| Autor: |
T. Yavors'kii |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
|
| Zdroj: |
Condensed Matter Physics, Vol 20, Iss 1, p 13701 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1607-324X |
| DOI: |
10.5488/CMP.20.13701 |
| Popis: |
It is noted that the pair correlation matrix χ of the nearest neighbor Ising model on periodic three-dimensional (d=3) kagome-like lattices of corner-sharing triangles can be calculated partially exactly. Specifically, a macroscopic number 1/3N+1 out of N eigenvalues of χ are degenerate at all temperatures T, and correspond to an eigenspace L_ of χ, independent of T. Degeneracy of the eigenvalues, and L_ are an exact result for a complex d=3 statistical physical model. It is further noted that the eigenvalue degeneracy describing the same L_ is exact at all T in an infinite spin dimensionality m limit of the isotropic m-vector approximation to the Ising models. A peculiar match of the opposite m=1 and m→ ∞ limits can be interpreted that the m→ ∞ considerations are exact for m=1. It is not clear whether the match is coincidental. It is then speculated that the exact eigenvalues degeneracy in L_ in the opposite limits of m can imply their quasi-degeneracy for intermediate 1≤m |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
