721 citations · 1.1k across the 9 of their papers we have counts for
10 papers
Intrinsic nonlinear Hall effect beyond Bloch geometry
Raffaele Resta
The theory of the intrinsic Hall effect, both linear and nonlinear, is rooted in a geometry which is defined in the Bloch-vector parameter space; the formal expressions are mostly…
Quantum geometry and adiabaticity in molecules and in condensed matter
Raffaele Resta
The adiabatic theorem states that when the time evolution of the Hamiltonian is "infinitely slow", a system, when started in the ground state, remains in the instantaneous ground s…
Nonadiabatic quantum geometry and optical conductivity
Raffaele Resta
The ground-state quantum geometry is at the root of several static and adiabatic properties, while genuinely dynamic properties are routinely addressed via Kubo formulae, whose ess…
Drude weight in presence of nonlocal potentials
Raffaele Resta
The nonlocal potential contributes an extra term to the velocity operator; I show here that such term affects the formal expression of the Drude weight in a nontrivial way. Notably…
Adiabatic observables and Berry curvatures in insulators and metals
Raffaele Resta
A sharp definition of what "adiabatic" means is given; it is then shown that the time-dependent expectation value of a quantum-mechanical observable in the adiabatic limit can be e…
The Insulating State of Matter: A Geometrical Theory
Raffaele Resta
In 1964 W. Kohn published the milestone paper "Theory of the insulating state'", according to which insulators and metals differ in their ground state. Even before the system is ex…