Density of electron states in a rectangular lattice under uniaxial stress

Details Density of electron states in a rectangular lattice under uniaxial stress Density of electron states in a rectangular lattice under uniaxial stress

2008-04-07

arxiv.org/abs/0804.1037v2

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 2 figures, title and abstract changed, Ref. [18] added, where also a closed form for DOS was derived prior to this pa

Scientific paper

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.

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