Stability of the vortex lattice in a rotating superfluid
arXiv:cond-mat/9412066 · doi:10.1103/PhysRevB.51.11697
Abstract
We analyze the stability of the vortex lattice in a rotating superfluid against thermal fluctuations associated with the long-wavelength Tkachenko modes of the lattice. Inclusion of only the two-dimensional modes leads formally to instability in infinite lattices; however, when the full three-dimensional spectrum of modes is taken into account, the thermally-induced lattice displacements are indeed finite.
16 pages