The energy and entanglement spectrum of fractionally filled interacting topological insulators
exhibit a peculiar manifold of low-energy states separated by a gap from a high-energy set …

A formalism is developed for the rigorous study of solvable fractional quantum Hall parent
Hamiltonians with Landau-level mixing. The idea of organization through “generalized Pauli …

Using an algebra of second-quantized operators, we develop local two-body parent
Hamiltonians for all unprojected Jain states at filling factor n/(2 np+ 1), with integer n and …

Many fractional quantum Hall wave functions are known to be unique highest-density zero
modes of certain “pseudopotential” Hamiltonians. While a systematic method to construct …

In this paper, we provide analytical counting rules for the ground states and the quasiholes
of fractional Chern insulators with an arbitrary Chern number. We first construct …

A subtle relation between quantum Hall physics and the phenomenon of pairing is unveiled.
By use of second quantization, we establish a connection between (i) a broad class of …

Supersymmetry and supergravity were invented in the 1970s to solve fundamental problems
in high-energy physics. Even though neither of these ideas has yet been confirmed in high …

We consider a topologically nontrivial flat-band structure in one spatial dimension in the
presence of nearest-and next-nearest-neighbor Hubbard interaction. The noninteracting …

We study frustration-free Hamiltonians of fractional quantum Hall (FQH) states from the point
of view of the matrix product state (MPS) representation of their ground and excited states …

We analyze general zero mode properties of the parent Hamiltonian of the unprojected Jain-
2/5 state. We characterize the zero mode condition associated to this Hamiltonian via …