39 citations · 71 across the 6 of their papers we have counts for
6 papers
Order, Disorder, and Transitions in Decorated AKLT States on Bethe Lattices
Nicholas Pomata
Returning to one of the original generalizations of the AKLT state, we extend prior analysis on the Bethe lattice (or Cayley tree) to a variant with a series of spin-1 decorati…
In search of a many-body mobility edge with matrix product states in a Generalized Aubry-André model with interactions
Nicholas Pomata, Sriram Ganeshan, Tzu-Chieh Wei
We investigate the possibility of a many-body mobility edge in the generalized Aubry-André (GAA) model with interactions using the Shift-Invert Matrix Product States (SIMPS) algori…
The AKLT models on the singly decorated diamond lattice and two degree-4 planar lattices are gapped
Wenhan Guo, Nicholas Pomata, Tzu-Chieh Wei
Recently various 2D AKLT models have been shown to be gapped, including the one on the hexagonal lattice. Here we report on a non-trivial 3D AKLT model which consists of spin-2 ent…
Demonstrating the AKLT spectral gap on 2D degree-3 lattices
Nicholas Pomata, Tzu-Chieh Wei
We establish that the spin-3/2 AKLT model on the honeycomb has a nonzero spectral gap. We use the relation between the anticommutator of two projectors and their sum, and apply it…
AKLT models on decorated square lattices are gapped
Nicholas Pomata, Tzu-Chieh Wei
The nonzero spectral gap of the original two-dimensional Affleck-Kennedy-Lieb-Tasaki (AKLT) models has remained unproven for more than three decades. Recently, Abdul-Rahman et al.…
Phase transitions of a 2D deformed-AKLT model
Nicholas Pomata, Ching-Yu Huang, Tzu-Chieh Wei
We study spin-2 deformed-AKLT models on the square lattice, specifically a two-parameter family of -symmetric ground-state wavefunctions as defined by Niggemann, Klümper, and…