The unique conduction properties of condensed matter systems with topological order have
recently inspired a quest for the similar effects in classical wave phenomena. Acoustic …

Topological insulators, a hallmark of condensed matter physics, have recently reached the
classical realm of acoustic waves. A remarkable property of time-reversal invariant …

The canonical Su-Schrieffer-Heeger (SSH) array is one of the basic geometries that have
spurred significant interest in topological band-gap modes. Here, we show that the judicious …

Abstract Topological Quantum Field Theories (TQFTs) pertinent to some emergent low
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …

We propose a superfluid phase of “many-fracton system” in which charge and total dipole
moments are conserved quantities. In this work, both microscopic model and long …

We discuss (2+ 1)-dimensional gapless surface theories of bulk (3+ 1)-dimensional
topological phases, such as the BF theory at level K, and its generalization. In particular, we …

We investigate the behavior of higher-form symmetries at various quantum phase
transitions. We consider discrete 1-form symmetries, which can be either part of the …

As a series of work about “fractonic superfluids,” in this paper, we develop an exotic fractonic
superfluid phase in d-dimensional space where subdimensional particles—their mobility is …

We study a bosonic model with correlated hop** on a honeycomb lattice, and show that its
ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a …

We explore various 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …