✦ LIBER ✦
Free Energy of the Three-Dimensional Spin-12 Quantum Heisenberg Model to O[T6]
✍ Scribed by Chih-chun Chang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 87 KB
- Volume
- 293
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
By applying the Friedberg-Lee-Ren's theorem (Ann. Phys. (N.Y.) 228, 52 (1993)) to the spin-1 2 three-dimensional isotropic quantum Heisenberg system, we obtain the low-temperature expansion of the free energy through a field theoretical calculation done in the equivalent lattice boson system. We reproduced Dyson's result and also extended it from T 5 to T 6 . Nevertheless, because of the peculiar property of the spin operator being neither bosonic nor fermionic, the extension is not easy to obtain by other method.