Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Monaco, Domenico"'
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:
Ferrero, Margherita, Monaco, Domenico
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Volume 4 (September 17, 2024) ocnmp:13820
We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field. The derivation invokes the Dirac
Externí odkaz:
http://arxiv.org/abs/2406.15041
Autor:
Monaco, Domenico, Peluso, Gabriele
Publikováno v:
J. Math. Phys. 64(4), 041904 (2023)
We define a $\mathbb{Z}_2$-valued topological and gauge invariant associated to any 1-dimensional, translation-invariant topological insulator which satisfies either particle-hole symmetry or chiral symmetry. The invariant can be computed from the Be
Externí odkaz:
http://arxiv.org/abs/2303.08464
Autor:
Monaco, Domenico, Roussigné, Thaddeus
Publikováno v:
Journal of Mathematical Physics 64, 011902 (2023)
Motivated by recent developments in quantum simulation of synthetic dimensions, e.g. in optical lattices of ultracold atoms, we discuss here $d$-dimensional periodic, gapped quantum systems for $d \le 4$, with focus on the topology of the occupied en
Externí odkaz:
http://arxiv.org/abs/2210.04809
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
Publikováno v:
J. Math. Phys. 63, 041902 (2022)
We review Kitaev's celebrated "periodic table" for topological phases of condensed matter, which identifies ground states (Fermi projections) of gapped periodic quantum systems up to continuous deformations. We study families of projections which dep
Externí odkaz:
http://arxiv.org/abs/2201.01576
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
Autor:
Monaco, Domenico, Ulčakar, Lara
Publikováno v:
Phys. Rev. B 102, 125138 (2020)
We study the linear response of a spin current to a small electric field in a two-dimensional crystalline insulator with non-conserved spin. We adopt the spin current operator proposed in [J. Shi et al., Phys. Rev. Lett. 96, 076604 (2006)], which sat
Externí odkaz:
http://arxiv.org/abs/2006.12071
Autor:
Monaco, Domenico, Moscolari, Massimo
Publikováno v:
Reviews in Mathematical Physics, Vol. 32 (2020), 2060003
We consider a 2-dimensional Bloch--Landau--Pauli Hamiltonian for a spinful electron in a constant magnetic field subject to a periodic background potential. Assuming that the $z$-component of the spin operator is conserved, we compute the linear resp
Externí odkaz:
http://arxiv.org/abs/2002.02419
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