Description
Book SynopsisThis book provides the first systematic discourse on a very peculiar approach to the theory of strongly correlated systems. Hubbard X-operators have been known for a long time but have not been widely used because of their awkward algebra. The book shows that it is possible to deal with X-operators even in the general multilevel local eigenstate system, and not just in the case of the nondegenerate Hubbard model. X-operators provide the natural language for describing quasiparticles in the Hubbard subbands with unusual doping and temperature-dependent band structures.The X-operator diagram technique is presented in detail, so that a newcomer with knowledge of the usual Fermi/Bose operator diagram technique can use the former after reading the book.Examples are taken from the theory of high-Tc superconductivity, rare-earth compounds with strong magnetic anisotropy and quantum oscillations in strongly correlated systems.
Trade Review"This well-written book gives a systematic description of effective mathematical tools in the theory of strongly correlated electrons, based upon the use of the Hubbard operators." Mathematical Reviews
Table of ContentsHubbard Model as the Simplest Model of Strong Electron Correlation; Multielectron Models in X-Operators Representation; General Approach to the Quasiparticle Description of Strongly Correlated Systems; Unitary Transformations Method in Atomic Representation; Diagram Technique in the X-Operators Representation; Spectral Properties of the Anisotropic Metallic Ferromagnets; Peculiarities of the de Haas-van Alphen Effect in Strongly Correlated Systems with Magnetic Polaron States; The Electronic Structure of Copper Oxides in the Multiorbital p-d Model
