Moving glass theory of driven lattices with disorder

Details Moving glass theory of driven lattices with disorder Moving glass theory of driven lattices with disorder

1997-08-12

arxiv.org/abs/cond-mat/9708085v1

Phys. Rev. B. 57 11356 (1998)

Physics

Condensed Matter

74 pages, 27 figures, RevTex

Scientific paper

10.1103/PhysRevB.57.11356

We study periodic structures, such as vortex lattices, moving in a random potential. As predicted in [T. Giamarchi, P. Le Doussal Phys. Rev. Lett. 76 3408 (1996)] the periodicity in the direction transverse to motion leads to a new class of driven systems: the Moving Glasses. We analyse using several RG techniques the properties at T=0 and $T>0$: (i) decay of translational long range order (ii) particles flow along static channels (iii) the channel pattern is highly correlated (iv) barriers to transverse motion. We demonstrate the existence of the ``transverse critical force'' at T=0. A ``static random force'' is shown to be generated by motion. Displacements grow logarithmically in $d=3$ and algebraically in $d=2$. The persistence of quasi long range translational order in $d=3$ at weak disorder, or large velocity leads to predict a topologically ordered ``Moving Bragg Glass''. This state continues the static Bragg glass and is stable at $T>0$, with non linear transverse response and linear asymptotic behavior. In $d=2$, or in $d=3$ at intermediate disorder, another moving glass exist (the Moving Transverse Glass) with smectic quasi order in the transverse direction. A phase diagram in $T$ force and disorder for static and moving structures is proposed. For correlated disorder we predict a ``moving Bose glass'' state with anisotropic transverse Meissner effect and transverse pinning. We discuss experimental consequences such as anomalous Hall effect in Wigner crystal and transverse critical current in vortex lattice.

Affiliated with

Also associated with

No associations

Rating

Moving glass theory of driven lattices with disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moving glass theory of driven lattices with disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moving glass theory of driven lattices with disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727044