Pseudospin-1 systems are characterized by the feature that their band structure consists of a pair of Dirac cones and a topologically flat band. Such systems can be realized in a variety of physical systems ranging from dielectric photonic crystals to electronic materials. Theoretically, massless pseudospin-1 systems are described by the generalized Dirac-Weyl equation governing the evolution of a three-component spinor. Recent works have demonstrated that such systems can exhibit unconventional physical phenomena such as revival resonant scattering, superpersistent scattering, super-Klein tunneling, perfect caustics, vanishing Berry phase, and isotropic low energy scattering. We argue that investigating the interplay between pseudospin-1 physics and classical chaos may constitute a new frontier area of research in relativistic quantum chaos with significant applications.

Original languageEnglish (US)
Title of host publicationUnderstanding Complex Systems
PublisherSpringer Verlag
Number of pages13
StatePublished - Jan 1 2019

Publication series

NameUnderstanding Complex Systems
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840


ASJC Scopus subject areas

  • Software
  • Computational Mechanics
  • Artificial Intelligence

Cite this

Lai, Y-C. (2019). Pseudospin-1 systems as a new frontier for research on relativistic quantum chaos. In Understanding Complex Systems (pp. 119-131). (Understanding Complex Systems). Springer Verlag. https://doi.org/10.1007/978-3-030-10892-2_13