English

Soft topological objects in topological media

Strongly Correlated Electrons 2015-03-17 v3 High Energy Physics - Phenomenology

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.

Cite

@article{arxiv.1101.1179,
  title  = {Soft topological objects in topological media},
  author = {Jukka I. Vayrynen and G. E. Volovik},
  journal= {arXiv preprint arXiv:1101.1179},
  year   = {2015}
}

Comments

6 pages, no figures, JETP Letters style, version submitted to JETP Lett

R2 v1 2026-06-21T17:08:17.986Z