18 citations · 67 across the 12 of their papers we have counts for
13 papers
The conductivity matrix at the topological phase transition
Simone Fabbri, Giovanna Marcelli, Alessandro Giuliani
For a general class of two-dimensional non-interacting semi-metallic electron systems on a lattice, we derive an explicit formula for the whole conductivity matrix, by using Euclid…
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram
Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco +2
We prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hof…
Spin transport and lack of quantisation for time-reversal symmetric insulators on the honeycomb structure
Luca Fresta, Giovanna Marcelli
We investigate spin transport in a class of time-reversal symmetric insulators on the honeycomb structure, the Kane--Mele model being an emblematic example in this class. We derive…
Longitudinal conductivity at integer quantum Hall transitions
Giovanna Marcelli, Lorenzo Pigozzi, Marcello Porta
We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transit…
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems
Marius Wesle, Giovanna Marcelli, Tadahiro Miyao +2
We consider an infinitely extended system of fermions on a -dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system…
Adiabatic Evolution of Low-Temperature Many-Body Systems
Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli +1
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependen…
From charge to spin: analogies and differences in quantum transport coefficients
Giovanna Marcelli, Domenico Monaco
We review some recent results from the mathematical theory of transport of charge and spin in gapped crystalline quantum systems. The emphasis will be in transport coefficients lik…
Purely linear response of the quantum Hall current to space-adiabatic perturbations
Giovanna Marcelli, Domenico Monaco
Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost stationary state, we give a new proof that the K…
Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
Giovanna Marcelli, Massimo Moscolari, Gianluca Panati
We investigate the relation between the localization of generalized Wannier bases and the topological properties of two-dimensional gapped quantum systems of independent electrons…
A new approach to transport coefficients in the quantum spin Hall effect
Giovanna Marcelli, Gianluca Panati, Stefan Teufel
We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator does not commute with the spin…
The Haldane model and its localization dichotomy
Giovanna Marcelli, Domenico Monaco, Massimo Moscolari +1
Gapped periodic quantum systems exhibit an interesting Localization Dichotomy, which emerges when one looks at the localization of the optimally localized Wannier functions associa…
Improved energy estimates for a class of time-dependent perturbed Hamiltonians
Giovanna Marcelli
We consider time-dependent perturbations which are relatively bounded with respect to the square root of an unperturbed Hamiltonian operator, and whose commutator with the latter i…
Spin Conductance and Spin Conductivity in Topological Insulators: Analysis of Kubo-like terms
Giovanna Marcelli, Gianluca Panati, Clément Tauber
We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index w…