Non-Hermitian semi-Dirac semi-metals

@article{Banerjee2021NonHermitianSS,
  title={Non-Hermitian semi-Dirac semi-metals},
  author={Ayan Banerjee and Awadhesh Narayan},
  journal={Journal of Physics: Condensed Matter},
  year={2021},
  volume={33}
}
Recently, many novel and exotic phases have been proposed by considering the role of topology in non-Hermitian systems, and their emergent properties are of wide current interest. In this work we propose the non-Hermitian generalization of semi-Dirac semimetals, which feature a linear dispersion along one momentum direction and a quadratic one along the other. We study the topological phase transitions in such two-dimensional semi-Dirac semimetals in the presence of a particle gain-and-loss… 
3 Citations
Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry.
TLDR
Implementing nonunitary time evolution in reciprocal space followed by interferometric measurements, the complex eigenenergies of the corresponding NH Bloch Hamiltonians are probed, and the topology of their exceptional lines (ELs) is studied.
Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
Non-Hermitian materials can exhibit not only exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical
General properties of fidelity in non-Hermitian quantum systems with PT symmetry
The fidelity susceptibility is a tool for studying quantum phase transitions in the Hermitian condensed matter systems. Recently, it has been generalized with the biorthogonal basis for the

References

SHOWING 1-10 OF 88 REFERENCES
Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
We introduce a topological theory to study quasiparticles in interacting and/or disordered many-body systems, which have a finite lifetime due to inelastic and/or elastic scattering. The one-body
Tidal surface states as fingerprints of non-Hermitian nodal knot metals
Non-Hermitian nodal knot metals (NKMs) contain intricate complex-valued energy bands which give rise to knotted exceptional loops and new topological surface states. We introduce a formalism that
Generalized Bloch band theory for non-Hermitian bulk–boundary correspondence
Bulk-boundary correspondence is the cornerstone of topological physics. In some non-Hermitian topological system this fundamental relation is broken in the sense that the topological number
Perspective on topological states of non-Hermitian lattices
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 we give an
Generalized bulk–boundary correspondence in non-Hermitian topolectrical circuits
The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as the inclusion of
Probing non-Hermitian skin effect and non-Bloch phase transitions
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 states, and
PT -symmetric non-Hermitian Dirac semimetals
Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems, $\mathcal{PT}$ symmetry can lead to an entirely real-energy
Non-Hermitian fractional quantum Hall states
TLDR
It is elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state and discovers that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.
Manipulating terahertz wave and reducing radar cross section (RCS) by combining a Pancharatnam–Berry phase with a coding metasurface
TLDR
Eight kinds of coding particles are obtained by rotating the 'M'-shaped pattern using the Pancharatnam–Berry phase theory, and three different coding sequences of 3-bit coding metasurfaces are designed and manipulated to produce two, four and six beams of the reflected terahertz wave.
...
...