Research

I am interested in mathematical problems arising from condensed matter physics, specially related to charge and spin (topological) transport in quantum systems.

Publications and preprints:

• On the self-consistent Landauer-Büttiker formalism

H. D. Cornean, G. Marcelli. Accepted in Commun. Math. Phys. (2024).

• Adiabatic evolution of low-temperature many-body systems

R. L. Greenblatt, M. Lange, G. Marcelli, M. Porta. Commun. Math. Phys. (2024).

• Purely linear response of the quantum Hall current to space-adiabatic perturbations

G. Marcelli, D. Monaco. Lett. Math. Phys. (2022).

• From charge to spin: analogies and differences in quantum transport coefficients

G. Marcelli, D. Monaco. J. Math. Phys. (2022).

• Improved energy estimates for a class of time-dependent perturbed Hamiltonians

G. Marcelli. Lett. Math. Phys. (2022). 

• Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators

G. Marcelli, M. Moscolari, G. Panati. Ann. Henri Poincaré (2022).

• A new approach to transport coefficients in the quantum spin Hall effect

G. Marcelli, G. Panati, S. Teufel.  Ann. Henri Poincaré (2020).  Extended preprint at arXiv:2004.00956 .

• Spin conductance and spin conductivity in topological insulators: analysis of Kubo-like terms

G. Marcelli, G. Panati, C. Tauber.  Ann. Henri Poincaré (2019).

• The Haldane model and its localization dichotomy

G. Marcelli, D. Monaco, M. Moscolari, G. Panati. Rend. Mat. Appl. (2018).  Extended preprint at arXiv:1909.03298 .