Topological glass transition in entangled flux state.

We predict a glass transition in the recently discovered flux-fluid state of high-{Tc} superconductors due to topological entanglements. Two possible relaxation mechanisms are considered---single-flux-line motion with relaxation time {tau}{sub 1}{approximately}exp{l brace}exp(({Lambda}/{ital d}){sup 2}){r brace}, and collective motion of many flux lines with relaxation time {tau}{sub col}{approximately}exp(({Lambda}/{ital d}){sup 6}), where {Lambda} is the magnitude of transverse fluctuations of flux lines and {ital d} is the intervortex spacing. This extremely slow relaxation enables the system of entangled flux lines to support supercurrents in the presence of only a few strong pinning centers.