64 citations · 101 across the 5 of their papers we have counts for
4 papers
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…
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…
What is between Fermi-Dirac and Bose-Einstein Statistics?
Krzysztof Byczuk, Jozef Spalek, Geoffrey Joyce +1
We overwiev the properties of a quantum gas of particles with the intermediate statistics defined by Haldane. Although this statistics has no direct connection to the symmetry of t…
Theory of superconducting fluctuations in the thinest carbon nanotubes
Krzysztof Byczuk
The low-energy electronic Hamiltonian for the thinest zigzag carbon nanotube, embedded into a dielectric host, is derived and its phase diagram is discussed. The specific multi-ban…