The Nielsen–Ninomiya theorem, $ \renewcommand{\P}{{{\mathcal P}}} \newcommand{\PT}{{\mathcal {PT}}} \PT$ -invariant non-Hermiticity and single 8-shaped Dirac cone

DOI10.1088/1751-8121/aa809azbMath1377.82031arXiv1701.07426OpenAlexW2581031128MaRDI QIDQ4588413

M. N. Chernodub

Publication date: 26 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07426

zbMATH Keywords

non-Hermitian Hamiltonians\(\mathcal{PT}\)-symmetryNielsen-Ninomiya theoremtight-binding models

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (1)

Fate of quantum anomalies for 1d lattice chiral fermion with a simple non-Hermitian Hamiltonian

Cites Work

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• Symmetry of solitary waves
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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