Towards the Limits of present-day Supercomputers: Exact Diagonalization of Strongly Correlated Electron-Phonon Systems

Gerhard Wellein and Holger Fehske
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Gerhard Wellein: Universität Erlangen, Regionales Rechenzentrum Erlangen
Holger Fehske: Universität Bayreuth, Physikalisches Institut

A chapter in High Performance Computing in Science and Engineering ’99, 2000, pp 112-129 from Springer

Abstract: Abstract The problem of describing lattice dynamical effects in electronically low-dimensional highly correlated systems, such as, e.g., the quasi-1D charge-density wave and spin-Peierls materials or the quasi-2D high-T c superconductors, has been a challenge to solid state physicists for a long time. At present, perhaps the only realible results come from purely numerical finite-lattice calculations. Employing the Lanczos algorithm in combination with a kernel polynomial moment expansion and the maximum entropy method on massive parallel computers, we show a way of calculating ground-state and spectral properties for models of electrons or spins strongly interacting with quantum phonons.

Keywords: Optical Conductivity; Maximum Entropy Method; Spectral Weight; Matrix Vector Multiplication; Lanczos Algorithm (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59686-5_11

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DOI: 10.1007/978-3-642-59686-5_11

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