Soft topological objects in topological media |
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| Authors: | J I Väyrynen G E Volovik |
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| Institution: | 1.Low Temperature Laboratory,Aalto University School of Science,Aalto,Finland;2.Landau Institute for Theoretical Physics,Russian Academy of Sciences,Moscow,Russia |
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| Abstract: | Topological invariants in terms of the Green’s function in momentum and real space determine properties of smooth textures
within topological media. In space dimension d = 1 the topological invariant N
3 in terms of the Green’s function  (ω, k
x
, x) determines the fermion number of the kink, while in space dimension d = 3 the topological invariant N
5 in terms of the Green’s function  (ω, k
x
, k
y
, k
z
, z) determines quantization of Hall conductivity in the soliton plane within the topological insulators. |
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| Keywords: | |
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