A Student's Guide to the Ising Model

A focused and accessible guide to the Ising model, a mathematical framework used to describe ferromagnetism, with exercises included.

This Student's Guide presents a focused and accessible introduction to the Ising model, an important theoretical model that provides a mathematical description of ferromagnetism. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises, with solutions provided online.The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.