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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DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.
Time evolution in the time-dependent SU(2) Gross-Neveu model with RG-matched coupling is equivalent to renormalization group flow, generating an exponentially decaying dynamical mass gap in the adiabatic regime.
Classical random walks on finite 2D lattices of varying connectivity show diffusive spreading insensitive to lattice details, with mass fractal dimension 1.50±0.03 and hull dimension 1.37±0.03 that approach Brownian-motion values with increasing steps.
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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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BCS-BEC crossover in trapped one-dimensional Fermi-Hubbard chains: entanglement and correlation signatures from DMRG and effective-pairing theory
DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.
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Time-Dependent Dynamical Dimensional Transmutation in the $SU(2)$ Gross-Neveu Model with Time-Dependent Interaction Strength
Time evolution in the time-dependent SU(2) Gross-Neveu model with RG-matched coupling is equivalent to renormalization group flow, generating an exponentially decaying dynamical mass gap in the adiabatic regime.
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Finite-size scaling properties of classical random walk on various two-dimensional lattices
Classical random walks on finite 2D lattices of varying connectivity show diffusive spreading insensitive to lattice details, with mass fractal dimension 1.50±0.03 and hull dimension 1.37±0.03 that approach Brownian-motion values with increasing steps.