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We describe in detail a counterexample to the topological classification of free fermion systems.
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C. Kane, and E. Mele, “Quantum Spin Hall Effect in Graphene,” Phys. Rev. Lett. 95
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C. Kane, and E. Mele, “ ℤ 2 \mathbb{Z}_{2} Topological Order and the Quantum Spin Hall Effect,” Phys. Rev. Lett. 95
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2009
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