**Hal Tasaki**

Part I: Long-Range Order and Spontaneous Symmetry Breaking

Part II: Haldane Phenomena and Beyond

Part III: Hubbard Model and the Origin of Magnetism

Provides the first comprehensive and detailed review of the Haldane phenomenon, a typical example of the topological phase of matter

, and the subject of the 2016 Nobel Prize in Physics

Discusses some of the most important universal properties of quantum many-body systems, which can be observed in a broad range of physical systems

Begins with a pedagogical presentation of the necessary background information and leads the reader to subjects of active research, such as topological phases of matter

Detailed and self-contained; all important results are carefully proved, using only undergraduate mathematics

Provides a bridge between researchers in various fields, including condensed matter physics, high-energy physics, quantum information science, and mathematics

With four imaginative illustrations, one for the cover and one for each of the three parts, by Mari Okazaki

**The book was published in June 2020 (at least as an e-book).**

Addenda and Errata (Revised: September 21, 2020)

Download sample (pdf 100 kB) that contains Preface, Table of Contents, and Chapter 1. (No illustrations, sorry.)

Download sample (pdf 100 kB) that contains Preface, Table of Contents, and Chapter 1. (No illustrations, sorry.)