121 citations · 369 across the 9 of their papers we have counts for
9 papers
Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices
Thomas Jackson, Bruno Nachtergaele, Amanda Young
We prove that the ground state of the AKLT models on the hexagonal lattice and the Lieb lattice satisfy the local topological quantum order (LTQO) condition. This will be a consequ…
Long-Range Antiferromagnetic Order in the AKLT Model on Trees and Treelike Graphs
Thomas Jackson
We extend the result of Fannes, Nachtergaele, and Werner on long-range order in the AKLT model on Cayley trees to include various trees and tree-like graphs that obey certain condi…
Finite-wavevector Electromagnetic Response in Lattice Quantum Hall Systems
Fenner Harper, David Bauer, T. S. Jackson +1
In a quantum Hall system, the finite-wavevector Hall conductivity displays an intriguing dependence on the Hall viscosity, a coefficient that describes the non-dissipative response…
Quantum geometry and stability of the fractional quantum Hall effect in the Hofstadter model
T. S. Jackson, David Bauer, Rahul Roy
We study how the stability of the fractional quantum Hall effect (FQHE) is influenced by the geometry of band structure in lattice Chern insulators. We consider the Hofstadter mode…
Geometric stability of topological lattice phases
T. S. Jackson, G. Möller, R. Roy
The fractional quantum Hall (FQH) effect illustrates the range of novel phenomena which can arise in a topologically ordered state in the presence of strong interactions. The possi…
Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
T. S. Jackson, N. Read, S. H. Simon
We consider spaces of trial wavefunctions for ground states and edge excitations in the fractional quantum Hall effect that can be obtained in various ways. In one way, functions a…
Edge modes in band topological insulators
Lukasz Fidkowski, T. S. Jackson, Israel Klich
We characterize gapless edge modes in translation invariant topological insulators. We show that the edge mode spectrum is a continuous deformation of the spectrum of a certain glu…
Theory of minimum spanning trees II: exact graphical methods and perturbation expansion at the percolation threshold
T. S. Jackson, N. Read
Continuing the program begun by the authors in a previous paper, we develop an exact low-density expansion for the random minimum spanning tree (MST) on a finite graph, and use it…
Theory of minimum spanning trees I: Mean-field theory and strongly disordered spin-glass model
T. S. Jackson, N. Read
The minimum spanning tree (MST) is a combinatorial optimization problem: given a connected graph with a real weight ("cost") on each edge, find the spanning tree that minimizes the…