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Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
Elisabet Edvardsson, Flore K. Kunst, Emil J. Bergholtz
Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comp…
Extended Bloch theorem for topological lattice models with open boundaries
Flore K. Kunst, Guido van Miert, Emil J. Bergholtz
While the Bloch spectrum of translationally invariant noninteracting lattice models is trivially obtained by a Fourier transformation, diagonalizing the same problem in the presenc…
Non-Hermitian systems and topology: A transfer-matrix perspective
Flore K. Kunst, Vatsal Dwivedi
Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These…
Symmetry-protected nodal phases in non-Hermitian systems
Jan Carl Budich, Johan Carlström, Flore K. Kunst +1
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 experi…
Boundaries of boundaries: a systematic approach to lattice models with solvable boundary states of arbitrary codimension
Flore K. Kunst, Guido van Miert, Emil J. Bergholtz
We present a generic and systematic approach for constructing D-dimensional lattice models with exactly solvable d-dimensional boundary states localized to corners, edges, hinges a…
Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
Flore K. Kunst, Elisabet Edvardsson, Jan Carl Budich +1
Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary sta…
Transversal magnetotransport in Weyl semimetals: Exact numerical approach
Jan Behrends, Flore K. Kunst, Björn Sbierski
Magnetotransport experiments on Weyl semimetals are essential for investigating the intriguing topological and low-energy properties of Weyl nodes. If the transport direction is pe…