#### Filter Results:

#### Publication Year

2006

2016

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

To describe the interaction of molecular vibrations with electrons at a quantum dot contacted to metallic leads, we extend an analytical approach that we previously developed for the many-polaron problem. Our scheme is based on an incomplete variational Lang-Firsov transformation, combined with a perturbative calculation of the electron-phonon self-energy… (More)

We study Chebyshev filter diagonalization as a tool for the computation of many interior eigenvalues of very large sparse symmetric matrices. In this technique the subspace projection onto the target space of wanted eigenvectors is approximated with high-order filter polynomials obtained from a regularized Chebyshev expansion of a window function. After a… (More)

- Gerhard Wellein, J M Röhrig-Zöllner, M Thies, A Kreutzer, A Alvermann, A Pieper +26 others
- 2015

Chip-level and multi-node analysis of energy-optimized lattice-Boltzmann CFD simulations Exploring performance and power properties of modern multicore chips via simple machine models Dot-bound and dispersive states in graphene quantum dot superlattices

—The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization potential and feasibility of peta-scale heterogeneous CPU-GPU implementations of the KPM. At the node level we show… (More)

- A Alvermann, H Fehske
- 2009

We discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium. The method is based on the solution of operator equations of motion, using efficient Chebyshev time propagation techniques. Its peculiar feature is the propagation of operators backwards in time. In this way the resource consumption scales linearly with the… (More)