The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with $\lambda\simeq 0\simeq T$ and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent $\theta\simeq +1.0$ for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with $\theta\simeq +1.0$ which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with $\theta\simeq -1.0$. We estimate the critical external field whose value is consistent with experiment.

Giardina', Cristian, Priezjev, N. V. e Kosterlitz, J. M.. "Screened Vortex Lattice Model with Disorder" Working paper, arXiv.org, 2002.

### Screened Vortex Lattice Model with Disorder

#### Abstract

The three dimensional XY model with quenched random disorder and finite screening is studied. We argue that the system scales to model with $\lambda\simeq 0\simeq T$ and the resulting effective model is studied numerically by defect energy scaling. In zero external field we find that there exists a true superconducting phase with a stiffness exponent $\theta\simeq +1.0$ for weak disorder. For low magnetic field and weak disorder, there is also a superconducting phase with $\theta\simeq +1.0$ which we conjecture is a Bragg glass. For larger disorder or applied field, there is a non superconducting phase with $\theta\simeq -1.0$. We estimate the critical external field whose value is consistent with experiment.
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Giardina', Cristian; N. V., Priezjev; J. M., Kosterlitz
Giardina', Cristian, Priezjev, N. V. e Kosterlitz, J. M.. "Screened Vortex Lattice Model with Disorder" Working paper, arXiv.org, 2002.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/639882
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