31 citations · 69 across the 5 of their papers we have counts for
5 papers
Entanglement renormalization for disordered systems
Andrew M. Goldsborough, Glen Evenbly
We propose a tensor network method for investigating strongly disordered systems that is based on an adaptation of entanglement renormalization [G. Vidal, Phys. Rev. Lett. 99, 2204…
Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model
Andrew M. Goldsborough, Rudolf A. Römer
We perform a matrix product state based density matrix renormalisation group analysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities N/…
Leaf-to-leaf distances in Catalan trees
Andrew M. Goldsborough, Jonathan M. Fellows, Matthew Bates +3
We study the average leaf-to-leaf path lengths on ordered Catalan tree graphs with nodes and show that these are equivalent to the average length of paths starting from the roo…
Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs
Andrew M. Goldsborough, S. Alex Rautu, Rudolf A. Römer
We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical f…
Self-assembling tensor networks and holography in disordered spin chains
Andrew M. Goldsborough, Rudolf A. Römer
We show that the numerical strong disorder renormalization group algorithm (SDRG) of Hikihara et. al. [Phys. Rev. B 60, 12116 (1999)] for the one-dimensional disordered Heisenberg…