Non-hermitian physics
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …
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-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 …
Probing non-Hermitian skin effect and non-Bloch phase transitions
S Longhi - Physical Review Research, 2019 - APS
In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory
and Bloch topological invariants fail to correctly predict energy spectra, topological boundary …
and Bloch topological invariants fail to correctly predict energy spectra, topological boundary …
Self-healing of non-Hermitian topological skin modes
S Longhi - Physical Review Letters, 2022 - APS
A unique feature of non-Hermitian (NH) systems is the NH skin effect, ie, the edge
localization of an extensive number of bulk-band eigenstates in a lattice with open or semi …
localization of an extensive number of bulk-band eigenstates in a lattice with open or semi …
Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
Y Yi, Z Yang - Physical Review Letters, 2020 - APS
In this Letter, we study the conditions under which on-site dissipations can induce non-
Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian …
Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian …
Second-order topological non-Hermitian skin effects
Higher-order topology realizes topologically robust corner modes as a manifestation of
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …
New topological invariants in non-Hermitian systems
Both theoretical and experimental studies of topological phases in non-Hermitian systems
have made a remarkable progress in the last few years of research. In this article, we review …
have made a remarkable progress in the last few years of research. In this article, we review …
Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
We address the breakdown of the bulk-boundary correspondence observed in non-
Hermitian systems, where open and periodic systems can have distinct phase diagrams …
Hermitian systems, where open and periodic systems can have distinct phase diagrams …