Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
Abstract
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 2 π , 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.
- Publication:
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Physical Review Letters
- Pub Date:
- August 2021
- DOI:
- 10.1103/PhysRevLett.127.066401
- arXiv:
- arXiv:2102.05667
- Bibcode:
- 2021PhRvL.127f6401S
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Physics - Optics;
- Quantum Physics
- E-Print:
- 10 pages including the Supplemental Material