Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Panati, Gianluca"'
Autor:
Rossi, Vincenzo, Panati, Gianluca
With the aim of understanding the localization topology correspondence for non periodic gapped quantum systems, we investigate the relation between the existence of an algebraically well-localized generalized Wannier basis and the topological trivial
Externí odkaz:
http://arxiv.org/abs/2407.14235
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
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:
Moscolari, Massimo, Panati, Gianluca
Publikováno v:
Acta Applicandae Mathenaticae (Online First 2019)
We investigate the relation between broken time-reversal symmetry and localization of the electronic states, in the explicitly tractable case of the Landau model. We first review, for the reader's convenience, the symmetries of the Landau Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1902.02101
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
Autor:
Pinna, Lorenzo, Panati, Gianluca
Publikováno v:
Journal of Mathematical Physics 59, 072101 (2018)
We investigate the controllability of the Jaynes-Cummings dynamics in the resonant and nearly resonant regime. We analyze two different types of control operators acting on the bosonic part, corresponding - in the application to cavity QED - to an ex
Externí odkaz:
http://arxiv.org/abs/1712.05666
Publikováno v:
Phys. Rev. B 95, 075114 (2017)
We propose an algorithm to determine Maximally Localized Wannier Functions (MLWFs). This algorithm, based on recent theoretical developments, does not require any physical input such as initial guesses for the Wannier functions, unlike popular scheme
Externí odkaz:
http://arxiv.org/abs/1605.07201
Autor:
Monaco, Domenico, Panati, Gianluca
Publikováno v:
Acta Appl. Math. 137, 185-203 (2015)
We describe some applications of group- and bundle-theoretic methods in solid state physics, showing how symmetries lead to a proof of the localization of electrons in gapped crystalline solids, as e.g. insulators and semiconductors. We shortly revie
Externí odkaz:
http://arxiv.org/abs/1601.02906