Competing long-range/short-range interactions

Two-dimensional systems in which there is a competition between long-range repulsion and short range attraction exhibit a remarkable variety of patterns such as stripes, bubbles, and labyrinths. Such systems include magnetic films, Langmuir monolayers, polymers, gels, and water-oil mixtures. It has been proposed that similar competing interactions can arise in two-dimensional electron systems leading to stripes, clumps, and liquid crystalline electron states. Stripe and other charge-ordered phases in metal oxides are sometimes modeled as systems with competing long range repulsion and short range attraction. In many of these systems quenched disorder from the underlying substrate may be present; however, it is not known how this disorder would affect the structure and dynamics of these systems. Quenched disorder can strongly alter the transport properties, producing a pinning effect in which a finite driving force must be applied before net motion occurs.

Papers:

1. Commensurate and incommensurate checkerboard charge ordered states
   C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
   Physica C 460-462, 1178 (2007).
   

2. Noise and hysteresis in charged stripe, checkerboard, and clump forming systems
   C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
   Proc. SPIE 6600, 66001B (2007).
   

3. Structure and fragmentation in artificial nuclei systems
   C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
   cond-mat/0607536
   Eur. Phys. J. E 22,11 (2007).
   

4. Hysteresis and noise in stripe and clump forming systems
   C. Reichhardt, C.J. Olson Reichhardt, and A.R. Bishop
   cond-mat/0503261
   Europhys. Lett. 72, 444 (2005).
   

5. Dynamics and melting of stripes, crystals, and bubbles with quenched disorder
   C.J. Olson Reichhardt, C. Reichhardt, I. Martin, and A.R. Bishop
   Physica D 193, 303 (2004).
   Online version

6. Fibrillar templates and soft phases in systems with short-range dipolar and long-range interactions
   C.J. Olson Reichhardt, C. Reichhardt, and A.R. Bishop
   Phys. Rev. Lett. 92, 016801 (2004).
   Online version
   

7. Effect of FET geometry on charge ordering of transition metal oxides
   C.J. Olson Reichhardt, C. Reichhardt, D.L. Smith, and A.R. Bishop
   Phys. Rev. B 68, 033101 (2003).
   Online version

8. Dynamical ordering of driven stripe phases in quenched disorder
   C. Reichhardt, C.J. Olson Reichhardt, I. Martin, and A.R. Bishop
   Phys. Rev. Lett. 90, 026401 (2003).
   Online version
   

9. Depinning and dynamics of systems with competing interactions in quenched disorder
   C. Reichhardt, C.J. Olson, I. Martin, and A.R. Bishop
   Europhys. Lett. 61, 221 (2003).
   Online version