Fractionally quantized Berry's phase in an anisotropic magnet on the Kagome lattice

Abstract

A fractionally quantized Berry phase is examined numerically in an anisotropic spin-1/2 XXZ model on the Kagome lattice. It is shown that the Berry phase has a fractionally quantized and non-zero value when an anisotropy is increased, which is consistent with the emergence of the tripartite entangled plaquette phase discussed by J. Carrasquilla et al. [Phys. Rev. B96, 054405 (2017)].

3 pages, 3 figures

References in corpus (7)

• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• $Z_N$ Berry Phases in Symmetry Protected Topological Phases
• Emergent orbitals in the cluster Mott insulator on a breathing Kagome lattice
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Cited by in corpus (6)

• Higher-order Topological Mott Insulators
• Higher-order topological phases in a spring-mass model on a breathing kagome lattice
• ${\mathbb{Z}}_Q$ Berry Phase for Higher-Order Symmetry-Protected Topological Phases
• Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices
• Sequential quantum phase transitions in $J_1$-$J_2$ Heisenberg chains with integer spins ($S>1$): Quantized Berry phase and valence-bond solids
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder