5 papers
Emergent Topological Complexity in the Barabasi-Albert Model with Higher-Order Interactions
Vadood Adami, Hosein Masoomy, Mirko LukoviÄ +1
We examine the homological structure of the Barabasi-Albert model, focusing on the time evolution of -dimensional simplices and topological holes as functions of time and t…
Haldane-Inspired Generalized Statistics
M. H. Naghizadeh Ardabili, Omid Yahyayi Monem, Morteza Nattagh Najafi +1
We propose and study a generalized quantum statistical framework, referred to as \emph{alpha statistics}, that continuously interpolates between Bose--Einstein and Fermi--Dirac sta…
A Self-Organized Model for the Flicker Noise in Interacting Two-Dimensional Electron Gas
Maryam Pirgholi, Morteza Nattagh Najafi, Vadood Adami
We investigate self-organized criticality in a two-dimensional electron gas (2DEG) by introducing a lattice-based model that incorporates electron-electron interactions through the…
Quantum Geometry of Finite XY Chains: A Comparison of Neveu-Schwarz and Ramond Sectors
Nayereh Einali, Hosein Mohammadzadeh, Vadood Adami +1
This paper presents a geometrical analysis of finite length XY quantum chains. We begin by examining the ground state and the first excited state of the model, emphasizing the impa…
Centrality and Universality in Scale-Free Networks
V. Adami, S. Emdadi-Mahdimahalleh, H. J. Herrmann +1
We propose a novel paradigm for modeling real-world scale-free networks, where the integration of new nodes is driven by the combined attractiveness of degree and betweenness centr…