J. Björnberg

activity

20122025

most citedCritical temperature of Heisenberg models on regular trees, via random loops

7 citations · 10 across the 5 of their papers we have counts for

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math-ph2025

Dimerization in $O (n)$ -invariant quantum spin chains

J. E. Björnberg, K. Ryan

We establish dimerization in $O (n)$ -invariant quantum spin chains with large enough $n$ , in a much larger region of the phase diagram than previous results. This entails identifyin…

math-ph2021★ 3 cited

Dimerization in quantum spin chains with $O (n)$ symmetry

Jakob E. Björnberg, Peter Mühlbacher, Bruno Nachtergaele +1

We consider quantum spins with $S \geq 1$ , and two-body interactions with $O (2 S + 1)$ symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigor…

math-ph2018★ 7 cited

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- $\frac{1}{2}$ XXZ model and the spin-1 nematic m…

Dimerization in O(n)-invariant quantum spin chains

Dimerization in quantum spin chains with O(n) symmetry

Critical temperature of Heisenberg models on regular trees, via random loops

Dimerization in $O (n)$ -invariant quantum spin chains

Dimerization in quantum spin chains with $O (n)$ symmetry