The "Coulomb phase" in frustrated systems

Details The "Coulomb phase" in frustrated systems The "Coulomb phase" in frustrated systems

2009-12-22

arxiv.org/abs/0912.4531v1

Physics

Condensed Matter

Statistical Mechanics

30 pp, 5 figures (Sub. to Annual Reviews of Condensed Matter Physics)

Scientific paper

The "Coulomb phase" is an emergent state for lattice models (particularly highly frustrated antiferromagnets) which have local constraints that can be mapped to a divergence-free "flux". The coarse-grained version of this flux or polarization behave analogously to electric or magnetic fields; in particular, defects at which the local constraint is violated behave as effective charges with Coulomb interactions. I survey the derivation of the characteristic power-law correlation functions and the pinch-points in reciprocal space plots of diffuse scattering, as well as applications to magnetic relaxation, quantum-mechanical generalizations, phase transitions to long-range-ordered states, and the effects of disorder.

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