2 edition of Quantum mechanics in low-dimensional spin systems found in the catalog.
Quantum mechanics in low-dimensional spin systems
Carol Ann Hayward
Thesis (Ph.D) - University of Birmingham, School of Physics.
|Statement||by Carol Ann Hayward.|
Full Description: "This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. General Quantum Systems 25 Postulates 27 Summary 28 Problems 29 New Directions—Low-Dimensional Carbon Contents xiii Activities Further Reading 16 Modern Applications of Quantum Mechanics Manipulating Atoms with Quantum Mechanical Forces Magnetic Trapping Laser Cooling
Abstract. In the introduction to his paper on many-electron systems (Dirac, Proc R Soc Lond Ser A, , , ), Dirac envisioned that the two problems facing quantum mechanics were “in connection with the exact fitting in of the theory with relativity ideas” on the one hand, and the fact that “the exact application of these laws leads to equations much too complicated to be Author: Laurens Vanderstraeten. The past few decades of research and development in solid-state semicon ductor physics and electronics have witnessed a rapid growth in the drive to exploit quantum mechanics in the design and function of semiconductor devices. This has been fueled for instance by the remarkable advances in our ability to fabricate nanostructures such as quantum wells, quantum wires and quantum dots.3/5(2).
These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. quantum systems it may seem that working on problems at such low dimensionalities is completely irrelevant to three-dimensionalreality. However, there are in fact manyreasons for working in low-dimensional physics, in both statistical mechanics and other ﬁelds. First, restricting the study to one dimension continues to.
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Low-dimensional systems are considered: quasi-two-dimensional structures- quantum wells, quasi-one-dimensional ones — quantum wires and quasi-zero-dimensional ones — quantum dots. The quantum-mechanical phenomena in such systems is discussed and effects of.
Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases.
The author presents a comprehensive study of a low-dimensional spin-half quantum antiferromagnet (the J-Q model) in the presence of a magnetic field in both one and two dimensions, demonstrating the causes of metamagnetism in such systems and providing direct evidence of fractionalized excitations near the deconfined quantum critical cturer: Springer.
This book is mainly devoted to the investigation of two low-dimensional spin systems with spin-lattice coupling. In the former part, we focus on the role of coupling between spins and adiabatic phonons and of competitive interactions in stabilizing magnetization plateaus in.
Quantum mechanics transcends and supplants classical mechanics at the atomic and subatomic levels. It provides the underlying framework for many subfields of physics, chemistry and materials science, including condensed matter physics, atomic physics, molecular physics, quantum chemistry, particle physics, and nuclear physics.
Low-dimensional quantum spin systems are interacting many body systems for which several rigorous results are known. Powerful techniques like the Bethe Ansatz provide exact knowledge of the ground state energy and low-lying excitation spectrum. A large number of compounds exists which can effectively be described as low-dimensional spin systems.
The study of low-dimensional quantum phenomena has led to ent ir ely new ﬁelds of research, such a s the physics of mesoscopic systems, which will be discusse d b elow. The topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics.
However, many important questions remain to be answered. This review is of three books, all published by Springer, all on quantum theory at a level above introductory, but very different in content, style and intended audience. That of Gottfried and Yan is of exceptional interest, historical and otherwise.
It is a second edition of Gottfried’s well-known book published by Benjamin in This was written as a text for a graduate quantum Cited by: 1. Yehuda B. Band, Yshai Avishai, in Quantum Mechanics with Applications to Nanotechnology and Information Science, In low dimensional quantum systems, electrons (and holes and excitons) are confined to move in a plane, along a wire, or within a quantum dot.
This chapter begins with an introduction to mesoscopic systems, and to low. quantum wells, quantum wires, spin chains, superlattices, Thouless energy, two-dimensional electron gas, Wigner crystals Contents 1.
Introduction 2. Making Low-Dimensional Quantum Structures 3. Physics in Quantum Systems of Reduced Dimensions Quantum Phenpmena In Low-Dimensional Systems- Michael R.
Geller. This book looks in detail at the physics of interacting systems of electron and nuclear spins in semiconductors, with particular emphasis on low-dimensional structures.
These two spin systems naturally appear in practically all widespread semiconductor compounds. In the first part of the book, the quantum theory of magnetism is presented while the second part of the book is devoted to the application of the theory of magnetism to surface physics. Numerous examples covering typical cases in ferromagnets, antiferromagnets, ferrimagnets, helimagnets, and frustrated spin systems are all illustrated.
P First principles quantum transport simulations for low dimensional systems Ivan Rungger, National Physical Laboratory, UK P Conductance quantisation with Rashba spin -orbit coupling in In Ga As quantum wires Yilmaz Gul, University College London, UK P Split-gate quantum pumps H Howe, University College London, UKFile Size: 1MB.
This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers. The main items can be grouped into integrable (quantum) spin systems, which lead in the continuum limit to.
Get this from a library. Tensor network states and effective particles for low-dimensional quantum spin systems. [Laurens Vanderstraeten] -- This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions.
Combining these developments, it subsequently uses the formalism of. Author: Stig Lundqvist,Giuseppe Morandi,Yu Lu; Publisher: World Scientific ISBN: Category: Page: View: DOWNLOAD NOW» This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research.
The Jordan-Wigner transformation is known as a powerful tool in condensed matter theory, especially in the theory of low-dimensional quantum spin systems. The aim of this chapter is to review the application of the Jordan-Wigner fermionization technique for calculating dynamic quantities of low-dimensional quantum spin models.
After a brief introduction of the Jordan-Wigner transformation for Cited by: 2. In chapter 5, we discussed the classical relativistic statistical mechanics of a many-body this chapter, we discuss the construction of quantum statistical mechanics. The development of this theory for the special choice of was discussed in .Here we work in the more general framework discussed in section We show that much of the analysis given there is applicable to the quantum.
This book contains thoroughly written reviews of modern developments in low-dimensional modelling of statistical mechanics and quantum systems. It addresses students as well as researchers.
The main i. Low-dimensional statistical models are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.The author shows how, beginning with fundamental results from quantum mechanics and solid-state physics, a formalism can be developed that describes the Cited by: Quantum mechanics transcends and supplants classical mechanics at the atomic and subatomic levels.
It provides the underlying framework for many subfields of physics, chemistry and materials science, including condensed matter physics, atomic physics, molecular physics, quantum chemistry, particle physics, and nuclear :