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Destruction of superconductivity in thin films was thought to be a simpleinstance of Berezinskii-Kosterlitz-Thouless physics in which only two phasesexist: a superconductor with algebraic long range order in which the vorticescondense and an insulator where the vortex-antivortex pairs proliferate.However, since 1989 this view has been challenged as now a preponderance ofexperiments indicate that an intervening bosonic metallic state obtains uponthe destruction of superconductivity. We review here a glassy model which iscapable of capturing both of these features. The finite resistance arises fromthree features. First, the disordered insulator-superconductor transition inthe absence of fermionic degrees of freedom (Cooper pairs only), is controlledby a diffusive fixed point\cite{CN} rather than the critical point of the cleansystem. Hence, the relevant physics that generates the Bose metal should arisefrom a term in the action in which different replicas are mixed. We showexplicitly how such physics arises in the phase glass. Second, in 2D (not in3D) the phase stiffness of the glass phase vanishes explicitly as has beenshown in extensive numerical simulations\cite{ky,kosterlitz1,kosterlitz2}.Third, bosons moving in such a glassy environment fail to localize as a resultof the false minima in the landscape. We calculate the conductivity explicitlyusing Kubo response and show that it turns on as a power law and has avanishing Hall response as a result of underlying particle-hole symmetry. Weshow that when particle-hole symmetry is broken, the Hall conductance turns onwith the same power law as does the longitudinal conductance.

Bose Metal as a Disruption of the Berezinskii-Kosterlitz-Thouless Transition in 2D Superconductors