7 citations · 10 across the 5 of their papers we have counts for
5 papers
Dimerization in -invariant quantum spin chains
J. E. Björnberg, K. Ryan
We establish dimerization in -invariant quantum spin chains with large enough , in a much larger region of the phase diagram than previous results. This entails identifyin…
A random recursive tree model with doubling events
Jakob E. Björnberg, Cécile Mailler
We introduce a new model of random tree that grows like a random recursive tree, except at some exceptional "doubling events" when the tree is replaced by two copies of itself atta…
Dimerization in quantum spin chains with symmetry
Jakob E. Björnberg, Peter Mühlbacher, Bruno Nachtergaele +1
We consider quantum spins with , and two-body interactions with symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigor…
Critical temperature of Heisenberg models on regular trees, via random loops
Jakob E. Björnberg, Daniel Ueltschi
We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin- XXZ model and the spin-1 nematic m…
Coexistence and non-coexistence of Markovian viruses and their hosts
Jakob E. Björnberg, Erik I. Broman
The possibility of coexistence of two competing populations is a classical question which dates back to the earliest `predator-prey' models. In this paper we study this question in…