The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.
The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.
The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described.
By:
Siddhartha Sen (Trinity College Dublin Ireland), Kumar Sankar Gupta (Saha Inst Of Nuclear Phys, India) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Dimensions:
Height: 235mm,
Width: 158mm,
Spine: 14mm
Weight: 522g ISBN:9789814678162 ISBN 10: 9814678163 Pages: 220 Publication Date:16 June 2015 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Hardback Publisher's Status: Active