Hierarchical freezing in a lattice model

Details Hierarchical freezing in a lattice model Hierarchical freezing in a lattice model

2011-10-29

arxiv.org/abs/1110.6542v2

Physical Review Letters 108, 045701 (2012)

Physics

Condensed Matter

Statistical Mechanics

6 pages; 5 figures (minor changes, reformatted)

Scientific paper

10.1103/PhysRevLett.108.045701

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 glass-like state due to kinetic barriers created by simultaneous freezing on sublattices with different lattice constants.

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