| Issue |
EPL
Volume 86, Number 1, April 2009
|
|
|---|---|---|
| Article Number | 10003 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/10003 | |
| Published online | 16 April 2009 | |
Topological glass states
1
Department of Physics, Hong Kong University of Science and Technology - Clear Water Bay Road, Kowloon, Hong Kong
2
Department of Physics, University of Hong Kong - Pok Fu Lam Road, Hong Kong
3
Department of Physics, Hong Kong Baptist University - Kowloon Tong, Kowloon, Hong Kong
Received:
13
January
2009
Accepted:
9
March
2009
In connection with the recent discussion of topological order and topological phase transitions in quantum systems, we reexamine the circumstances that lead to the appearance of a topological glass in certain classical lattice spin models. Local bonding enforces constraints on low-energy states that organize themselves into topologically distinct classes that break ergodicity but not any apparent symmetry as in the usual Landau theory of phase transitions. Various properties of such a topological glass are demonstrated using two classical Ising-like models.
PACS: 03.65.Vf – Quantum mechanics: Phases: geometric; dynamic or topological / 05.20.-y – Classical statistical mechanics / 61.43.Fs – Glasses
© EPLA, 2009
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