Marzari has contributed to four areas that have shaped modern computational
materials science: (1) the development and application of maximally localized Wannier functions, (2) the development of Koopmans-compliant and spectral functionals, (3) microscopic, first-principles theories of transport that bridge tunnelling, hydrodynamic and diffusive regimes, and (4) data-intensive materials discovery and open research infrastructures.
Maximally localized Wannier functions Marzari and
David Vanderbilt introduced the method of maximally localized
Wannier functions (MLWFs), widely used to analyse and model the electronic structure of solids and nanostructures, including the extension to entangled bands.
Koopmans spectral functionals Building on the idea that approximate DFT should satisfy a generalized ''Koopmans' condition'' (piecewise linearity of the total energy with respect to fractional occupations of any orbital), Marzari and collaborators introduced and developed Koopmans-compliant functionals—orbital-density–dependent functionals that correct self-interaction and deliver accurate spectral properties while retaining a variational total-energy framework. Subsequent work extended the approach to extended systems and periodic boundary conditions and led to a community software stack and benchmarks, establishing Koopmans functionals as a practical, accurate route to
quasiparticle spectra for molecules, solids and disordered phases.
Microscopic theories of transport In heat transport, Marzari's groups introduced relaxons—the exact kinetic eigenmodes that carry heat in crystals—clarifying hydrodynamic regimes and momentum-conserving scattering within the phonon
Boltzmann equation. They later derived, from the Wigner phase-space formulation of quantum mechanics, a unified transport equation that seamlessly recovers the Peierls (crystals) and Allen–Feldman (glasses) limits and the intermediate regimes. This framework led to a generalization of Fourier's law into viscous heat equations, introducing the notion of
thermal viscosity that governs fluid-like heat flow in the hydrodynamic regime. A subsequent article formalized the Wigner heat-transport equation and its foundations.
Open research infrastructures He has led the development of open, FAIR infrastructures for computational materials science and they application to data-intensive materials discovery; notably, AiiDA for workflows and provenance and the Materials Cloud for dissemination. == Selected publications ==