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Many intriguing dynamical effects in magnetism occur in geometrically confined systems, where the presence of closed boundaries leads to constraints on the magnetic moments. This, coupled with nonlinearity, allows various types of magnetic excitations such as solitons and vortices whose dynamics can be described with topological charges. These nonlinear excitations can also interact with the spin waves; especially important for describing a thermal equilibrium situation in a magnet. These charges may be probed and modified by applied magnetic pulses, and they may exhibit temperature dependencies. Such behaviour allows researchers to control and flip the topological charges at will so that they can be used as data bits. Confined magnetics also offer great promise for creating and manipulating the properties of composite media. Composites of magnetic or metallic particles in some nonmagnetic host material could be used to produce new supermaterials. Another interesting behaviour of confined magnetics is the presence of surface plasmon modes in fine metallic particles, and the interaction of a composite of such particles with electromagnetic radiation. In the book, Gary Wysin provides an overview of some model systems and their behaviour and effects.
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The aim of this advanced textbook is to provide the reader with a comprehensive explanation of the ground state configurations, the spin wave excitations and the equilibrium properties of spin lattices described by the Ising-Heisenberg Hamiltonians in the presence of short (exchange) and long range (dipole) interactions.The arguments are presented in such detail so as to enable advanced undergraduate and graduate students to cross the threshold of active research in magnetism by using both analytic calculations and Monte Carlo simulations.Recent results about unorthodox spin configurations suc
Magnetic resonance. --- Nuclear spin. --- Spin excitations. --- Spin waves. --- Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Waves, Spin --- Ferromagnetism --- Low temperatures --- Nuclear spin --- Excitations, Spin --- Nuclear excitation --- Spin, Nuclear --- Angular momentum (Nuclear physics) --- Nuclear physics --- Resonance, Magnetic --- Atoms --- Magnetic fields
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This thesis reports a major breakthrough in discovering the superconducting mechanism in CeCoIn5, the “hydrogen atom” among heavy fermion compounds. By developing a novel theoretical formalism, the study described herein succeeded in extracting the crucial missing element of superconducting pairing interaction from scanning tunneling spectroscopy experiments. This breakthrough provides a theoretical explanation for a series of puzzling experimental observations, demonstrating that strong magnetic interactions provide the quantum glue for unconventional superconductivity. Additional insight into the complex properties of strongly correlated and topological materials was provided by investigating their non-equilibrium charge and spin transport properties. The findings demonstrate that the interplay of magnetism and disorder with strong correlations or topology leads to complex and novel behavior that can be exploited to create the next generation of spin electronics and quantum computing devices.
Physics. --- Superconductivity. --- Superconductors. --- Nanoscale science. --- Nanoscience. --- Nanostructures. --- Quantum computers. --- Spintronics. --- Spectroscopy. --- Microscopy. --- Strongly Correlated Systems, Superconductivity. --- Nanoscale Science and Technology. --- Spectroscopy and Microscopy. --- Quantum Information Technology, Spintronics. --- Spin excitations. --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Materials --- Excitations, Spin --- Nuclear excitation --- Nuclear spin --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectrometry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Nanoscience --- Physics --- Nano science --- Nanoscale science --- Nanosciences --- Science --- Electric conductivity --- Critical currents --- Superfluidity --- Qualitative --- Analytical chemistry
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This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics. This manifests itself through topological choices for the fractional momentum spacings. The general model is derived by mapping exact models of quantized Hall states onto spin chains. The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.
Hamiltonian systems --- Quantum Hall effect --- Spin excitations --- Geometric quantization --- Mappings (Mathematics) --- Non-Abelian groups --- Particles (Nuclear physics) --- Mathematical physics --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Atomic Physics --- Applied Physics --- Mathematical models --- Physical mathematics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Groups, Non-Abelian --- Groups, Nonabelian --- Nonabelian groups --- Maps (Mathematics) --- Geometry, Quantum --- Quantization, Geometric --- Quantum geometry --- Excitations, Spin --- Quantised Hall effect --- Quantized Hall effect --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Mathematics --- Physics. --- Mathematical physics. --- Quantum physics. --- Solid state physics. --- Statistical physics. --- Dynamical systems. --- Quantum Physics. --- Solid State Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Mathematical Methods in Physics. --- Mathematical Physics. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Solids --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Thermodynamics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical methods --- Quantum theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Hamiltonian systems. --- Geometric quantization. --- Non-Abelian groups. --- Mathematical models. --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Geometry, Differential --- Quantum theory --- Nuclear excitation --- Nuclear spin --- Nuclear physics --- Group theory --- Hall effect --- Differentiable dynamical systems
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