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arXiv · 2510.07383

Emergent spacetime supersymmetry at 2D fractionalized quantum criticality

Zhengzhi Wu·Zhou-Quan Wan·Shao-Kai Jian·Hong Yao
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Abstract

While experimental evidence for spacetime supersymmetry (SUSY) in particle physics remains elusive, condensed matter systems offer a promising arena for its emergence at quantum critical points (QCPs). Although there have been a variety of proposals for emergent SUSY at symmetry-breaking QCPs, the emergence of SUSY at fractionalized QCPs remains largely unexplored. Here, we demonstrate emergent space-time SUSY at a fractionalized QCP in the Kitaev honeycomb model with Su-Schrieffer-Heeger (SSH) spin-phonon coupling. Specifically, through numerical computations and analytical analysis, we show that the anisotropic SSH-Kitaev model hosts a fractionalized QCP between a Dirac spin liquid and an incommensurate/commensurate valence-bond-solid phase coexisting with $\mathbb{Z}_2$ topological order. A low-energy field theory incorporating phonon quantum fluctuations reveals that this fractionalized QCP features an emergent $\mathcal{N}=2$ spacetime SUSY. We further discuss their universal experimental signatures in thermal transport and viscosity, highlighting the concrete lattice realization of emergent SUSY at a fractionalized QCP in 2D.

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Zhengzhi Wu, Zhou-Quan Wan, Shao-Kai Jian, Hong Yao. 2025-10-08. Emergent spacetime supersymmetry at 2D fractionalized quantum criticality. https://doi.org/10.1103/zqnh-tb1d

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