The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. consists two atoms per unit cell describes in-cell out-of-cell electron-hopping between sub-lattices. It among the simplest models exhibiting non-trivial topological phase; to SSH one can associate winding number, Zak phase, which depends on ratio ...

We present a tight-binding model which goes beyond the traditional two-center approximation and allows the hopping parameters and the repulsive energy to be dependent on the binding environment. Using carbon as an example, we show that the approach improves remarkably the transferability of the tight-binding model. The properties of the higher-coordinated metallic structures are well described ...

In this work we implement a tight-binding calculation of the energy bands of silicon. This traditional method is still employed as a useful approximation for the electronic motion in solids. The tight-binding wavefunctions are taken as linear combinations of atomic orbitals located at each atom in the crystal, based on phase factors e(ik·R) (R are the position of such atoms) for coefficients. T...

Amorphous diamond structures with more than 97% of sp3 bonding fraction are generated by quenching liquid carbon using tight-binding molecular-dynamics simulations. The electronic and vibrational properties the amorphous sample investigated.