Topology of gap nodes in superfluid 3He: pi4 homotopy group for 3 He-B disclinationстатья
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Дата последнего поиска статьи во внешних источниках: 22 декабря 2014 г.
Аннотация:The topologically stable zeros in the energy spectrum of Fermi excitations in
superfluid 3He both in uniform phases and in textures are classified. This
generalizes the classification of the defects of the order parameter in real
coordinate space to the classification of zeros in the gap, which are the more
general defects in coherent superfluid or superconducting states both in real
space and momentum k space. The zeros are described by classes of mappings
of the spherical surfaces S^n, embracing the 6-n-1-dimensional manifold
of zeros in six-dimensional (k,r) space, into the space of the Bogolyubov-
Nambu matrices, which describe the Fermi excitations. The examples of
topologically nontrivial manifolds of zeros are discussed, including the closed
line of zeros in five-dimensional space, which is described by the pi_4 homotopy
groups and exists in the core of the 3He-B disclination. This object demonstrates
the coupling between the real space topology of disclination and the extended
space topology of zeros in the disclination core.