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# Phase Transitions Driven by Vortices in 2D Superfluids and Superconductors: From Kosterlitz-Thouless to 1st Order

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### Abstract

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $$\lambda$$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $$\xi$$ in units of the lattice spacing $$a$$). It is observed that amplitude fluctuations can change dramatically the nature of the phase transition: for small values of $$\lambda$$ ($$\xi/a > 0.7$$), instead of the smooth Kosterlitz-Thouless transition there is a {\em first order} transition with a discontinuous jump in the vortex density $$v$$ and a larger non-universal drop in the helicity modulus. In particular, for $$\lambda$$ sufficiently small ($$\xi/a \cong 1$$), the density of bound pairs of vortex-antivortex below $$T_c$$ is so low that, $$v$$ drops to zero almost for all temperature $$T<Tc$$.

### Most cited references7

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### Two-dimensional melting

(1988)
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### Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors

(1979)
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• Abstract: not found
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### Melting of Two-Dimensional Vortex Lattices

(1979)
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### Author and article information

###### Journal
22 June 2000
###### Article
10.1103/PhysRevB.63.132504
cond-mat/0006341
###### Custom metadata
8 pages, 5 .eps figures
cond-mat.supr-con hep-lat hep-th

Condensed matter, High energy & Particle physics