We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

The ground state of translationally invariant insulators comprises bands which can assume
topologically distinct structures. There are few known examples where this distinction is …

Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

We investigate the entanglement spectra of topological insulators, which manifest edge
states on a lattice with spatial boundaries. In the physical energy spectrum, a subset of the …

We introduce an exactly solvable fermion chain that describes a ν= 1/3 fractional quantum
Hall (FQH) state beyond the thin-torus limit. The ground state of our model is shown to be …

We provide a detailed description of a product rule structure of the monomial (Slater)
expansion coefficients of bosonic (fermionic) fractional quantum Hall (FQH) states derived …

The possibility of realizing lattice analogs of fractional quantum Hall (FQH) states, so-called
fractional Chern insulators (FCIs), in nearly flat topological (Chern) bands has attracted a lot …

We present a detailed analysis of bipartite entanglement in the non-Abelian Moore-Read
fractional quantum Hall state of bosons and fermions on the torus. In particular, we show that …

We investigated the non-universal part of the orbital entanglement spectrum (OES) of the ν=
1/3 fractional quantum Hall (FQH) effect ground state using Coulomb interactions. The non …

We introduce a broad class of simple models for quantum Hall states based on the
expansion of their parent Hamiltonians near the one-dimensional limit of “thin cylinders,” ie …