Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems

Xiao Qi Sun, Penghao Zhu, Taylor L. Hughes

Research output: Contribution to journalArticlepeer-review


We study the geometric response of three-dimensional non-Hermitian crystalline systems with nontrivial point-gap topology. For systems with fourfold rotation symmetry, we show that in the presence of disclination lines with a total Frank angle, which is an integer multiple of 2π, there can be nontrivial one-dimensional point-gap topology along the direction of the disclination lines. This results in disclination-induced non-Hermitian skin effects. By doubling a non-Hermitian Hamiltonian to a Hermitian three-dimensional chiral topological insulator, we show that the disclination-induced skin modes are zero modes of the effective surface Dirac fermion(s) in the presence of a pseudomagnetic flux induced by disclinations. Furthermore, we find that our results have a field theoretic description, and the corresponding geometric response actions (e.g., the Euclidean Wen-Zee action) enrich the topological field theory of non-Hermitian systems.

Original languageEnglish (US)
Article number066401
JournalPhysical review letters
Issue number6
StatePublished - Aug 6 2021

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems'. Together they form a unique fingerprint.

Cite this