Published January 1, 2022
| Version v1
Journal article
Open
Lower critical dimension of the random-field XY model and the zero-temperature critical line
Creators
Description
The random-field XY model is studied in spatial dimensions d = 3 and 4, and in between, as the limit q -> infinity of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the Migdal-Kadanoff approximation to the hypercubic lattices. The lower critical dimension is determined between 3.81 < d(c) < 4. When the random field is scaled with q, a line segment of zero-temperature criticality is found in d = 3. When the random field is scaled with q(2), a universal phase diagram is found at intermediate temperatures in d = 3.
Files
bib-63949ce7-773e-485e-8283-b2f9188fcfde.txt
Files
(150 Bytes)
| Name | Size | Download all |
|---|---|---|
|
md5:ddda27f7f650519cc7cb7f66b04e666b
|
150 Bytes | Preview Download |