Topological quantum critical points exhibit anomalous dynamical scaling in boundary dynamics and defect production due to edge modes, beyond conventional Kibble-Zurek scaling.
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Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,
Critical temperature equals coordination energy divided by the log of a multiplicity factor that splits into a lattice-topological constant and a q-state sampling term.
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Anomalous Dynamical Scaling at Topological Quantum Criticality
Topological quantum critical points exhibit anomalous dynamical scaling in boundary dynamics and defect production due to edge modes, beyond conventional Kibble-Zurek scaling.
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Energy-Weighted Site Percolation in Two Dimensions
Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,
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Critical Temperatures from Domain-Wall Microstate Counting: A Topological Solution for the Potts Universality Class
Critical temperature equals coordination energy divided by the log of a multiplicity factor that splits into a lattice-topological constant and a q-state sampling term.