000 02244 a2200217 4500
003 OSt
020 _a9784431553922
040 _cIIT Kanpur
041 _aeng
082 _a530.144
_bK965q
100 _aKuramoto, Yoshio
245 _aQuantum many-body physics [Vol. 934]
_ba perspective on strong correlations
_cYoshio Kuramoto
260 _bSpringer Nature
_c2020
_aJapan
300 _axi, 261p
440 _aLecture notes in physics; v. 934
490 _a/ edited by Matthias Bartelmann ...[et al.]
520 _aThis book offers a compact tutorial on basic concepts and tools in quantum many-body physics, and focuses on the correlation effects produced by mutual interactions. The content is divided into three parts, the first of which introduces readers to perturbation theory. It begins with the simplest examples—hydrogen and oxygen molecules—based on their effective Hamiltonians, and looks into basic properties of electrons in solids from the perspective of localized and itinerant limits. Readers will also learn about basic theoretical methods such as the linear response theory and Green functions. The second part focuses on mean-field theory for itinerant electrons, e.g. the Fermi liquid theory and superconductivity. Coulomb repulsion among electrons is addressed in the context of high-Tc superconductivity in cuprates and iron pnictides. A recent discovery concerning hydride superconductors is also briefly reviewed. In turn, the third part highlights quantum fluctuation effects beyond the mean-field picture. Discussing the dramatic renormalization effect in the Kondo physics, it provides a clear understanding of nonperturbative interaction effects. Further it introduces readers to fractionally charged quasi-particles in one and two dimensions. The last chapter addresses the dynamical mean field theory (DMFT). The book is based on the author’s long years of experience as a lecturer and researcher. It also includes reviews of recent focus topics in condensed matter physics, enabling readers to not only grasp conventional condensed matter theories but also to catch up on the latest developments in the field.
650 _aCorrelated systems
650 _aSuperconductivity
942 _cBK
999 _c564849
_d564849