Autonomous dynamics of two-dimensional insulating domain with superclimbing edges
arxiv(2024)
摘要
Superclimbing dynamics is the signature feature of transverse quantum fluids
describing wide superfluid one-dimensional interfaces and/or edges with
negligible Peierls barrier. Using Lagrangian formalism, we show how the essence
of the superclimb phenomenon – dynamic conjugation of the fields of the
superfluid phase and geometric shape – clearly manifests itself via
characteristic modes of autonomous motion of the insulating domain (“droplet")
with superclimbing edges. In the translation invariant case and in the absence
of supercurrent along the edge, the droplet demonstrates ballistic motion with
the velocity-dependent shape and zero bulk currents. In an isotropic trapping
potential, the droplet features a doubly degenerate sloshing mode. The period
of the ground-state evolution of the superfluid phase (dictating the frequency
of the AC Josephson effect) is sensitive to the geometry of the droplet. The
supercurrent along the edge dramatically changes the droplet dynamics: The
motion acquires features resembling that of a 2D charged particle interacting
with a perpendicular magnetic field. In a linear external potential (uniform
force field), the state with a supercurrent demonstrates a spectacular
gyroscopic effect – uniform motion in the perpendicular to the force
direction.
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