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The present collection of articles focuses on different aspects of topological-materials studies. Recent progress in both, theoretical and experimental, studies is covered in this Special Issue. A particular stress is given on different optical investigations, as well as on recent band-structure calculations. Besides, neutron scattering experiments, crystal growth, and a number of theoretical models for different topological systems are discussed.

Research & information: general --- Physics --- topological insulators --- optical conductivity --- Dirac materials --- Weyl nodes --- screw rotation symmetry --- line node --- space group 19 --- space group 61 --- cyclotron resonance --- crystal growth --- optical floating zone method --- SmB6 --- Sm1-xCexB6 --- topological insulator --- kondo insulator --- topology --- chirality --- multifold semimetal --- optics --- DFT --- topological semimetal --- cobalt monosilicide --- mechanical deformation --- quantum anomalous Hall effect --- Faraday rotation --- terahertz spectroscopy --- inelastic neutron scattering --- topological materials --- anomalous Hall effect --- isotropic ferromagnet --- kagome --- frustrated magnetism --- skyrmion --- magnetization --- optical-conductivity scaling --- topological semimetals --- band structures --- high Chern numbers --- bulk-edge correspondence --- Weyl semimetals --- band-structure calculations --- optical response --- n/a

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The present collection of articles focuses on different aspects of topological-materials studies. Recent progress in both, theoretical and experimental, studies is covered in this Special Issue. A particular stress is given on different optical investigations, as well as on recent band-structure calculations. Besides, neutron scattering experiments, crystal growth, and a number of theoretical models for different topological systems are discussed.

Research & information: general --- Physics --- topological insulators --- optical conductivity --- Dirac materials --- Weyl nodes --- screw rotation symmetry --- line node --- space group 19 --- space group 61 --- cyclotron resonance --- crystal growth --- optical floating zone method --- SmB6 --- Sm1-xCexB6 --- topological insulator --- kondo insulator --- topology --- chirality --- multifold semimetal --- optics --- DFT --- topological semimetal --- cobalt monosilicide --- mechanical deformation --- quantum anomalous Hall effect --- Faraday rotation --- terahertz spectroscopy --- inelastic neutron scattering --- topological materials --- anomalous Hall effect --- isotropic ferromagnet --- kagome --- frustrated magnetism --- skyrmion --- magnetization --- optical-conductivity scaling --- topological semimetals --- band structures --- high Chern numbers --- bulk-edge correspondence --- Weyl semimetals --- band-structure calculations --- optical response --- topological insulators --- optical conductivity --- Dirac materials --- Weyl nodes --- screw rotation symmetry --- line node --- space group 19 --- space group 61 --- cyclotron resonance --- crystal growth --- optical floating zone method --- SmB6 --- Sm1-xCexB6 --- topological insulator --- kondo insulator --- topology --- chirality --- multifold semimetal --- optics --- DFT --- topological semimetal --- cobalt monosilicide --- mechanical deformation --- quantum anomalous Hall effect --- Faraday rotation --- terahertz spectroscopy --- inelastic neutron scattering --- topological materials --- anomalous Hall effect --- isotropic ferromagnet --- kagome --- frustrated magnetism --- skyrmion --- magnetization --- optical-conductivity scaling --- topological semimetals --- band structures --- high Chern numbers --- bulk-edge correspondence --- Weyl semimetals --- band-structure calculations --- optical response

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With this book, we wish to honor the lifework of K. Alex Müller and present him with this book on the occasion of his 94th birthday. We are convinced that he will very much enjoy reading it. We would like to thank all contributors to this book, who addressed topics complementary and related to his work. The articles of the book represent the efforts in solid state physics – spanning more than 60 years – which have been groundbreaking in scientific and applied sciences. Many of the current hot topics are derived from this earlier work which has pioneered the way toward new experimental tools and/or refined techniques. From this point of view, the book presents, on one hand, a historical review and, on the other hand, a directory of possible future research.

ferroelastic --- WO3 --- polarons --- polaronic superconductivity --- transition metal dichalcogenides --- magnetic semiconductor spintronics --- n/a --- transition metal oxides --- lattice–spin–charge landscapes --- elasticity --- superconductivity --- cuprates --- magnetic penetration depth --- order parameter --- superconducting gap structure --- Kondo effect --- spin relaxation rate --- magnetic resonance --- strontium titanate --- quantum paraelectricity --- quantum fluctuations --- ferroelectricity --- isotope exchange --- external stress --- polar metal --- phase coexistence --- magnetoelectric multiglass --- Electron Paramagnetic Resonance (EPR) --- ENDOR --- Jahn-Teller --- color centers --- 3d impurities --- perovskite --- SrTiO3 --- 18O --- isotope substitution --- SrTiO3/LaAlO3 --- interface --- heterostructure --- tungsten oxide --- phase separation --- cuprate superconductors --- electronic correlations --- NMR --- pseudogap --- perovskite crystals --- Pseudo-Jahn-Teller effect --- multiferroicity --- permittivity --- flexoelectricity --- polar nanoregions --- orientational polarization --- LSCO --- anti-Jahn-Teller effect --- first-principles calculation --- Kamimura-Suwa model --- spin-polarized band --- Hund’s coupling spin-triplet and spin-singlet multiplets --- high-temperature superconductivity --- correlated Femi liquid --- charge density wave --- fluctuation --- strange metal --- coherence length --- granular superconductivity --- Mott transition --- BCS–BEC cross-over --- electron-phonon interaction --- topological insulator --- topological materials --- transition metal dichalcogenide --- helium atom scattering --- perovskite oxides --- phase transitions --- high-temperature cuprate superconductors --- lattice-spin-charge landscapes --- Hund's coupling spin-triplet and spin-singlet multiplets --- BCS-BEC cross-over