ELSEVIER Physica B 210 (1995) 311 333
PHYSICA[
Measurements on the vortex sheet in rotating superfluid 3He-A
fJ. Parts*, V.M.H. Ruutu, J.H. Koivuniemi, M. Krusius, E.V. Thuneberg, G.E. Volovik 1
Low Temperature Laboratory, Helsinld University of Technology, 02150 Espoo, Finland
Abstract
When a cylindrical container filled with superfluid 3He-A is rotated around its symmetry axis, several different
configurations of quantized vorticity are possible: which of them will be preferred depends on the specifics how the
rotating state is formed. The most unusual is the vortex sheet, a domain wall in the order parameter texture into which
vortex lines are confined. This metastable structure has the lowest critical velocity of formation if a domain wall with the
appropriate orientation is already present in the container. In this case the vortex sheet becomes the preferred rotating
state which provides the solid-body rotation of the superfluid component on an averaged scale. Its presence can be
identified from the cw NMR spectrum which samples the order parameter texture. Here the experimental properties of
the vortex sheet are reviewed, as deduced from NMR measurements.
1. Introduction
Superfluid 3He-A is currently the best experimentally
accessible example of a superfluid or a superconductor,
where the topology of various types of objects of the
order parameter field can be investigated. The most eas-
ily studied objects are vortices. They can be created in
large numbers simply by rotating the liquid because they
constitute the equilibrium state of the rotating superfluid.
Many different vortex structures exist in 3He-A: they can
be "singular" or "continuous", "dipole locked" or "dipole
unlocked", and "singly quantized" or "multiply quan-
tized". Their structure can be studied with NMR spectro-
scopy or from the transmission properties of ultra sound,
which both give information on the order parameter
texture.
*Corresponding author.
1Permanent address: Landau Institute for Theoretical Physics,
117334 Moscow, Russian Federation.
A striking new form of vorticity in 3He-A is the vortex
sheet (Fig. 1). It is a combined object consisting of a do-
main wall into which special types of vortex lines are
stacked as a linear array. The vortices do not easily
escape from the domain wall, and in order to distribute
them as uniformly as possible in a rotating container, the
sheet is arranged in equidistant folds. The sheet has
higher energy than separated vortex lines at low angular
velocity (t2 < 3 rad/s). Nevertheless, it appears as a meta-
stable object. If a suitably oriented domain wall already
exists in the container, vortex quanta are more easily
created at its contact lines with the container wall and are
added to the sheet, rather than nucleated in any form of
separate vortex lines.
In this report we focus on the experimental properties
of the vortex sheet, as they emerge from our NMR
measurements. Indications for its existence have been
seen earlier [-1], but only now these observations have
been interpreted and correlated with a new structure of
vorticity I-2]. Theoretically, the existence of the vortex
sheet seems obvious, and its experimental identification
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