428 citations · 2.8k across the 48 of their papers we have counts for
4 papers · 1 filter
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…
Many-body delocalization as a quantum avalanche
Thimothée Thiery, François Huveneers, Markus Müller +1
We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase,…
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…