Strange correlations in spin-1 Heisenberg antiferromagnets

Abstract

We study the behavior of the recently proposed "strange correlator" [Phys. Rev. Lett. {\bf 112}, 247202 (2014)] in spin-1 Heisenberg antiferromagnetic chains with uniaxial single-ion anisotropy. Using projective quantum Monte Carlo, we are able to directly access the strange correlator in a variety of phases, as well as to examine its critical behavior at the quantum phase transition between trivial and non-trivial symmetry protected topological phases. After finding the expected long-range behavior in these two symmetry conserving phases, we go on to verify the topological nature of two-leg and three-leg spin-1 Heisenberg antiferromagnetic ladders. This demonstrates the power of the strange correlator in distinguishing between trivial and non-trivial symmetry protected topological phases.

arXiv comment7 pages, 6 figures

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• Quantum Monte Carlo study of strange correlator in interacting topological insulators
• Detection of symmetry-protected topological order in AKLT states by exact evaluation of the strange correlator
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
• Strange correlators for topological quantum systems from bulk-boundary correspondence
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions
• Effective Conformal Field Theory generated from Pure and Dephased Chern insulator
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering
• Spurious Strange Correlators in Symmetry-Protected Topological Phases