| Автор | X F Jiang |
| Автор | H Chen |
| Автор | D Y Xing |
| Автор | J M Dong |
| Дата выпуска | 2001-07-30 |
| dc.description | We present a self-consistent quantum-theoretical analysis of the ground-state energy and low-energy excitation spectrum of a dimerized and frustrated Heisenberg chain by the bosonization representation in the continuum-limit approach. The frustration effects on the ground-state energy and energy gap are investigated for α>α<sub>c</sub> where α is the frustration parameter and α<sub>c</sub> is its critical value, above which a frustration-induced energy gap is opened. It is shown that as α increases, the ground-state energy decreases and the energy gap increases. We find that the dimerization dependence of the ground-state energy and energy gap for small dimerization obeys the Cross-Fisher power law only at α = α<sub>c</sub>, but departs significantly from it when α>α<sub>c</sub>. The present results are in good agreement with numerical analyses from the density-matrix renormalization-group and exact diagonalization methods. The relevance of our calculated results to recent experiments on the spin-Peierls compounds CuGeO<sub>3</sub> is also discussed. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Analytical approach to dimerized and frustrated Heisenberg chains |
| Тип | paper |
| DOI | 10.1088/0953-8984/13/30/307 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 13 |
| Первая страница | 6519 |
| Последняя страница | 6528 |
| Выпуск | 30 |
