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- Field Theories in Condensed Matter Physics | Taylor & Francis Group.
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Events Categories. Quantum Information and Quantum Computation. Entanglement Probes of Quantum Critical Phenomena. Topological Kondo Effect in Majorana Devices. To be announced. Transport effects in Majorana wires. Cold atom simulation of gauge theories. David Campbell Invited speaker Boston University.
The Remarkable Bose-Hubbard Dimer. Topological Phases of Matter. Ady Stern Invited speaker Weizmann Institute. Add to Cart. The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires.
School Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory
While concepts such as the renormalization group, topology, and bosonization have become necessary tools for the condensed matter physicist, enough open problems and interesting applications remain to drive much activity in this area in the coming years. Field Theories in Condensed Matter Physics presents a comprehensive survey of the concepts, techniques, and applications of the field.
Written by experts and carefully edited, the book provides the necessary background for graduate students entering the area of modern condensed matter physics. It also supplies field theorists with a valuable introduction to the areas in condensed matter physics where field theoretic concepts can be fruitfully applied.
Lecture Notes On Field Theory In Condensed Matter Physics Solid-State Physics
The text can also help physicists studying the topics from the textbooks, who need some guide without being lost amidst the tedious lengthy calculations. The system has one electron per site and therefore in the tight binding approximation, it would be a metal. However, the interaction of the electrons with the lattice changes the situation. This interaction is of the form. If we integrate over f we obtain the familiar simple Gross-Neveu model.
María A. H. Vozmediano
Shifting f around any of these minima, according to 2 would lead to the dynamical generation of a mass for the y field or, equivalently, to the generation of a gap for the electrons, thereby explaining the insulating character of polyacethilene. This is the so called Peierls mechanism, which in field theory language corresponds to the dynamical mass generation which is used, for instance in the Weiberg-Salam-Glashow unified theory for the weak and electromagnetic interactions.
There are soliton solutions interpolating the two minima of the effective f potential. These are defects on the polymer lattice. Confinement is one of the most interesting phenomena in physics. It has remained somewhat mysterious for some time even though quarks can be observed inside hadrons exactly in the same way nuclei have been observed inside atoms through the scattering experiments performed by Rutherford and collaborators in the beginning of the century.
In condensed matter, however, there is a phenomenon closely related to confinement. This is the well known Meissner effect occurring in type II superconductors. In these, an applied magnetic field is expelled from the bulk material, except for a number of magnetic fluxes confined in tubes.
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A pair of magnetic monopoles placed on the extremities of these tubes would be confined exactly as quarks inside a hadron because the potential corresponding to such flux tubes rises linearly with the distance. Hence, we may understand quark confinement in QCD as a dual Meissner effect. These two relations are valid for large S. In this language, the continuous field theory corresponding to the Heisenberg antiferromagnet is described by the lagrangian density in two spatial dimensions [5, 6].
The CP 1 -nonlinear sigma model possesses classical topologically nontrivial solutions called skyrmions . This means that, in the CP 1 language, the skyrmions are m -"magnetic" vortices. We now propose a model for the process of doping. The dopant dispersion relation corresponding to 5. The spin of the dopants is. This suggests, accordingly, the minimal coupling of the dopants to m , introduced in 5. The above constraint can be implemented by integration over a vector Lagrange multiplier field l m coupled as. A similar situation occurs in polyacethilene where the doping process produces the formation of soliton defects on the chain .
Evaluation of the skyrmion correlation function allows one to extract the skyrmion energy as a function of the doping parameter :. The only remaining input is the dopant lattice spacing.
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Experimental evidence [14, 1, 2] indicates that the doped holes go into the oxygen p-orbitals. Entering these data and the numerical value of g in 5. We conclude that our field theory model provides a good description for the normal antiferromagnetic phase of high-temperature superconductors. We are presently investigating extensions of the model to describe higher doped phases. We conclude that nowadays condensed matter is one of the most important areas of application of quantum field theory.
There are many examples where the interaction has been intense with many mutual benefits. Additional systems not mentioned here where interesting applications have been made are: quantum Hall effect, vortices in superconductors and superfluids, magnetic systems among others.
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