1996/10/31 by G. E. Volovik · 13 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermi gas #Fermi surface #Fermion #Hamiltonian (control theory) #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #Superfluidity #Vortex #Vorticity #cond-mat.supr-con
paper · pdf · doi:10.1134/1.567257
published in Journal of Experimental and Theoretical Physics Letters 64(11), 845-852 (Pleiades Publishing) · LaTeX file, 11 pages, no figures, version accepted in JETP Letters
arxiv created 1996/11/21 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Poisson brackets for the Hamiltonian dynamics of vortices are discussed for 3 regimes, in which the dissipation can be neglected and the vortex dynamics is reversible: (i) The superclean regime, in which the spectral flow is suppressed. (ii) The regime in which the fermions are pinned by the crystal lattice. This includes the regime of extreme spectral flow of fermions in the vortex core: these fermions are effectively pinned by the normal component. (iii) The case when the vortices are strongly pinned by the normal component. All these limits are described by the single parameter C 0 , the physical meaning of which is discussed for superconductors containing several bands of electrons and holes. The effect of the topology of the Fermi surface on the vortex dynamics is also discussed.