Density of electron states in a rectangular lattice under uniaxial stress
| dc.creator | Piasecki, Ryszard | |
| dc.date | 2008-04-07 | |
| dc.date | 2008-04-30 | |
| dc.date.accessioned | 2026-07-07T09:35:46Z | |
| dc.date.available | 2026-07-07T09:35:46Z | |
| dc.description | 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 gamma_2 between two y-nearest-neighbours leaving unchanged the gamma_1 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. | |
| dc.description | 3 pages, 2 figures, title and abstract changed, Ref. [18] added, where also a closed form for DOS was derived prior to this paper | |
| dc.identifier | https://arxiv.org/abs/0804.1037 | |
| dc.identifier | http://arxiv.org/abs/0804.1037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159938 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Density of electron states in a rectangular lattice under uniaxial stress | |
| dc.type | text |