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Chebyshev approach to quantum systems coupled to a bath
Andreas Alvermann, Holger Fehske
We propose a new concept for the dynamics of a quantum bath, the Chebyshev space, and a new method based on this concept, the Chebyshev space method. The Chebyshev space is an abst…
Optical conductivity of polaronic charge carriers
Jan Loos, Martin Hohenadler, Andreas Alvermann +1
The optical conductivity of charge carriers coupled to quantum phonons is studied in the framework of the one-dimensional spinless Holstein model. For one electron, variational dia…
Many-polaron problem by cluster perturbation theory
Martin Hohenadler, Gerhard Wellein, Andreas Alvermann +1
The carrier-density dependence of the photoemission spectrum of the Holstein many-polaron model is studied using cluster perturbation theory combined with an improved cluster diago…
Optical absorption and activated transport in polaronic systems
G. Schubert, G. Wellein, A. Weiße +2
We present exact results for the optical response in the one-dimensional Holstein model. In particular, by means of a refined kernel polynomial method, we calculate the ac and dc e…
Local distribution approach to disordered binary alloys
Andreas Alvermann, Holger Fehske
We study the electronic structure of the binary alloy and (quantum) percolation model. Our study is based on a self-consistent scheme for the distribution of local Green functions.…
Characterisation of Anderson localisation using distributions
A. Alvermann, G. Schubert, A. Weisse +2
We examine the use of distributions in numerical treatments of Anderson localisation and supply evidence that treating exponential localisation on Bethe lattices recovers the overa…