Hands on course on Dynamical Mean-Field Theory, implementation and extensions
Advanced course given by Massimo Capone, Adriano Amaricci
Start: 06-04-2020 End: 24-06-2020 Room: 131
Schedule: Mon 9:30 - 11:00, Tue 9:30 - 11:00, Wed 9:30 - 11:00
- Brief review of DMFT equations and approximation- (If interesting: Non-equilibrium DMFT)
- The simplest impurity solver: iterated perturbation theory. Brief derivation.- Hands-on implementation: Matsubara (FFT) and Real-space (fast convolutions)- IPT at work: the Mott transition.- Exact Diagonalization solver. General idea and scheme of the solver.- States representation, binary decomposition, operators.- (If needed: Lanczos method I: ground state determination)- Lanczos method II: Green’s functions calculation.- ED at work: Mott transition at zero temperature.- Long range ordering in DMFT: the antiferromagnetic case.- Real-Space extension of DMFT. Overview.- Applications to nano-systems: form benzene to graphene nano-flakes.- Elements of correlated quantum transport from DMFT.