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Adiabatic currents for interacting electrons on a lattice | | Domenico Monaco
; Stefan Teufel
; | | Date: |
6 Jul 2017 | | Abstract: | We prove an adiabatic theorem for general densities of quasi-local
observables in finite systems of interacting fermions, without periodicity
assumptions on the Hamiltonian and with error estimates that are uniform in the
size of the system. Our result provides an adiabatic expansion to all orders,
in particular, also for initial data that lie in eigenspaces of degenerate
eigenvalues.
As one important application of this adiabatic theorem, we provide the first
rigorous derivation of the so-called linear response formula for the current
density induced by an adiabatic change of the Hamiltonian of a system of
interacting fermions in a ground state, with error estimates uniform in the
system size. We also discuss the application to quantum Hall systems. | | Source: | arXiv, 1707.1852 | | Services: | Forum | Review | PDF | Favorites | |
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