Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Marcelli, Giovanna"'
We consider an infinitely extended system of fermions on a $d$-dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system has a unique gapped ground state. Physically, this is a model for the
Externí odkaz:
http://arxiv.org/abs/2411.06967
Autor:
Cornean, Horia D., Marcelli, Giovanna
Publikováno v:
Commun. Math. Phys. 405, 224 (2024)
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition
Externí odkaz:
http://arxiv.org/abs/2309.01564
Publikováno v:
Commun. Math. Phys. 405, 75 (2024)
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-dependent perturbation. Under suitable assumptions on the external driving, we
Externí odkaz:
http://arxiv.org/abs/2211.16836
Autor:
Marcelli, Giovanna, Monaco, Domenico
Publikováno v:
Journal of Mathematical Physics 63, 072102 (2022)
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 like conductivities and conductances. As for the former, those are comput
Externí odkaz:
http://arxiv.org/abs/2203.08044
Autor:
Marcelli, Giovanna, Monaco, Domenico
Publikováno v:
Letters in Mathematical Physics, volume 112, Article number: 91 (2022)
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 Kubo formula for the Hall conductivity remains valid beyond the linear
Externí odkaz:
http://arxiv.org/abs/2112.03071
Publikováno v:
Ann. Henri Poincar\'e, 24, 895-930 (2023)
We investigate the relation between the localization of generalized Wannier bases and the topological properties of two-dimensional gapped quantum systems of independent electrons in a disordered background, including magnetic fields, as in the case
Externí odkaz:
http://arxiv.org/abs/2012.14407
Publikováno v:
Ann. Henri Poincare' 22, 1069-1111 (2021)
We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator $H_0$ does not commute with the spin operator in view of Rashba interactions, as in the typical models for
Externí odkaz:
http://arxiv.org/abs/2004.00956
Publikováno v:
Rend. Mat. Appl. 39, 307-327 (2018)
Gapped periodic quantum systems exhibit an interesting Localization Dichotomy, which emerges when one looks at the localization of the optimally localized Wannier functions associated to the Bloch bands below the gap. As recently proved, either these
Externí odkaz:
http://arxiv.org/abs/1909.03298
Autor:
Marcelli, Giovanna
Publikováno v:
Letters in Mathematical Physics 112, 51 (2022)
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 is controlled by the full perturbed Hamiltonian. The perturbation is mo
Externí odkaz:
http://arxiv.org/abs/1904.11300
Publikováno v:
Annales Henri Poincare 20 (6), 2071-2099 (2019)
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 which characterizes 2d time-reversal-symmetric topological insulators.
Externí odkaz:
http://arxiv.org/abs/1801.02611