Non-Hermitian Topological Phenomena: A Review

The past decades have witnessed an explosion of interest in topological materials, and a lot of mathematical concepts have been introduced in condensed matter physics. Among them, the bulk-boundary correspondence is the central topic in topological physics, which has inspired researchers to focus on boundary physics. Recently, the concepts of topological phases have been extended to non-Hermitian Hamiltonians, whose eigenvalues can be complex. Besides the topology, non-Hermiticity can also cause a boundary phenomenon called the non-Hermitian skin effect, which is an extreme sensitivity of the spectrum to the boundary condition. In this article, we review developments in non-Hermitian topological physics by…

• JS
  Japan Society for the Promotion of Science

  Awards: JP20K14373, JP20H00131, CREST, JPMJCR19T2
• CR
  Core Research for Evolutional Science and Technology

  Awards: JPMJER2105, JPMJCR19T2
• ER
  Exploratory Research for Advanced Technology

  Award: JPMJER2105