7 papers
The Colored Hofstadter Butterfly as a Many-Body Quantum Hall Phase Diagram
Giovanna Marcelli, Tadahiro Miyao, Domenico Monaco +2
We prove that the colored Hofstadter butterfly has a many-body interpretation for a broad class of weakly interacting lattice fermion systems. Starting from a spectral gap of a Hof…
Dynamics generated by spatially growing derivations on quasi-local algebras
Stefan Teufel, Marius Wesle, Tom Wessel
We prove global existence and uniqueness of dynamics on the quasi-local algebra of a quantum lattice system for spatially growing derivations $\mathcal{L}_Φ= \sum_x…
The generalized adiabatic theorem for extended lattice systems
Lennart Becker, Stefan Teufel, Marius Wesle
We prove an adiabatic theorem for infinitely extended lattice fermion systems with gapped ground states, allowing perturbations that may close the gap. The Heisenberg dynamics on t…
Automorphic equivalence within gapped phases of infinitely extended fermion systems
Lennart Becker, Stefan Teufel, Marius Wesle
We prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a s…
A note on Hall conductance and Hall conductivity in interacting Fermion systems
Stefan Teufel, Marius Wesle
In this note we consider lattice fermions on with a gapped ground state and show how to apply the NEASS approach to linear response to derive a formula for the Hall…
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems
Marius Wesle, Giovanna Marcelli, Tadahiro Miyao +2
We consider an infinitely extended system of fermions on a -dimensional lattice with (magnetic) translation-invariant short-range interactions. We further assume that the system…