The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of
aperiodic tilings. However, the physics of particles propagating in such a setting remains …

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 …

We provide a simple algorithm for constructing Hamiltonian graph cycles (visiting every
vertex exactly once) on a set of arbitrarily large finite subgraphs of aperiodic two …

We study classical dimers on two-dimensional quasiperiodic Ammann-Beenker (AB) tilings.
Using the discrete scale-symmetry of quasiperiodic tilings, we prove that each infinite tiling …

We exhibit an exactly solvable example of a SU (2) symmetric Majorana spin liquid phase, in
which quenched disorder leads to random-singlet phenomenology of emergent magnetic …

We study the antiferromagnetic XYZ spin chain with quenched bond randomness, focusing
on a critical line between localized Ising magnetic phases. A previous calculation using the …

Predictions of localized Majorana modes, and ideas for manipulating these degrees of
freedom, are the two key ingredients in proposals for physical platforms for Majorana …

We study the excitation spectrum of the $ S= 1/2$ Heisenberg model on the randomly
diluted square lattice by analytic continuation of QMC data. At dilution fractions $ p= 1/16 …

We study the effect of a small density nv of quenched nonmagnetic impurities, ie, vacancy
disorder, in gapped short-range resonating valence bond (RVB) spin liquid states and …

Majorana networks, whose vertices represent localized Majorana modes and edges
correspond to bilinear mixing amplitudes between them, provide a unified framework for …