Fractionalization Signatures in the Dynamics of Quantum Spin Liquids

Abstract

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic field through which the model becomes non-integrable. Using the infinite projected entangled pair states (iPEPS) ansatz, along with analytical calculations and exact diagonalization, we calculate dynamical signatures of fractionalized particles through spin-spin and dimer-dimer correlations. Our analysis demonstrates the ability of these correlations to discern distinct fractionalized quantum sectors, namely Majorana fermions and the emergent $Z_2$ fluxes, in both the chiral spin liquid (CSL) phase under weak field and the emergent intermediate gapless phase (IGP) under moderate field. Importantly, our calculation reveals the nature of IGP observed at moderate fields, a region of ongoing debate, indicating that this phase is a Majorana metal induced by strong flux fluctuations.

5+10 pages, 4+12 figures

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Cited by in corpus (8)

• Thermodynamics of the Hubbard Model on the Bethe Lattice
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Post-experiment coincidence detection techniques for direct detection of two-body correlations
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$
• Dynamical Spectral Function of the Kagome Quantum Spin Liquid
• Scan calculation of the density of states: real space cluster perturbation theory applied to inhomogeneous Hubbard model in one dimension