## Problems of Condensed Matter PhysicsStoyan J. Vlaev, L. M. Gaggero-Sager The present book includes eight works on some contemporary problems of condensed matter physics. The choice of the topics reflects the scientific interest of the editors. We hope the book will find a wide circle of readers. Chapter 1 examines critically the studies of the quasiregular (quasiperiodic) heterostructures. The minimal basis of mathematical background required for a more rigorous characterization of spectra of quasiregular sequences is summarized and then the self-similarity and the fractal nature of the spectrum are discussed on this basis. Chapter 2 presents some new aspects of the empirical tight-binding model and its applications for semiconductor heterostructure calculations. The objective is to show how best to exploit the power and circumvent the limitations of the method as applied to heterostructure calculations. An introduction to the phenomenology of type II superconductivity and sandpile physics is given in Chapter 3. Key experiments on vortex avalanches performed in thelast five years are reviewed and some new experiments are suggested. Chapter 4 shows that the joint use of the surface Green function matching method and the full transfer matrix technique simplifies greatly the study of inhomogeneous media. As applications, the transverse elastic waves in finite Fibonacci superlattices are studied. Chapter 5 presents recent progress in understanding the physics of a novel class of one-dimensional ferrimagnetic Heisenberg systems composed of different antiferromagnetically coupled quantum spins in the elementary cell. Finite temperature properties of electron-phonon systems in semiconducting heterostructures are considered in Chapter 6. The long standingBoltzmann-Loschmidt polemic which confronts irreversible Thermodynamics with reversible Mechanics |

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### Contents

Tailoring Empirical TightBinding Models for Semiconductor | 39 |

Study of Many Interfaces and Inhomogeneous Systems | 127 |

Quantum Heisenberg Ferrimagnetic Chains | 145 |

Copyright | |

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amplitude analysis antiferromagnetic applied approximation avalanches band behavior bulk Cantor set chain classical consider correlation corresponding coupling coworkers critical crystal decay decoherence defined density diagram dispersion relation DMRG dynamics effective mass eigenvalues electron electron-phonon energy equation evolution experiment experimental ferrimagnetic ferrocene Figure finite flux creep flux jumps fractal GaAs Green function Hamiltonian Heisenberg heterostructure interaction interfaces lattice layer Lett light-hole linear macroscopic magnetic field magnon many-body Mechanics method nearest-neighbor no-spin-orbit observed obtained optical parameters particle perturbation phase phonon Phys physical pinning Polarization Echoes polaron potential problem properties pulse quantum chaos quasiparticle quasiregular region sample sandpile self-consistent calculation selfsimilarity sequence SGFM simple specific heat spectrum spin spin-orbit structure superlattices temperature theory thermal thermodynamic thermodynamical potential tight-binding models trace map transfer matrix transverse elastic waves values vortex vortex avalanches vortices wavevector zero