Classical height models with non-abelian topological order TeX Export

@article{citeulike:6008254, abstract = {I discuss a family of statistical-mechanics models in which (some classes of) elements of a finite group \$G\$ occupy the (directed) edges of a lattice; the product around any plaquette is constrained to be the group identity \$e\$. Such a model may possess topological order, i.e. its equilibrium ensemble has distinct, symmetry-related thermodynamic components that cannot be distinguished by any local order parameter. In particular, if \$G\$ is a non-abelian group, the topological order may be non-abelian. Criteria are given for the viability of particular models, in particular for Monte Carlo updates.}, archivePrefix = {arXiv}, author = {Henley, Christopher L.}, citeulike-article-id = {6008254}, citeulike-linkout-0 = {http://arxiv.org/abs/0910.4574}, citeulike-linkout-1 = {http://arxiv.org/pdf/0910.4574}, day = {23}, eprint = {0910.4574}, month = {Oct}, posted-at = {2009-10-26 03:25:49}, priority = {2}, title = {Classical height models with non-abelian topological order}, url = {http://arxiv.org/abs/0910.4574}, year = {2009} }

TY - JOUR ID - citeulike:6008254 L3 - citeulike-article-id:6008254 N2 - I discuss a family of statistical-mechanics models in which (some classes of) elements of a finite group $G$ occupy the (directed) edges of a lattice; the product around any plaquette is constrained to be the group identity $e$. Such a model may possess topological order, i.e. its equilibrium ensemble has distinct, symmetry-related thermodynamic components that cannot be distinguished by any local order parameter. In particular, if $G$ is a non-abelian group, the topological order may be non-abelian. Criteria are given for the viability of particular models, in particular for Monte Carlo updates. TI - Classical height models with non-abelian topological order AU - Henley, Christopher PY - 2009/Oct/23/ UR - http://arxiv.org/abs/0910.4574 ER -