Hierarchical freezing in a lattice model.

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Byington, TW; Socolar, JES

Published Date

  • January 2012

Published In

Volume / Issue

  • 108 / 4

Start / End Page

  • 045701 -

PubMed ID

  • 22400863

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.108.045701


  • eng