Non-equilibrium Green function approach to transport in many-body systems

Abstract: 

Understanding transport and out-of-equilibrium phenomena in many-body systems remains one of the central challenges in condensed matter physics and materials science. The Non-Equilibrium Green’s Function (NEGF) formalism provides a rigorous and versatile framework to describe quantum transport, dissipation, and correlation effects in systems driven away from equilibrium. In this talk, I will introduce the key ideas underlying NEGF techniques, emphasizing their ability to capture both coherent and incoherent processes in interacting systems. I will discuss how these methods can be combined with ab initio electronic structure calculations and model Hamiltonians to study charge, spin, and heat transport in nanoscale and strongly correlated materials. Particular attention will be given to how NEGF-based simulations can be directly compared with, and help interpret, experimental results on transport measurements — such as current–voltage characteristics, non-linear responses, and transient dynamics. By connecting theoretical insights with experimental observables, NEGF techniques offer a powerful bridge between microscopic quantum theory and measurable macroscopic transport properties.

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