Exact ground state properties;Ground state energy;One dimensional Hubbard model;Magnetic field effects |
| 語言 | en |
| ISSN | 0953-8984 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | NO |
| 審稿制度 | |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27612 ) |