Hierarchical freezing in a lattice model.
Publication
, Journal Article
Byington, TW; Socolar, JES
Published in: Physical review letters
January 2012
A certain two-dimensional lattice model with nearest and next-nearest neighbor interactions is known to have a limit-periodic ground state. We show that during a slow quench from the high temperature, disordered phase, the ground state emerges through an infinite sequence of phase transitions. We define appropriate order parameters and show that the transitions are related by renormalizations of the temperature scale. As the temperature is decreased, sublattices with increasingly large lattice constants become ordered. A rapid quench results in a glasslike state due to kinetic barriers created by simultaneous freezing on sublattices with different lattice constants.
Duke Scholars
Published In
Physical review letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
January 2012
Volume
108
Issue
4
Start / End Page
045701
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Byington, T. W., & Socolar, J. E. S. (2012). Hierarchical freezing in a lattice model. Physical Review Letters, 108(4), 045701. https://doi.org/10.1103/physrevlett.108.045701
Byington, Travis W., and Joshua E. S. Socolar. “Hierarchical freezing in a lattice model.” Physical Review Letters 108, no. 4 (January 2012): 045701. https://doi.org/10.1103/physrevlett.108.045701.
Byington TW, Socolar JES. Hierarchical freezing in a lattice model. Physical review letters. 2012 Jan;108(4):045701.
Byington, Travis W., and Joshua E. S. Socolar. “Hierarchical freezing in a lattice model.” Physical Review Letters, vol. 108, no. 4, Jan. 2012, p. 045701. Epmc, doi:10.1103/physrevlett.108.045701.
Byington TW, Socolar JES. Hierarchical freezing in a lattice model. Physical review letters. 2012 Jan;108(4):045701.
Published In
Physical review letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
January 2012
Volume
108
Issue
4
Start / End Page
045701
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences