Topological and magnetic phase transitions in the bilayer Kitaev-Ising model

Vijayvargia, Aayush; Seifert, Urban F. P.; Erten, Onur

doi:10.1103/physrevb.109.024439

Phys. Rev. B

2024

DOI: 10.1103/physrevb.109.024439

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Topological and magnetic phase transitions in the bilayer Kitaev-Ising model

Aayush Vijayvargia,

Urban F. P. Seifert,

Onur Erten

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Gauge field dynamics in multilayer Kitaev spin liquids

Joy,

Rosch

2024

npj Quantum Mater.

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The Kitaev spin liquid realizes an emergent static $${{\mathbb{Z}}}_{2}$$ Z 2 gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction ∝ J⊥. This inter-layer coupling breaks the integrability of the model and makes the gauge fields dynamic. Conservation laws and topology keep single visons immobile. However, an inter-layer vison pairs can hop with a hopping amplitude linear in J⊥ confined to the layer, but their motion is strongly influenced by the type of stacking. For AA stacking, an interlayer pair has a two-dimensional motion but for AB or ABC stacking, sheet conservation laws restrict its motion to a one-dimensional channel within the plane. For all stacking types, an intra-layer vison-pair is constrained to move out-of-plane only. Depending on the anisotropy of the Kitaev couplings Kx, Ky, Kz, the intra-layer vison pairs can display either coherent tunnelling or purely incoherent hopping. When a magnetic field opens a gap for Majorana fermions, there exist two types of intra-layer vison pairs - a bosonic and a fermionic one. Only the bosonic pair obtains a hopping rate linear in J⊥. We use our results to identify the leading instabilities of the spin liquid phase induced by the inter-layer coupling.

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Gauge field dynamics in multilayer Kitaev spin liquids

Joy,

Rosch

2024

npj Quantum Mater.

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Topological and magnetic phase transitions in the bilayer Kitaev-Ising model

Cited by 1 publication

References 40 publications

Gauge field dynamics in multilayer Kitaev spin liquids

Gauge field dynamics in multilayer Kitaev spin liquids

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