By Shun-Qing Shen

Topological insulators are insulating within the bulk, yet approach metal states current round its boundary due to the topological foundation of the band constitution. The metal side or floor states are resistant to susceptible ailment or impurities, and strong opposed to the deformation of the method geometry. This publication, the 1st of its style on topological insulators, offers a unified description of topological insulators from one to 3 dimensions in accordance with the transformed Dirac equation. a chain of options of the certain states close to the boundary are derived, and the prevailing stipulations of those strategies are defined. Topological invariants and their functions to various platforms from one-dimensional polyacetalene, to two-dimensional quantum spin corridor impact and p-wave superconductors, and third-dimensional topological insulators and superconductors or superfluids are brought, assisting readers to higher comprehend this interesting new box.

This publication is meant for researchers and graduate scholars operating within the box of topological insulators and comparable components.

Shun-Qing Shen is a Professor on the division of Physics, the collage of Hong Kong, China.

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