The hallmark of highly frustrated systems is the presence of many states close in energy to
the ground state. Fluctuations between these states can preclude the emergence of any form …

The Curie-Weiss law is widely used to estimate the strength of frustration in frustrated
magnets. However, the Curie-Weiss law was originally derived as an estimate of magnetic …

We study a “helical” superfluid, a nonzero-momentum condensate in a frustrated bosonic
model. At mean-field Bogoliubov level, such a novel state exhibits “smectic” fluctuation that …

Spiral spin liquids are correlated paramagnetic states with degenerate propagation vectors
forming a continuous ring or surface in reciprocal space. On the honeycomb lattice, spiral …

Competition among exchange interactions is able to induce novel spin correlations on a
bipartite lattice without geometrical frustration. A prototype example is the spiral spin liquid …

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 …

We establish, in the spirit of the Lieb-Schultz-Mattis theorem, lower bounds on the spectral
degeneracy of quantum systems with higher (gaugelike) symmetries with rather generic …

Subsystem symmetries are of peculiar interest as their relation to many exotic phenomena.
However, realistic models hosting such symmetries are rare. Here we propose an extended …

We build a minimal model of dissipative vortex dynamics in two spatial dimensions, subject
to a kinematic constraint: dipole conservation. The additional conservation law implies …

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 …