I have just been reading a classical paper on the formation of majorana edge states (MES) in quantum wires. The hamiltonian is Kitaev type with a superconducting and spin-orbit interacting and one finds that the energies have a gap that closes and reopens as we vary the magnetic field. According to the authors this indicates a topological phase transition and they then proceed to show that a Majorana edge state forms centered around the point, where the closes.(adsbygoogle = window.adsbygoogle || []).push({});

But I must I am a bit confused with the language and terms in this article. What does a topological phase transition mean and what indicates that we are dealing with a topological phase transition?

The article is this one: http://arxiv.org/abs/1003.1145

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# Topological phase transition

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