Correspondence between winding numbers and skin modes in non-hermitian systems

25 Aug 2020 Zhang Kai Yang Zhesen Fang Chen

We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condition, and the presence of "skin modes" with open boundary condition in non-hermitian systems. We show that the nonzero winding with respect to any complex reference energy leads to the presence of skin modes, and vice versa... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • MESOSCALE AND NANOSCALE PHYSICS