Abstract
The concept and character of the local magnetic field distribution P(h), developed in an earlier paper, is extended to higher space and spin dimensions and to several special but spatially periodic systems, disorder being the subject of a future paper. For Ising spins on standard lattices, P(h) is shown to have a shape which is dimension dependent but relatively coordination independent. While in two dimensions (2D) P(h) has a dip at h=0 at Tc, in 3D it is extremely flat near the origin, in 4D it is pseudo-Gaussian, while in all dimensions it is qualitatively similar to a discrete form of the corresponding universal block-spin probability function. Bethe lattices, studied for all spin dimensions, are shown to be quite different. Results are also presented for P(h) and the ground-state degeneracies of some one-dimensional frustrated systems exhibiting high-degeneracy disorder points.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 7355-7367 |
| Number of pages | 13 |
| Journal | Physical Review B |
| Volume | 31 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1985 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Local magnetic field distributions. II. Further results. / Choy, T. C.; Sherrington, David; Thomsen, M.; Thorpe, Michael.
In: Physical Review B, Vol. 31, No. 11, 1985, p. 7355-7367.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Local magnetic field distributions. II. Further results
AU - Choy, T. C.
AU - Sherrington, David
AU - Thomsen, M.
AU - Thorpe, Michael
PY - 1985
Y1 - 1985
N2 - The concept and character of the local magnetic field distribution P(h), developed in an earlier paper, is extended to higher space and spin dimensions and to several special but spatially periodic systems, disorder being the subject of a future paper. For Ising spins on standard lattices, P(h) is shown to have a shape which is dimension dependent but relatively coordination independent. While in two dimensions (2D) P(h) has a dip at h=0 at Tc, in 3D it is extremely flat near the origin, in 4D it is pseudo-Gaussian, while in all dimensions it is qualitatively similar to a discrete form of the corresponding universal block-spin probability function. Bethe lattices, studied for all spin dimensions, are shown to be quite different. Results are also presented for P(h) and the ground-state degeneracies of some one-dimensional frustrated systems exhibiting high-degeneracy disorder points.
AB - The concept and character of the local magnetic field distribution P(h), developed in an earlier paper, is extended to higher space and spin dimensions and to several special but spatially periodic systems, disorder being the subject of a future paper. For Ising spins on standard lattices, P(h) is shown to have a shape which is dimension dependent but relatively coordination independent. While in two dimensions (2D) P(h) has a dip at h=0 at Tc, in 3D it is extremely flat near the origin, in 4D it is pseudo-Gaussian, while in all dimensions it is qualitatively similar to a discrete form of the corresponding universal block-spin probability function. Bethe lattices, studied for all spin dimensions, are shown to be quite different. Results are also presented for P(h) and the ground-state degeneracies of some one-dimensional frustrated systems exhibiting high-degeneracy disorder points.
UR - http://www.scopus.com/inward/record.url?scp=17844405994&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevB.31.7355
DO - 10.1103/PhysRevB.31.7355
M3 - Article
VL - 31
SP - 7355
EP - 7367
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 11
ER -