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 ...

The ground state properties of strongly rotating bosons confined in an asymmetric anharmonic potential exhibit a split density distribution. However, the out-of-equilibrium dynamics of this split ...

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 ...

Ordered materials with 7-fold, 9-fold or 11-fold symmetries are never observed in nature. Researchers discovered the reason for this when they tried to impose a 7-fold symmetry on a layer of charged ...

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 ...

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 ...