Intrinsic pinning of vorticity by domain walls of l texture in superfluid 3He-A

We present the first observation of substantial persistent flow in superfluid 3He-A in thick simply connected slabs in a zero magnetic field, but only in l textures with domain walls. The flow is induced in a rotating cryostat using a torsional oscillator as a probe. The hysteretic dependences of the trapped vorticity on the maximal angular velocity of rotation are fairly universal for different densities of domain walls and slab thicknesses. A model of a critical state set by either the critical velocity for vortex nucleation or pinning strength explains all observations.     

Magnetoelectric textures in 3He-A slabs

The Ginzburg-Landau theory predicts the orientation of the ³He-A axes in a slab subject to electric and magnetic fields. Capacitive measurements are shown to be sensitive to the equilibrium orientation.     

Abelian Chern-Simons term in superfluid 3He-A

We show in this paper that an Abelian Chern-Simons term is induced in (2 + 1)- and (3 + 1)-dimensional rotating superfluid ³He-A and that it plays an important role in its dynamics. Because U(1) symmetry is spontaneously broken in ³He-A, a Goldstone mode appears and contributes to the induced Chern-Simons term. We found that the coefficient of the Chern-Simons term, which is equivalent to Hall conductance, depends on an infra-red cut-off of the Goldstone mode, and that the orbital angular momentum of ³He-A in a cylinder geometry is derived from the Chern-Simons term.     

Low-temperature effective electromagnetism in superfluid 3He-A

A general low-temperature effective action for the order parameter in the superfluid phase A of helium 3 is derived. In a symmetric case, when the Fermi velocity equals the transverse velocity of low energy fermionic quasiparticles, the action is the standard relativistic electromagnetic action.     

Flow-induced soliton lattice in superfluid 3He-A

It is shown that in the presence of superflow, υ_s, parallel to a strong magnetic field H (|H| ? 20 Oe), the uniform texture becomes unstable againts the formation of a one dimensional soliton lattice forυ_s ? υ_c2 (≈1 mm/s). The period of the resulting soliton lattice as well as the related NMR frequencies are determined as functions of υ_s.     

Superfluid 3He-A in a cylindrical pore

The Ginzburg-Landau free energy for superfluid ³He is reexpressed in arbitrary curvilinear coordinate systems. Application to ³He-A in a long cylindrical pore with large and small radii yields quantitative predictions for the stable configurations.     

Random anisotropy disorder in superfluid 3He-A in aerogel

Anisotropic superfluid ³He-A in aerogel provides an interesting example of a system with continuous symmetry in the presence of random anisotropy disorder. Recent NMR experiments allow us to discuss two regimes of the orientational disorder that have different NMR properties. One of them, the (c) state, is identified as the pure Larkin-Imry-Ma state. The structure of another state, the (f) state, is not very clear: probably, it is the Larkin-Imry-Ma state contaminated by the network of the topological defects pinned by the aerogel. The text was submitted by the author in English.     

Attenuation of second sound in superfluid 3He-A1

The attenuation of second sound (spin-entropy) wave in the superfluid A1 phase has been measured in magnetic fields up to 11 T and to sufficiently high frequency to observe the bulk attenuation proportional to the square of frequency. The measured attenuation coefficient is compared with the existing theories of hydrodynamics and dissipative coefficients. The resulting "excess" attenuation is discussed in terms of the temperature dependent spin diffusion coefficient in the superfluid.     

Microscopically derived Wess-Zumino action for 3He-A

It is shown that the effective action in ³He-A contains the Wess-Zumino topological action, from which the orbital dynamics is naturally obtained. The obtained spontaneous orbital momentum of liquid coincides fully with the one predicted by phenomenology. The connection with the chiral anomaly in quantum electrodynamics is considered.     

HYDRODYNAMIC EQUATIONS OF 3He-A PHASE SUPERFLUID LIQUID

A generalized theory of ³He-A phase superfIuid is estab- lisped, which can comprise the Khalatnikov-Lebedev's theory treated as a special case, The starting point of this work is the Zilsel's principle in which the density of the super- fluid component is defined as an independent variable, It has the advantage of including naturally the "healing effect" of ³He-A superfluid liquid, whereby overcoming the difficulties encountered in Khalatnikov-Lebedev's theory.