Abstract Non-Hermitian (NH) crystals, quasicrystals, and amorphous network display an
accumulation of a macroscopic number of states near one of its specific interfaces with …

Electronic materials harbor a plethora of exotic quantum phases, ranging from
unconventional superconductors to non-Fermi liquids and, more recently, topological …

Arrays of highly excited Rydberg atoms can be used as powerful quantum simulation
platforms. Here, we introduce an approach that makes it possible to implement fully …

The search for novel topological quantum states has recently moved beyond naturally
occurring crystalline materials to complex and engineered systems. In this work we …

Topological insulators, featuring bulk-boundary correspondence, have been realized on a
large number of noncrystalline materials, among which amorphous network, quasicrystals …

Higher-order topological insulators (HOTIs) are unique materials hosting topologically
protected states, whose dimensionality is at least by 2 lower than that of the bulk …

The Josephson effect is a hallmark signature of the superconducting state, which, however,
has been sparsely explored in non-crystalline superconducting materials. Motivated by this …

Using the Sierpinski gasket (triangle) and carpet (square) lattices as examples, we
theoretically study the properties of fractal superconductors. For that, we focus on the …

Fractal lattices are self-similar structures with repeated patterns on different scales. Quantum
transport through such structures is subtle due to the possible co-existence of localized and …

The surface code is a stabilizer code whose ground space degeneracy depends on defects
in the lattice. The protocols developed to create defects in the system have previously relied …