Topological Phases in Condensed Matter Physics

Masatoshi Sato

Shun-Qing Shen

Abstract The discovery of topological insulators and superconductors is an important advance in condensed matter physics. Topological phases reflect global properties of the quantum states in materials, and the boundary states are the characteristic of the materials. Such phases constitute a new branch in condensed matter physics. Here a historic development is briefly introduced, and the known family of phases in condensed matter are summarized.

Wei-Feng Tsai, Hsin Lin, Arun Bansil

F. D. M. Haldane

Bei Zeng, Xie Chen, Duan-Lu Zhou +1 more

This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We keep the writing in a self-consistent way, requiring minimum background in quantum information science. Basic knowledge in undergraduate quantum physics and condensed matter physics is assumed. We start slowly from the basic ideas in quantum information theory, but wish to eventually bring the readers to the frontiers of research in condensed matter physics, including topological phases of matter, tensor networks, and symmetry-protected topological phases.

J. Stajic

Physics One of the most exciting developments in condensed-matter physics over the past few years has been the prediction and discovery of new topological phases of matter. The most interesting of these, topological insulators, are characterized by surface states robust to perturbations that