2008/04/07 by Ryszard Piasecki, R. Piasecki, Piasecki, Ryszard · 1 citation
Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Boron and Carbon Nanomaterials Research #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.0804.1037
3 pages, 2 figures, title and abstract changed, Ref. [18] added, where also a closed form for DOS was derived prior to this paper
openalex publication_date 2008/04/07 · arxiv created 2008/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The closed analytical expression for the electron density of states function in a rectangular lattice is derived in an elementary way in terms of complete elliptic integrals of the first kind. The lattice can be treated as a deformed square lattice under uniform uniaxial stress (or strain). In contrast to hydrostatic case the uniaxial pressure, say along axis y, modifies a length of the y-bonds while the x-bonds remain intact. It also alters the corresponding tight-binding transfer integral gamma2 between two y-nearest-neighbours leaving unchanged the gamma1 for x-nn interactions. Due to stress-induced lowering symmetry of this simple model one can get an insight into the decoupling of its density of states on dependence of the lattice deformation or transfer integrals anisotropy.