4 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…
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…
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…