GLASSY DYNAMICS OF 2-DIMENSIONAL VORTEX GLASSES, CHARGE-DENSITY WAVES, AND SURFACES OF DISORDERED CRYSTALS

The low-temperature phase of a model of pinned, two-dimensional flux lines is analytically shown to be glassy. Typical energy barriers L diverge as (1nL)1/2 as the length scale L --> infinity. This implies a voltage-current relation of the form V = C1Iexp{-C2[1n(I0/I)]1/2}. The growth velocity V(G) of the surface of a disordered crystal is given by V(G) = C3-DELTA-mu-exp{-C4[1n(DELTA-mu-c/DELTA-mu)]1/2}, where DELTA-mu is the crystal-liquid chemical-potential difference. Similar results hold for 2D charge-density waves, if dislocations in the charge-density wave are ignored.