The past decades have witnessed an explosion of interest in topological materials, and a lot
of mathematical concepts have been introduced in condensed matter physics. Among them …

Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Topological phases, including the conventional first-order and higher-order topological
insulators and semimetals, have emerged as a thriving topic in the fields of condensed …

Collective guidance of out-of-equilibrium systems without using external fields is a challenge
of paramount importance in active matter, ranging from bacterial colonies to swarms of self …

Topological lasers are investigated in nonlinear, non-Hermitian, and topological lattice
systems based on a quench dynamics starting from one site. Explicitly, we consider the …

Symmetry-protected spectral topology in extended non-Hermitian quantum systems has
interesting manifestations such as dynamically anomalous chiral currents and skin effect. In …

In this Letter, we study three-dimensional non-Hermitian higher-order Dirac semimetals
(NHHODSMs). Our focus is on C 4-symmetric non-Hermitian systems where we investigate …

We study non-Hermitian higher-order Weyl semimetals (NHHOWSMs) possessing real
spectra and having inversion I (I-NHHOWSM) or time-reversal symmetry T (T-NHHOWSM) …

Non-hermiticity presents a vast newly opened territory that harbors new physics and
applications such as lasing and sensing. However, only non-Hermitian systems with real …

Square-root topology is a recently emerged subfield describing a class of insulators and
superconductors whose topological nature is only revealed upon squaring their …