Density of states of a 2-d square lattice in the tight-binding approximation

The density of states was calculated by taking 6.7 × 10⁶ evenly distrubuted points in the first Brillouin zone, calculating the energy of the points, and plotting the distribution of the resulting energies. Since there are 2 states per atom, the integral of the density of states over the whole band should be 2.

The Matlab file used to generate the density of states is squaredos.m.

The density of states is tabulated in eV^-1 atom^-1 and eV^-1 m^-2 below. The data in the right column can be copied and pasted into one to the pages that calculate the temperature dependence of thermodynamic quantities.

• Chemical potential μ
• Energy spectral density u(E)
• Internal energy density u(T)
• Specific heat c_v(T)