Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons

Details Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons

2010-09-14

arxiv.org/abs/1009.2551v3

Phys.Rev.Lett.106:067004,2011

Physics

Condensed Matter

Strongly Correlated Electrons

revised version accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.067004

We show that the critical behavior of quantum systems undergoing a percolation transition is dramatically affected by their topological Berry phase $2\pi\rho$. For irrational $\rho$, we demonstrate that the low-energy excitations of diluted Josephson-junctions arrays, quantum antiferromagnets, and interacting bosons are spinless fermions with fractal spectrum. As a result, critical properties not captured by the usual Ginzburg-Landau-Wilson description of phase transitions emerge, such as complex critical exponents, log-periodic oscillations and dynamically broken scale-invariance.

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