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Local resolution-limit-free Potts model for community detection.
An exceptionally accurate spin-glass-type Potts model for community detection that is at least as accurate as the best currently available algorithms and robust to the effects of noise and competitive with the best current algorithms in terms of speed and size of solvable systems.
TOPICAL REVIEW: The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
One of the most spectacular phenomena in physics in terms of dynamical range is the glass transition and the associated slowing down of flow and relaxation with decreasing temperature. That it occurs
Multiresolution community detection for megascale networks by information-based replica correlations.
A Potts model community detection algorithm is used to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph and has an accuracy that ranks among the best of currently available methods.
Quantum critical behaviour in a high-Tc superconductor
It is demonstrated that the experimentally measured phase angle agrees precisely with the exponent of the optical conductivity, which points towards a quantum phase transition of an unconventional kind in the high-Tc superconductors.
Repulsive interactions in quantum Hall systems as a pairing problem
we show that general Haldane pseudopotentials (and their sums) can be expressed as a sum of repulsive non-commuting (px +ipy)-type pairing Hamiltonians. The determination of the spectrum and
Compass models: Theory and physical motivations
Compass models are theories of matter in which the couplings between the internal spin (or other relevant field) components are inherently spatially (typically, direction) dependent. A simple
Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
In certain materials with strong electron correlations a quantum phase transition (QPT) at zero temperature can occur, in the proximity of which a quantum critical state of matter has been
Autocorrelations and thermal fragility of anyonic loops in topologically quantum ordered systems
Are systems that display Topological Quantum Order (TQO), and have a gap to excitations, hardware fault-tolerant at finite temperatures? We show that in models that display low d-dimensional