428 citations · 2.8k across the 48 of their papers we have counts for
3 papers · 2 filters
Persistence of exponential decay and spectral gaps for interacting fermions
Wojciech de Roeck, Manfred Salmhofer
We consider systems of weakly interacting fermions on a lattice. The corresponding free fermionic system is assumed to have a ground state separated by a gap from the rest of the s…
Quantization of conductance in gapped interacting systems
Sven Bachmann, Alex Bols, Wojciech De Roeck +1
We provide a short proof of the quantisation of the Hall conductance for gapped interacting quantum lattice systems on the two-dimensional torus. This is not new and should be seen…
The adiabatic theorem and linear response theory for extended quantum systems
Sven Bachmann, Wojciech De Roeck, Martin Fraas
The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter . Under suit…