Exceptional topology of non-Hermitian systems
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …
reaching physical consequences observable in a range of dissipative settings are reviewed …
Non-Hermitian topological phases: principles and prospects
A Banerjee, R Sarkar, S Dey… - Journal of Physics …, 2023 - iopscience.iop.org
The synergy between non-Hermitian concepts and topological ideas have led to very fruitful
activity in the recent years. Their interplay has resulted in a wide variety of new non …
activity in the recent years. Their interplay has resulted in a wide variety of new non …
Universal non-Hermitian skin effect in two and higher dimensions
Skin effect, experimentally discovered in one dimension, describes the physical
phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian …
phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian …
Non-Bloch band theory of non-Hermitian systems
K Yokomizo, S Murakami - Physical review letters, 2019 - APS
In spatially periodic Hermitian systems, such as electronic systems in crystals, the band
structure is described by the band theory in terms of the Bloch wave functions, which …
structure is described by the band theory in terms of the Bloch wave functions, which …
Classification of exceptional points and non-Hermitian topological semimetals
Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas
past decades witnessed their new physics, the unified understanding has yet to be obtained …
past decades witnessed their new physics, the unified understanding has yet to be obtained …
Symmetry and topology in non-Hermitian physics
Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …
Topological states of non-Hermitian systems
VM Martinez Alvarez, JE Barrios Vargas… - The European Physical …, 2018 - Springer
Recently, the search for topological states of matter has turned to non-Hermitian systems,
which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices …
which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices …
Symmetry-protected nodal phases in non-Hermitian systems
Non-Hermitian (NH) Hamiltonians have become an important asset for the effective
description of various physical systems that are subject to dissipation. Motivated by recent …
description of various physical systems that are subject to dissipation. Motivated by recent …
Periodic table for topological bands with non-Hermitian symmetries
Classifications of symmetry-protected topological (SPT) phases provide a framework to
systematically understand the physical properties and potential applications of topological …
systematically understand the physical properties and potential applications of topological …
Perspective on topological states of non-Hermitian lattices
LEFF Torres - Journal of Physics: Materials, 2019 - iopscience.iop.org
The search of topological states in non-Hermitian systems has gained a strong momentum
over the last two years climbing to the level of an emergent research front. In this perspective …
over the last two years climbing to the level of an emergent research front. In this perspective …