Dirac lines in the parameter and momentum spaces
G. E. Volovik
Low Temperature Laboratory, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
Abstract
The time reversal symmetric polar phase of the spin-triplet
superfluid 3He has two types of Dirac nodal lines. In addition to the
Dirac loop in the spectrum of the fermionic Bogoliubov quasiparticles in
the momentum space (px,py,pz), the spectrum of bosons (magnons) has
Dirac loop in the 3D space of parameters - the components of magnetic
field (Hx,Hy,Hz). The bosonic Dirac system lives on the border
between the type-I and type-II.