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Status: Unchecked ×Keyword: Schrieffer-Wolff transformation ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Toric code under antiferromagnetic isotropic Heisenberg interactions

   Jang, Peters and Posske · Physical Review Research · 2026

   The paper studies how an antiferromagnetic Heisenberg perturbation breaks down topological order in the toric code, using neural-network quantum states and a perturbative Schrieffer-Wolff analysis.

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   1. UncheckedAt weak coupling, numerical ground states of the perturbed toric code match an effective low-energy theory from a Schrieffer-Wolff transformation.“In the weak-coupling regime, the numerical results are in excellent agreement with an effective low-energy description derived from a Schrieffer-Wolff (SW) transformation, providing analytic control over the perturbative breakdown of topological order.”
   2. UncheckedPast the transition, the perturbed toric code enters an antiferromagnetic Néel phase with four degenerate symmetry-broken states, probed by staggered magnetization.“Beyond the transition, an antiferromagnetic $\pm X/\pm Z$ Néel phase emerges, characterized by a fourfold-degenerate symmetry-broken manifold, which is explicitly probed using staggered-magnetization-based diagnostics.”