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Chapter
Quantum Percolation in Disordered Structures
Many solids, such as alloys or doped semiconductors, form crystals consisting of two or more chemical species. In contrast to amorphous systems, they show a regular, periodic arrangement of sites but the diffe...
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Chapter
Numerical Solution of the Holstein Polaron Problem
Noninteracting itinerant electrons in a solid occupy Bloch one-electron states. Phonons are collective vibrational excitations of the crystal lattice. The basic electron-phonon (EP) interaction process is the ...
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Chapter and Conference Paper
Jacobi-Davidson Algorithm with Fast Matrix-Vector Multiplikation on Massively Parallel and Vector Supercomputers
The exact diagonalization of very large sparse matrices is a numerical problem common to various fields in science and engineering. We present an advanced eigenvalue alorithm - the so-called Jacobi-Davidson al...
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Chapter
The Phase Diagram of the 2D Holstein-t-J Model
The importance of both strong antiferromagnetic Coulomb correlations as well as strong electron-phonon (EP) interactions has become increasingly recognized as being essential in understanding the superconducti...
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Chapter
A Variational Slave Boson Approach to the Holstein-Hubbard Model
Research on the high-T c cuprates has focused, once again, interest on strongly coupled electron-phonon (EP) systems. Although it is widely believed that most o...
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Chapter and Conference Paper
Some remarks on the spin fluctuation theories for itinerant electrons