2017/04/01 by Abdullah Algin, Ali Serdar Arikan
Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Entropy (arrow of time) #Fermi Gamma-ray Space Telescope #Fermion #Fibonacci number #Focus (optics) #Quasicrystal Structures and Properties #Quasiparticle #Theoretical and Computational Physics #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1742-5468/aa6687
published as Journal of Statistical Mechanics: Theory and Experiment (2017) 043105 · 33 pages, 6 figures, 1 table
openalex publication_date 2017/04/01 · openalex created_date 2017/04/28 · arxiv created 2017/05/17 · arxiv updated 2017/05/18 · openalex updated_date 2026/08/05
Abstract A deformed fermion gas model aimed at taking into account thermal and electronic properties of quasiparticle systems is devised. The model is constructed by the fermionic Fibonacci oscillators whose spectrum is given by a generalized Fibonacci sequence. We first introduce some new properties concerning the Fibonacci calculus. We then investigate the low-temperature thermostatistical properties of the model, and derive many of the deformed thermostatistical functions such as the chemical potential and the entropy in terms of the model deformation parameters p and q . We specifically focus on the p , q -deformed Sommerfeld parameter for the heat capacity of the model, and its behavior is compared with those of both the free-electron Fermi theory and the experimental data for some materials. The results obtained in this study reveal that the present deformed fermion model leads to an effective approach accounting for interaction and compositeness of quasiparticles, which have remarkable implications in many technological applications such as in nanomaterials.