| Автор | B Frank |
| Автор | C Y Cheung |
| Дата выпуска | 1994-05-16 |
| dc.description | It is shown analytically that the critical exponents for the 3D Ising model from a renormalized Hamiltonian treatment, given by Girvin, of the thermal averages appearing in an approximate difference equation formulation, are exactly those of the spherical model ( gamma =2, alpha =-1). These are compared to the values computed by Girvin: gamma approximately=1.78, alpha approximately=0.11, which do not satisfy scaling. It is also noted that the behaviour w( lambda ) approximately=W(1)+O(1- lambda )<sup>1/2</sup> for lambda approximately=1<sup>-</sup> is reproduced by the Chadi-Cohen method of computation of reciprocal lattice sums only if the criterion q<sub>i</sub><sup>2</sup><<1- lambda is met, where q<sub>i</sub> are the smallest special points brought in at the order of approximation considered. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | An analysis of critical exponents from a renormalized Hamiltonian method |
| Тип | paper |
| DOI | 10.1088/0953-8984/6/20/017 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 6 |
| Первая страница | 3781 |
| Последняя страница | 3784 |
| Аффилиация | B Frank; Dept. of Phys., Concordia Univ., Montreal, Que., Canada |
| Аффилиация | C Y Cheung; Dept. of Phys., Concordia Univ., Montreal, Que., Canada |
| Выпуск | 20 |
