Gauge theories are powerful theoretical physics tools that allow complex phenomena to be
reduced to simple principles and are used in both high-energy and condensed matter …

Flat bands–single-particle energy bands–in tight-binding lattices, aka networks, have
attracted attention due to the presence of macroscopic degeneracies and their sensitivity to …

Classical spin liquids (CSL) lack long-range magnetic order and are characterized by an
extensive ground-state degeneracy. We propose a classification scheme of CSLs based on …

Frustrated magnetic systems can host highly interesting phases known as classical spin
liquids (CSLs), which feature extensive ground state degeneracy and lack long-range …

Classical spin liquids (CSLs) have proved to be a fruitful setting for the emergence of exotic
gauge theories. Vacancy clusters in CSLs can introduce gauge charges into the system, and …

We study a classical Ising model on the honeycomb lattice with local two-body interactions
and present strong evidence that at low temperature it realizes a higher-rank Coulomb liquid …

Spiral spin liquids possess a subextensively degenerate ground-state manifold, represented
by a continuum of energy minima in reciprocal space. Since a small change of the spiral …

Classical magnets exhibit exotic ground-state properties such as spin liquids and
fractionalization, promising a manifestation of superposition and projective symmetry …

The square ice is a canonical example of a Coulomb phase in two dimensions: Its ground
state is extensively degenerate and satisfies a local constraint on the spin arrangement (the …

We investigate classical Heisenberg models on the distorted windmill lattice and discuss
their applicability to the spin-1/2 spin liquid candidate Pb Cu Te 2 O 6. We first consider a …