The spectral degeneracies emerging as a consequence of parity-time (PT) symmetry exhibit a profound divergence from their conventional counterparts. They possess non-Hermitian nature and are ...

Rotational symmetry is shown to protect the quadratic dispersion of out-of-plane flexural vibrations in graphene and other two-dimensional materials against phonon–phonon interactions, making the ...

Optical experiments reveal nematicity and broken time-reversal symmetry in the charge density waves in kagome metals. Fig. 1: Crystal structures of AV 3 Sb 5 (A = K, Rb or Cs) in the pristine phase ...

The valleys of two-dimensional transition metal dichalcogenides (TMDCs) offer a new degree of freedom for information processing and have attracted tremendous interest for their possible applications ...

Symmetry attracts us. Studies comparing people’s reactions to different faces have shown, for example, that they find highly symmetrical faces more attractive than less symmetrical faces. The symmetry ...

The 2008 Abel Prize was awarded to John Griggs Thompson of the University of Florida and Jacques Tits of the Collège de France for their contributions to group theory, the mathematical field that ...

A GCSE Maths video explaining rotational symmetry. This video looks at finding the order of rotational symmetry of different 2D shapes using worked examples. Find out more about GCSE Maths.

Rotational symmetry-broken mechanism for simplifying exceptional point achievement. (a) 3D model of waveguide coupled RTR. (b) Field distribution and (c) far-field pattern of RTR at EP. The spectral ...