REVIEW 2 cited by
A Mathematical Theory of Integer Quantum Hall Effect in Photonics
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
This paper investigates interface modes in a square lattice of photonic crystal composed of gyromagnetic particles with $C_{4v}$ point group symmetry. The study shows that Dirac or linear degenerate points cannot occur at the three high-symmetry points in the Brillouin zone where two Bloch bands touch. Instead, a touch point at the M-point has a quadratic degeneracy in the generic case. It is further proved that when a magnetic field is applied to the two sides of an interface in opposite directions, two interface modes supported along that interface can bifurcate from the quadratic degenerate point. These results provide a mathematical foundation for the first experimental realization of the integer quantum Hall effect in the context of photonics.
Forward citations
Cited by 2 Pith papers
-
Generalized bulk-interface correspondence for non-quantized spin transport
For tight-binding electron systems with nonconserved spin, the difference of bulk spin conductances across an interface equals the interface spin-drift conductance plus the interface spin-torque conductance.
-
Edge states in square lattice media and their deformations
For square lattice and weakly deformed square lattice bulk media with a magnetic domain wall, the band gap is traversed by two edge-state eigenvalue curves seeded by effective matrix Schrödinger and Dirac edge Hamiltonians.
Discussion (0). Continue with ORCID to comment.