Marcello Porta

Publications and preprints:

• Dynamics of mean-field Fermi systems with nonzero pairing

S. Marcantoni, M. Porta, J. Sabin. Preprint.

• Adiabatic Evolution of Low-Temperature Many-Body Systems

R. L. Greenblatt, M. Lange, G. Marcelli and M. Porta. Comm. Math. Phys. (2023)

• Effective Dynamics of Extended Fermi Gases in the High-Density Regime

L. Fresta, M. Porta and B. Schlein. Comm. Math. Phys. 401, 1701–1751 (2023)

• Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems

V.  Mastropietro and M. Porta. Comm. Math. Phys. 395, 1097–1173 (2022)

• Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

       N. Benedikter,  M. Porta, B. Schlein, R. Seiringer. Arch. Rational Mech. Anal. (2023)

• Bosonization of fermionic many-body dynamics

       N. Benedikter, P. T. Nam, M. Porta, B. Schlein, R. Seiringer. Ann. H. Poincaré 23, 1725–1764 (2022)

• The dilute Fermi gas via Bogoliubov theory

       M. Falconi, E. L. Giacomelli, C. Hainzl, M. Porta. Ann. H. Poincaré 22, 2283–2353 (2021)

• Correlation Energy of a Weakly Interacting Fermi Gas

       N. Benedikter, P. T. Nam, M. Porta, B. Schlein, R. Seiringer. Invent. Math. 225, 885-979 (2021)

• Anomaly non-renormalization in interacting Weyl semimetals

       A. Giuliani, V. Mastropietro, M. Porta. Comm. Math. Phys. 384, 997–1060 (2021)

• A supersymmetric hierarchical model for weakly disordered 3d semimetals

       G. Antinucci, L. Fresta, M. Porta. Ann. H. Poincaré 21, 3499–3574 (2020)

• Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime

       N. Benedikter, P. T. Nam, M. Porta, B. Schlein, R. Seiringer. Comm. Math. Phys. 374, 2097-2150 (2020)

• On the correlation energy of interacting fermionic systems in the mean-field regime

       C. Hainzl, M. Porta, F. Rexze. Comm. Math. Phys. 374, 485-524 (2020)

• Quantization of the interacting Hall conductivity in the critical regime

       A. Giuliani, V. Mastropietro, M. Porta. J. Stat. Phys. (2019)

• Canonical Drude weight for non-integrable quantum spin chains

       V. Mastropietro, M. Porta. J. Stat. Phys. 172,  379-397 (2018)

• Spin Hall insulators beyond the Helical Luttinger model 

       V. Mastropietro, M. Porta. Phys. Rev. B 96, 245135 (2017)

• Universal edge transport in interacting Hall systems 

       G. Antinucci, V. Mastropietro, M. Porta. Comm. Math. Phys. 362, 295-359 (2018)

• Mean field evolution of fermions with Coulomb interaction 

       M. Porta, S. Rademacher, C. Saffirio, B. Schlein.  J. Stat. Phys. 166, 1345 (2017)

• Topological phase transitions and universality in the Haldane-Hubbard model

       A. Giuliani, I. Jauslin, V. Mastropietro, M. Porta. Phys. Rev. B 94, 205139 (2016)

• Universality of the Hall conductivity in interacting electron systems

       A. Giuliani, V. Mastropietro, M. Porta. Comm. Math. Phys. 349, 1107 (2017)

• Effective evolution equations from quantum dynamics

       N. Benedikter, M. Porta, B. Schlein. SpringerBriefs in Mathematical Physics 7, (2016)

• From the Hartree dynamics to the Vlasov equation

       N. Benedikter, M. Porta, C. Saffirio, B. Schlein. Arch. Rational Mech. Anal. 221, 273-334 (2016)

• Mean-field evolution of fermionic mixed states

       N. Benedikter, V, Jaksic, M. Porta, C. Saffirio, B. Schlein. Comm. Pure Appl. Math. 69, 2250-2303 (2016)

• Mean-field dynamics of fermions with relativistic dispersion

       N. Benedikter, M. Porta, B. Schlein. J. Math. Phys. 55, 021901 (2014)

• Mean-field evolution of fermionic systems

       N. Benedikter, M. Porta, B. Schlein. Comm. Math. Phys. 331, 1087-1131 (2014)

• Bulk-edge correspondence for two-dimensional topological insulators

       G. M. Graf, M. Porta. Comm. Math. Phys. 324, 851-895 (2013)

• Lattice quantum electrodynamics for graphene

       A. Giuliani, V. Mastropietro, M. Porta. Annals of Phys. 327, 461-511 (2012)

• Universality of conductivity in interacting graphene

       A. Giuliani, V. Mastropietro, M. Porta. Comm. Math. Phys. 311, 317-355 (2012)

• Absence of interaction corrections in the optical conductivity of graphene

       A. Giuliani, V. Mastropietro, M. Porta. Phys. Rev. B 83, 195401 (2011)

• Lattice gauge theory model for graphene

       A. Giuliani, V. Mastropietro, M. Porta. Phys. Rev. B 82, 121418(R) (2010)

• Borel summability of $\varphi^{4}_4$ planar theory via multiscale analysis

       M. Porta, S. Simonella. Rev. Math. Phys. 22, 995-1032 (2010)

• Anomalous behavior in an effective model of graphene with Coulomb interactions

       A. Giuliani, V. Mastropietro, M. Porta. Ann. H. Poincare 11:1409-1452 (2010)

• Fluctuation Theorem, non linear response and the regularity of time reversal symmetry

       M. Porta. Chaos 20, 023111 (2010).

Proceedings and reviews:

• Response functions of many-body condensed matter systems

       M. Porta, V. Mastropietro, A. Giuliani. Encyclopedia of Mathematical Physics.

• Mean field dynamics of interacting fermionic systems

       M. Porta. Proceedings of the QMath 13 conference (2017)

• Universality of charge transport in weakly interacting fermionic systems

       A. Giuliani, V. Mastropietro, M. Porta. Proceedings of the XVIII International Congress on Mathematical Physics (2015)

• Mean-field evolution of fermionic systems

       M. Porta. Séminaire Laurent Schwartz - EDP et applications, 331.3, 1-13 (2014-2015)

• Hartree-Fock dynamics for weakly interacting fermions

       N. Benedikter, M. Porta, B. Schlein. Proceedings of the QMath 12 conference (2014)