21 citations · 68 across the 10 of their papers we have counts for
4 papers · 1 filter
Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension
Leon Bollmann, Peter Müller
We prove a logarithmically enhanced area law for all Rényi entanglement entropies of the ground state of a free gas of relativistic Dirac fermions. Such asymptotics occur in any di…
Percolation Hamiltonians
Peter Müller, Peter Stollmann
There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this…
A lower bound for the density of states of the lattice Anderson model
Peter D. Hislop, Peter Müller
We consider the Anderson model on the multi-dimensional cubic lattice and prove a positive lower bound on the density of states under certain conditions. For example, if the random…
Continuous integral kernels for unbounded Schroedinger semigroups and their spectral projections
Kurt Broderix, Hajo Leschke, Peter Müller
By suitably extending a Feynman-Kac formula of Simon [Canadian Math. Soc. Conf. Proc, 28 (2000), 317-321], we study one-parameter semigroups generated by (the negative of) rather g…