Abstract
We investigate the flow of a strongly coupled anyonic superfluid based on the holographic D3-D7' probe brane model. By analyzing the spectrum of fluctuations, we find the critical superfluid velocity, as a function of the temperature, at which the flow stops being dissipationless when flowing past a barrier. We find that at a larger velocity the flow becomes unstable even in the absence of a barrier.
Highlights
Likewise just the Lorentz transform of the zero-velocity spectrum
We investigate the flow of a strongly coupled anyonic superfluid based on the holographic D3-D7’ probe brane model
We will see by analyzing the fluctuation spectrum, that the anyonic superfluid becomes unstable before the maximum superfluid velocity is reached
Summary
The D3-D7’ model is constructed by embedding a probe D7-brane in the background generated by a stack of N D3-branes in such a way that the intersection is (2+1)-dimensional [5, 6] (see [7, 8]). In order to construct a quantum Hall state with a background magnetic field, electric field, and charge density, we turn on the following additional components of the worldvolume gauge field: Fxy = B b 2πα. Because the quantum Hall state has vanishing longitudinal conductivity [2], there will not be a current in the x-direction and we will find ax = 0 In these coordinates, the action of the D7-brane, which consists of a Dirac-Born-Infeld term and a Chern-Simons term, reads [1]:. In addition a boundary term at the tip of the D7 brane has to be added This can be seen from either requiring gauge invariance under shifts of the RR four-form potential [2] or by consistency of the variation principle. We do not expect to find qualitatively different results for different values of f
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