Stability of the vortex lattice in a rotating superfluid

Physics – Condensed Matter

Scientific paper

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16 pages

Scientific paper

10.1103/PhysRevB.51.11697

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.

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