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arXiv · 1101.1179

Soft topological objects in topological media

Jukka I. Vayrynen·G. E. Volovik
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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 G(\omega,k_x,x) determines the fermion number of the 1D soliton, while in space dimension D=3 the topological invariant N_5 in terms of the Green's function G(\omega,k_x,k_y,k_z,z) determines quantization of Hall conductivity in the soliton plane within the topological insulators.

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Jukka I. Vayrynen, G. E. Volovik. 2011-01-06. Soft topological objects in topological media. https://doi.org/10.1134/s0021364011060129

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