Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Moscolari, Massimo"'
We show how the spectrum of normal discrete short-range infinite-volume operators can be approximated with two-sided error control using only data from finite-sized local patches. As a corollary, we prove the computability of the spectrum of such inf
Externí odkaz:
http://arxiv.org/abs/2403.19055
We prove that the bulk magnetization is equal to the edge current in the thermodynamic limit for a large class of models of lattice fermions with finite-range interactions satisfying local indistinguishability of the Gibbs state, a condition known to
Externí odkaz:
http://arxiv.org/abs/2403.17566
Autor:
Moscolari, Massimo, Panati, Gianluca
Publikováno v:
J. Math. Phys. 64, 071901 (2023)
We generalize Prodan's construction of radially localized generalized Wannier bases [E. Prodan, On the generalized Wannier functions. J. Math. Phys. 56(11), 113511 (2015)] to gapped quantum systems without time-reversal symmetry, including in particu
Externí odkaz:
http://arxiv.org/abs/2312.02307
In this paper we show that whenever a Gibbs state satisfies decay of correlations, then it is stable, in the sense that local perturbations influence the Gibbs state only locally, and it is local, namely it satisfies local indistinguishability. These
Externí odkaz:
http://arxiv.org/abs/2310.09182
Publikováno v:
J. Math. Phys. Vol.64, Issue 2 (2023)
We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use techniques from elliptic PDEs and integral operators, while their topol
Externí odkaz:
http://arxiv.org/abs/2208.02218
Publikováno v:
Phys. Rev. B 106 (2022), 155140
We present an algorithm for reliably and systematically proving the existence of spectral gaps in Hamiltonians with quasicrystalline order, based on numerical calculations on finite domains. We apply this algorithm to prove that the Hofstadter model
Externí odkaz:
http://arxiv.org/abs/2205.10622
We consider magnetic Schr\"odinger operators describing a quantum Hall effect setup both in the plane and in the half-plane. First, we study the structure and smoothness of the operator range of various powers of the half-plane resolvent. Second, we
Externí odkaz:
http://arxiv.org/abs/2201.08803
By extending the gauge covariant magnetic perturbation theory to operators defined on half-planes, we prove that for $2d$ random ergodic magnetic Schr\"odinger operators, the zero-temperature bulk-edge correspondence can be obtained from a general bu
Externí odkaz:
http://arxiv.org/abs/2107.13456
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
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