On Computation and Analysis of Entropy Measures for Metal-Insulator Transition Super Lattice

Abstract

Mathematical chemistry plays a vital role in investigating the metal-insulator transition Superlattice (GST-SL) of strongly correlated $3D$ electrons due to quantum confinement. The development of epitaxial GST-SL thin films with the design of heterogenous openings is of extraordinary interest due to their applications. The thin-film declaration and the construction of exceptionally arranged amalgam accumulates are crucial for phase transformation application in non-erratic retentiveness. Softening and crystalline elements of the multi-part GST composite have been explored. This paper determines some topological properties, such as degree-based topological descriptors and their entropy measures. More precisely, we analyzed the entropy and the heat of the formation of single crystals, monolayers, and various layers of Ge–Sb–Te.

Keywords:

• Balaban index
• Entropy
• Forgotten index
• Hyper Zagreb index
• Metal-insulator transition superlattice
• Zagreb-type indices

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The research was supported by Anhui Quality Engineering Project(2020): Accounting and Statistics Teaching Team [grant number 2020jxtd031].

Notes on contributors

Xuemei Zhao

Xuemei Zhao received the Master's degree from Anhui University of Finance and Economics in 2017. She is currently an associate professor of Anhui Business and Technology College. Her current research interests include statistical data analysis. Email: [email protected]

Muhammad Kamran Siddiqui

Muhammad Kamran Siddiqui received the MSc degree in applied mathematics from the University of the Punjab, Pakistan, in 2005. He received the MPhil degree in applied mathematics from Government College University Lahore, Pakistan, in 2009. He received a PhD degree in discrete mathematics specialization in Graph Theory from the Abdus Salam School of Mathematical Sciences, Government College University Lahore, Pakistan, in 2014. He obtained post-doctoral from the Department of Mathematical Sciences, United Arab Emirates University, United Arab Emirates in 2018. Since 2014, he has been an assistant professor with the Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan. He successfully supervised 12 MSc Mathematic students. His current research interests include discrete mathematics, graph theory and its applications, chemical graph theory, combinatorics, neural networks, and complex dynamical networks. He is a reviewer of Ars Combinatoria, Utilitas Mathematica, Math Reports, Symmetry, IET Control Theory and Application, IEEE Access, Mathematics and Discrete Applied Mathematics.

Shazia Manzoor

Shazia Manzoor is a PhD scholar at the Department of Mathematics, COMSATS University Islamabad, Lahore Campus Pakistan. Her current research interests include chemical graph theory and combinatorics. Email: [email protected]

Sarfraz Ahmad

Sarfraz Ahmad is working as associate professor at the Department of Mathematics COMSATS University Islamabad, Lahore campus. He acquired his PhD from Abdus Salam school of Mathematical Sciences, GCU Lahore Pakistan in 2008. In 2011 he did his post-doctorate from Phillips Universtiat Marburg Germany. His current research interests include commutative algebra, chemical graph theory and combinatorics. Email: [email protected]

Mehwish Hussain Muhammad

Mehwish Hussain Muhammad completed the MSc degree in chemistry from Center of Coal Technology Institute from The University of the Punjab, Pakistan in 2014 and the MPhil degree in chemistry from Department of Chemistry Forman Christine College (Chartered University) in 2016. She is currently pursuing PhD in Organic Chemistry from College of Chemistry and Molecular Engineering, Zhengzhou University, Zhengzhou, China. Her current research interests include organic chemistry and chemical graph theory. Email: [email protected]

Jia-Bao Liu

Jia-Bao Liu is currently professor at School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China. He received the BS degree in mathematics and applied mathematics from Wanxi University, Anhui, China, in 2005, and the MS degree and the PhD degree in mathematics and applied mathematics from Anhui University, Anhui, China, in 2009 and 2016, respectively. From September 2013 to July 2014, he was a visiting researcher at the School of Mathematics, Southeast University, China. In March 2017, he was a postdoctoral Fellow at the School of Mathematics, Southeast University, China. He is the author or coauthor of more than 160 papers and edited two books. He is the executive guest editor of Combinatorial Chemistry & High Throughupt Screening. He is the guest editor of Journal of Chemistry and the guest editor of Frontiers in Neuroscience. His current research interests include graph theory and its applications, fractional calculus theory, neural networks, and complex dynamical networks. Dr Liu is a Reviewer of Mathematical Reviews and Zentralblatt-Math. Email: [email protected]