64 citations · 82 across the 2 of their papers we have counts for
2 papers
cond-mat.str-el2005★ 18 cited
Green functions for nearest- and next-nearest-neighbor hopping on the Bethe lattice
M. Kollar, M. Eckstein, K. Byczuk +8
We calculate the local Green function for a quantum-mechanical particle with hopping between nearest and next-nearest neighbors on the Bethe lattice, where the on-site energies may…
cond-mat.str-el2004★ 64 cited
Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory
Martin Eckstein, Marcus Kollar, Krzysztof Byczuk +1
We derive an operator identity which relates tight-binding Hamiltonians with arbitrary hopping on the Bethe lattice to the Hamiltonian with nearest-neighbor hopping. This provides…