Petroleum and Chemical Industry International(PCII)

Adamas University, Kolkata, West Bengal, India

Publications

• Research Article   
  Exploring Topological and Localization Phenomena in SSH Chains Under Generalized AAH Modulation: A Computational Approach
  Author(s): Souvik Ghosh* and Sayak Roy
  
  The Su-Schrieffer-Heeger (SSH) model serves as a canonical example of a one-dimensional topo- logical insulator, yet its behavior under more complex, realistic conditions remains a fertile ground for research. This paper presents a comprehensive computational investigation into generalized SSH models, exploring the interplay between topology, quasi-periodic disorder, non-Hermiticity, and time- dependent driving. Using exact diagonalization and specialized numerical solvers, we map the system’s phase space through its spectral properties and localization characteristics, quantified by the Inverse Participation Ratio (IPR). We demonstrate that while the standard SSH model exhibits topologically protected edge states, these are destroyed by a localization transition induced by strong Aubry-André- Harper (AAH) modulation. Further, we employ unsupervised machine learning (PCA).. Read More»
  

  Abstract HTML PDF