On topological order in quantum systems and its thermodynamic stability:
Zohar Nussinov, Gerardo Ortiz: Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems, Phys. Rev. B 77 x (2008) Phys. Rev. B 77, 064302 [doi:10.1103/PhysRevB.77.064302, arXiv:0709.2717, arXiv:0709.2717]
Zohar Nussinov, Gerardo Ortiz: Symmetry and Topological Order, Proceedings of the National Academy of Sciences 106 40 (2009) 16944-16949 [doi:10.1073/pnas.0803726105, arXiv:cond-mat/0605316]
Zohar Nussinov, Gerardo Ortiz: A symmetry principle for Topological Quantum Order, Annals of Physics 324 5 (2009) 977-1057 [doi:10.1016/j.aop.2008.11.002, arXiv:cond-mat/0702377]
Zohar Nussinov, Gerardo Ortiz: Sufficient symmetry conditions for Topological Quantum Order, PNAS 106 40 (2009) 16944-16949 [doi:10.1073/pnas.080372610]
On the quantum adiabatic theorem in the generality of non-abelian Berry phases such as needed for anyon-braiding:
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