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Quantum Hall effect. --- Quantised Hall effect --- Quantized Hall effect --- Hall effect --- Quantum theory

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Quantum mechanics. Quantumfield theory --- Electrical engineering --- Quantised Hall effect --- Quantized Hall effect --- Quantum Hall effect. --- Quantum Hall effect --- Semiconductors --- opto-elektronica --- 538.93 --- 538.93 Transport processes (except in quantum liquids and solids) --- Transport processes (except in quantum liquids and solids) --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electronics --- Solid state electronics --- Hall effect --- Quantum theory --- Materials --- Semiconductors. --- Quantum hall effect

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The book presents a comprehensive yet concise introduction to the physics of two-dimensional electron systems in the quantum Hall regime, as well as an up-to-date overview of the current fields of research concerning the integer and fractional quantum Hall effect. The physics of two-dimensional electron systems at low temperatures and high magnetic fields are governed by the formation of discrete energy levels referred to as Landau levels. These narrow energy bands not only form the basis of the well-known quantum Hall effect but also promote strong interactions between the electrons, giving rise to some of the finest manifestations of many-body physics in solid state science. Examples include skyrmionic spin textures, ferromagnetic spin transitions, stripe and bubble phases, as well as fractional quantum Hall states with potential non-abelian exchange statistics. The thesis succeeds in profoundly deepening our understanding of these exotic states of matter, with a main focus on the density-modulated phases in the quantum Hall regime. These phases arise from the interplay of competing interactions and are characterized by a self-organized ordering of electrons in spatial patterns. Similar phases of matter are currently being studied in other material systems as well, most notably in high-temperature superconductors. The thesis stands out not only in terms of its contribution to improving readers’ grasp of physics, but also in the diversity and novelty of the measurement techniques employed, which take advantage of the interaction between the electrons and the surrounding crystal lattice.

Physics. --- Quantum physics. --- Surfaces (Physics). --- Interfaces (Physical sciences). --- Thin films. --- Quantum computers. --- Spintronics. --- Quantum Information Technology, Spintronics. --- Surface and Interface Science, Thin Films. --- Quantum Physics. --- Quantum Hall effect. --- Nuclear spin. --- Spin, Nuclear --- Quantised Hall effect --- Quantized Hall effect --- Angular momentum (Nuclear physics) --- Nuclear physics --- Hall effect --- Quantum theory --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Surfaces (Technology) --- Coatings --- Thick films --- Surface chemistry --- Surfaces (Physics) --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers

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Superconductivity is the most striking phenomenon in solid state physics. The electrical resistance normally arising from impurities and the phonons in a metal suddenly drops to zero below a critical temperature Tc. Not all elemental metals show superconductivity, which suggests that the phenomenon depends on the lattice structure and Fermi surface. The cause of the superconductivity is found to be the phonon-exchange attraction. Quantum Theory of Conducting Matter: Superconductivity targets scientists, researchers and second-year graduate-level students focused on experimentation in the field of condensed matter physics, solid state physics, superconductivity and the Quantum Hall Effect. Many worked out problems are included in the book to aid the reader's comprehension of the subject. The following superconducting properties are covered and microscopically explained in this book: zero resistance Meissner effect flux quantization Josephson effect excitation energy gap Shigeji Fujita and Kei Ito are authors of Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron, predecessor to this book on superconductivity.

Quantum Hall effect. --- Superconductivity. --- Superconductivity --- Quantum Hall effect --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Electricity & Magnetism --- Quantised Hall effect --- Quantized Hall effect --- Physics. --- Quantum physics. --- Optics. --- Electrodynamics. --- Elementary particles (Physics). --- Quantum field theory. --- Quantum optics. --- Quantum computers. --- Spintronics. --- Optics and Electrodynamics. --- Quantum Physics. --- Quantum Information Technology, Spintronics. --- Elementary Particles, Quantum Field Theory. --- Quantum Optics. --- Hall effect --- Quantum theory --- Electric conductivity --- Critical currents --- Superfluidity --- Quantum theory. --- Classical Electrodynamics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Optics --- Photons --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Dynamics --- Light

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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