Non-Hermitian systems and topology: A transfer-matrix perspective

By Flore K. Kunst, Vatsal Dwivedi. Physical review B, 2018

167 citations recorded by the source corpus.

Non-Hermitian Hamiltonians---proposed to describe dissipative systems where the particles have a finite lifetime---exhibit many puzzling properties, strongly contrasting their Hermitian counterparts. In particular, their spectra exhibit extreme sensitivity to boundary conditions and a piling up of all states at the boundary, signalling a breakdown of the conventional bulk-boundary correspondence. The authors study these systems using transfer matrices, whereby they can explain as well as predict the aforementioned features without resorting to numerical computations. This analytical approach allows for a deeper understanding of the topological properties of non-Hermitian systems.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/60795b6c39d8d0e5bea429b6d874129a7fb688f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class (2020, methodology): “To elucidate such a non-Bloch feature of non-Hermitian systems, recent works have developed a non-Bloch band theory that works even under arbitrary boundary conditions [25, 27, 30, 34, 40, 53, 54].”
Perspective on topological states of non-Hermitian lattices (2019, background): “On a different path, but with the same unifying aim, Kunst and collaborators [124] put forward a transfer matrix approach.”
Symmetry and Topology in Non-Hermitian Physics (2018, background): “[137] obtains a similar result for unbroken paritytime symmetry in a transfer-matrix perspective.”
Higher-order non-Hermitian skin effect (2020, unknown): “[59] F.”