(Solved): Problem 3. (3 pts) Write down the tight-binding Hamiltonian for a bodycentered cubic lattice with ...

Problem 3. (3 pts) Write down the tight-binding Hamiltonian for a bodycentered cubic lattice with lattice constant a. Assume coupling amplitudes of \( t \) for all non-diagonal couplings, and \( t^{\prime} \) for all diagonal couplings. Then solve for its energy dispersion i.e. band structure. Figure 1: One unit cell of a body-centered cubic lattice. Note that the all the corner atoms are actually the "same" one, up to translations of one lattice constant.