Theoretical Tools for Spin Models in Magnetic Systems

Science & Math

Pires, Antonio Sergio Teixeira

Physics

IOP Publishing Ltd.

Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory.\nKey Features:\nProvides an introduction to path integral formalism Introduces all the basic concepts in differential geometry and topology Presents the quantum Hall effect using topology concepts Includes an introduction to topological insulators Presents the Weyl semimetal using topological concepts Studies spin systems using topology

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)

Institute of Physics Publishing

AdS/CFT Correspondence in Condensed Matter (Iop Concise Physics: A Morgan & Claypool Publication)

The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space time to a strongly coupled d-dimensional quantum field theory living on its boundary. The AdS/CFT correspondence can be used to study finite temperature real time processes, such as response functions and dynamics far from equilibrium in quantum critical points in condensed matter systems. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory.

AdS/CFT Correspondence in Condensed Matter (Iop Concise Physics: a Morgan & Claypool Publication)

IOP Concise Physics

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Iop Concise Physics)

In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

See the best price to sell, buy, or rent books by Pires, Antonio Sergio Teixeira. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Pires, Antonio Sergio Teixeira

See the best price to sell, buy, or rent books by Pires, Antonio Sergio Teixeira. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Theoretical Tools for Spin Models in Magnetic Systems

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)

AdS/CFT Correspondence in Condensed Matter (Iop Concise Physics: a Morgan & Claypool Publication)

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Iop Concise Physics)

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Iop Concise Physics)