Topological phases of matter are classified based on symmetries, with nonsymmorphic
symmetries like glide reflections and screw rotations being of particular importance in the …

We propose a general mechanism to realize nematic superconductivity (SC) and reveal its
exotic vestigial phases in the quasicrystal (QC). Starting from a Penrose-Hubbard model, our …

The first quantum fractal discovered in physics is the Hofstadter butterfly. It stems from large
external magnetic fields. We discover instead a class of non-Hermitian quantum fractals …

We propose a theory, that we call the mode-shell correspondence, which relates the
topological zero-modes localised in phase space to a shell invariant defined on the surface …

Higher-order topological insulators harbor unique corner modes that hold immense potential
for applications in information storage. However, the practical manipulation of these states …

Higher-order topological phases (HOTPs) host exotic topological states that go beyond the
traditional bulk-boundary correspondence. Up to now, there is still a lack of experimentally …

In recent years, there has been a surge of interest in higher-order topological phases
(HOTPs) across various disciplines within the field of physics. These unique phases are …

Recently, structural disorder-induced topological phase transitions in periodic systems have
attracted much attention. However, in aperiodic systems such as quasicrystalline systems …

Crystalline topological insulators have recently become a powerful platform for realizing
photonic topological states from microwaves to the visible. Appropriate geometric …

We propose a theory, that we call the\textit {mode-shell correspondence}, which relates the
topological zero-modes localised in phase space to a\textit {shell} invariant defined on the …