Z $_{\mathrm{2}}$ gauge theory for valence bond solids on the kagome latticeZ$_{\mathrm{2}}$ gauge theory for valence bond solids on the kagome lattice

Kyusung Hwang, Yejin Huh, Yong Baek Kim

Bulletin of the American Physical SocietyMar 18, 20160 citations

1-form symmetry and the selection rule of the plaquette valence bond solid phase on the kagome lattice

Zijian Xiong

We study the plaquette valence bond solid phase in an XXZ-type spin-1/2 model in the kagome lattice. The low-energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1) symmetry at low energy and there is a mixed anomaly. We also show that this 1-form symmetry restricts the longitudinal dynamical structure factor and leads to the selection rule relating to the vanishing intensity along some high-symmetry momentum paths (e.g., the $\mathrm{\ensuremath{\Gamma}}\text{\ensuremath{-}}M$ path). Since this emergent 1-form symmetry is robust in the presence of local UV perturbation, the selection rule will also apply to the model which is obtained by perturbing the classical limit of our model.We study the plaquette valence bond solid phase in an XXZ-type spin-1/2 model in the kagome lattice. The low-energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1) symmetry at low energy and there is a mixed anomaly. We also show that this 1-form symmetry restricts the longitudinal dynamical structure factor and leads to the selection rule relating to the vanishing intensity along some high-symmetry momentum paths (e.g., the $\mathrm{\ensuremath{\Gamma}}\text{\ensuremath{-}}M$ path). Since this emergent 1-form symmetry is robust in the presence of local UV perturbation, the selection rule will also apply to the model which is obtained by perturbing the classical limit of our model.

Physical review. B./Physical review. BNov 6, 20233 citations

1-form symmetry and the selection rule of the plaquette valence bond solid phase on kagome lattice

Zijian Xiong

We study the plaquette valence bond solid phase in a XXZ type spin-1/2 model in the kagome lattice. The low energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1) symmetry in low energy, and there is a mixed anomaly. We also show that this 1-form symmetry constraints the longitudinal dynamical structure factor and leads to the selection rule relating to the vanishing intensity along some high symmetry momentum paths (e.g. $Γ-M$ path). We point out that this emergent 1-form symmetry is robust against the translation symmetry preserving UV perturbation, thus the selection rule will also apply to the model which is obtained by perturbing the classical limit of our model.We study the plaquette valence bond solid phase in a XXZ type spin-1/2 model in the kagome lattice. The low energy theory for this phase is a U(1) lattice gauge theory on the honeycomb lattice. We find that there is an emergent 1-form U(1) symmetry in low energy, and there is a mixed anomaly. We also show that this 1-form symmetry constraints the longitudinal dynamical structure factor and leads to the selection rule relating to the vanishing intensity along some high symmetry momentum paths (e.g. $Γ-M$ path). We point out that this emergent 1-form symmetry is robust against the translation symmetry preserving UV perturbation, thus the selection rule will also apply to the model which is obtained by perturbing the classical limit of our model.

arXiv:2306.03348Jun 6, 20230 citations

_{\mathrm{2}}

gauge theory for valence bond solids on the kagome lattice

Γ-M

path). We point out that this emergent 1-form symmetry is robust against the translation symmetry preserving UV perturbation, thus the selection rule will also apply to the model which is obtained by perturbing the classical limit of our model.