Topic
Spin-½
About: Spin-½ is a research topic. Over the lifetime, 40423 publications have been published within this topic receiving 796639 citations.
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TL;DR: In this paper, the Schrodinger functional differential operator is shown to exist in renormalizable quantum field theory to all orders in the perturbation expansion, including spin-1 2 fermions, and the Casimir potential for disjoint surfaces is computed for a pair of parallel plates to first order in massless φν4.
401 citations
TL;DR: The solid-state cross polarization and magic-angle spinning analog of an earlier 2D FT experiment on liquids is introduced in this article, which permits the observation of spin exchange processes.
400 citations
TL;DR: The principle of topological frustration can be used to introduce large net spin and interesting spin distributions in graphene and suggest an avenue to nanoscale spintronics through the sculpting of graphene fragments.
Abstract: We investigate, using benzenoid graph theory and first-principles calculations, the magnetic properties of arbitrarily shaped finite graphene fragments to which we refer as graphene nanoflakes (GNFs). We demonstrate that the spin of a GNF depends on its shape due to topological frustration of the π-bonds. For example, a zigzag-edged triangular GNF has a nonzero net spin, resembling an artificial ferrimagnetic atom, with the spin value scaling with its linear size. In general, the principle of topological frustration can be used to introduce large net spin and interesting spin distributions in graphene. These results suggest an avenue to nanoscale spintronics through the sculpting of graphene fragments.
400 citations
Book•
01 Dec 2001TL;DR: In this article, a comparison of the classical stretched string and the quantal box is made, and a non-classical description of microscopic phenomena is given. But the analysis is restricted to the case of two-particle systems with few degrees of freedom.
Abstract: Preface Part I. Introductory: 1. The need for a non-classical description of microscopic phenomena 2. Classical concepts and quantal inequivalencies 3. Introducing quantum mechanics: a comparison of the classical stretched string and the quantal box 4. Mathematical background Part II. The Central Concepts: 5. The postulates of quantum mechanics 6. Applications of the postulates: bound states in one dimension 7. Applications of the postulates: continuum states in one dimension 8. Quantal/classical connections 9. Commuting operators, quantum numbers, symmetry properties Part III. Systems with Few Degrees of Freedom: 10. Orbital angular momentum 11. Two-particle systems, potential-well bound state problems 12. Electromagnetic fields 13. Intrinsic spin, two-state systems 14. Generalized angular momentum and the coupling of angular momenta 15. Three-dimensional continuum states/scattering Part IV. Complex Systems: 16. Time-dependent approximation methods 17. Time-independent approximation methods 18. Many degrees of freedom: atoms and molecules Appendix A. Elements of probability theory Appendix B. Fourier series and integrals Appendix C. Solution of Legendre's equation Appendix D. Fundamental and derived quantities, conversion factors References.
399 citations
TL;DR: The spin fluctuation dynamics at, and away from, the symmetry point is obtained and the spin lifetime infinite at this wave vector is rendered, giving rise to a persistent spin helix.
Abstract: Spin-orbit coupled systems generally break the spin rotation symmetry. However, for a model with equal Rashba and Dresselhauss coupling constants, and for the [110] Dresselhauss model, a new type of SU(2) spin rotation symmetry is discovered. This symmetry is robust against spin-independent disorder and interactions and is generated by operators whose wave vector depends on the coupling strength. It renders the spin lifetime infinite at this wave vector, giving rise to a persistent spin helix. We obtain the spin fluctuation dynamics at, and away from, the symmetry point and suggest experiments to observe the persistent spin helix.
399 citations