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Vortex Line Ordering in the Driven 3-D Vortex Glass

Vortex Line Ordering in the Driven 3-D Vortex Glass. Peter Olsson Umeå University Umeå, Sweden. Ajay Kumar Ghosh Jadavpur University Kolkata, India. Stephen Teitel University of Rochester Rochester, NY USA. Vortex Wroc ł aw 2006. coupling on bond i m. phase of superconducting

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Vortex Line Ordering in the Driven 3-D Vortex Glass

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  1. Vortex Line Ordering in the Driven 3-D Vortex Glass Peter Olsson Umeå University Umeå, Sweden Ajay Kumar Ghosh Jadavpur University Kolkata, India Stephen Teitel University of Rochester Rochester, NY USA Vortex Wrocław 2006

  2. coupling on bond im phase of superconducting wavefunction magnetic vector potential density of magnetic flux quanta = vortex line density piercing plaquette a of the cubic grid uniform magnetic field along z direction magnetic field is quenched constant couplings between xy planes || magnetic field random uncorrelated couplings within xy planes disorder strength p weakly coupled xy planes 3D Frustrated XY Model kinetic energy of flowing supercurrents on a discretized cubic grid

  3. Equilibrium Behavior criticalpc at low temperature p < pc ordered vortex lattice p > pc disordered vortex glass we will be investigating p > pc

  4. Resistively-Shunted-Junction Dynamics apply: current density Ix response: voltage/length Vx vortex line drift vy Units voltage/length: temperature: current density: time:

  5. RSJ details twisted boundary conditions voltage/length new variable with pbc stochastic equations of motion

  6. Previous Simulations Domínguez, Grønbech-Jensen and Bishop - PRL 78, 2644 (1997) vortex density f = 1/6, 12 ≤ L ≤ 24, Jz = J weak disorder ?? moving Bragg glass vortex lines very dense, system sizes small, lines stiff Chen and Hu - PRL 90, 117005 (2003) vortex densityf = 1/20, L = 40, Jz = J weak disorder p ~ 1/2pc moving Bragg glass with 1st order transition to smectic single system size, single disorder realization, based on qualitative analysis of S(k) Nie, Luo, Chen and Hu - Intl. J. Mod. Phys. B 18, 2476 (2004) vortex densityf = 1/20, L = 40, Jz = J strong disorder p ~ 3/2pc moving Bragg glass with 1st order transition to smectic single system size, single disorder realization, based on qualitative analysis of S(k) We re-examine the nature of the moving state for strong disorder, p > pc, using finite size analysis and averaging over many disorders

  7. Parameters ground state p = 0 vortex densityf = 1/12 Jz = J p = 0.15 > pc ~ 0.14 Lup to 96 Ix Vx vortex line motion vy Quantities to Measure structural dynamicuse measured voltage drops to infer vortex line displacements

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