2018

Symmetry and Topology in Non-Hermitian Physics

Kawabata, Kohei, Shiozaki, Ken, Ueda, Masahito et al.

Understand

We develop a complete theory of symmetry and topology in non-Hermitian physics.

We demonstrate that non-Hermiticity ramifies the celebrated Altland-Zirnbauer symmetry classification for insulators and superconductors.
In particular, charge conjugation is defined in terms of transposition rather than complex conjugation due to the lack of Hermiticity, and hence chiral symmetry becomes distinct from sublattice symmetry.
It is also shown that non-Hermiticity enables a Hermitian-conjugate counterpart of the Altland-Zirnbauer symmetry.

Built on

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