Emergent Quantum Criticality and Universality Exponents from Informational Susceptibility: An HIGM Ansatz for Strongly Correlated Systems

Emergent Quantum Transport in Strongly Correlated Lattices: A Formalization of the Hamouda Informational Gravity Model (HIGM) in Tight-Binding Mesoscopic Systems

Samir A Hamouda

Aug 17, 20260 citations

Emergent Quantum Criticality and Universality Exponents from Informational Susceptibility: An HIGM Ansatz for Strongly Correlated Systems

Samir A Hamouda

Published Jan 1, 2026• 0 citations

Publisher

DOI: 10.13140/rg.2.2.24901.82406

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Emergent Quantum Transport in Strongly Correlated Lattices: A Formalization of the Hamouda Informational Gravity Model (HIGM) in Tight-Binding Mesoscopic Systems

Samir A Hamouda

Aug 17, 20260 citations

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'e-Harper model with

p

-wave pairing, which have rarely been exploited as most investigations focus on the localization transition from the critical phase to the localized phase. We find that the spectrum-averaged entanglement entropy and the generalized fidelity susceptibility act as eminent universal order parameters of the corresponding critical point without gap closing. We introduce a Widom scaling Ansatz for these criticality probes to develop a unified theory of critical exponents and scaling functions. We thus extract the correlation-length critical exponent $\ensuremath{\nu}$ and the dynamical exponent

z

through the finite-size scaling given the system size increase in the Fibonacci sequence. The retrieved values of $\ensuremath{\nu}\ensuremath{\simeq}1.000$ and $z\ensuremath{\simeq}3.610$ indicate that the transition from the extended phase to the critical phase belongs to a different universality class from the localization transition. Our approach sets the stage for exploring the unconventional quantum criticality and the associated universal information of quasiperiodic systems in state-of-the-art quantum simulation experiments.