Frustrated Polyelectrolyte Bundles and T=0 Josephson-Junction Arrays

Details Frustrated Polyelectrolyte Bundles and T=0 Josephson-Junction Arrays Frustrated Polyelectrolyte Bundles and T=0 Josephson-Junction Arrays

2006-01-20

arxiv.org/abs/cond-mat/0601462v3

Phys. Rev. Lett. 97, 027802 (2006)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 2 figures, 1 table minor changes to text, reference added

Scientific paper

10.1103/PhysRevLett.97.027802

We establish a one-to-one mapping between a model for hexagonal polyelectrolyte bundles and a model for two-dimensional, frustrated Josephson-junction arrays. We find that the T=0 insulator-to-superconductor transition of the {\it quantum} system corresponds to a continuous liquid-to-solid transition of the condensed charge in the finite temperature {\it classical} system. We find that the role of the vector potential in the quantum system is played by elastic strain in the classical system. Exploiting this correspondence we show that the transition is accompanied by a spontaneous breaking of chiral symmetry and that at the transition the polyelectrolyte bundle adopts a universal response to shear.

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