Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913470615650304 |
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| author | Joy, Aprem P. Rosch, Achim |
| author_facet | Joy, Aprem P. Rosch, Achim |
| contents | The Kitaev spin liquid realizes an emergent static $\mathbb{Z}_2$ gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction $\propto J_\perp$. This inter-layer coupling breaks the integrability of the model and makes the gauge fields dynamic. \new{Conservation laws and topology keeps single visons immobile. However, an inter-layer vison pairs can hop with a hopping amplitude linear in $J_\perp$ 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 the AB or ABC stacking, sheet conservation laws restrict its motion to a one-dimensional channel within the plane. For all stackings, an intra-layer vison-pair is constrained to move out-of-plane only.} Depending on the anisotropy of the Kitaev couplings $K_x, K_y, K_z$, 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 $J_\perp$. We use our results to identify the leading instabilities of the spin liquid phase induced by the inter-layer coupling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_14284 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauge Field Dynamics in Multilayer Kitaev Spin Liquids Joy, Aprem P. Rosch, Achim Strongly Correlated Electrons The Kitaev spin liquid realizes an emergent static $\mathbb{Z}_2$ gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction $\propto J_\perp$. This inter-layer coupling breaks the integrability of the model and makes the gauge fields dynamic. \new{Conservation laws and topology keeps single visons immobile. However, an inter-layer vison pairs can hop with a hopping amplitude linear in $J_\perp$ 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 the AB or ABC stacking, sheet conservation laws restrict its motion to a one-dimensional channel within the plane. For all stackings, an intra-layer vison-pair is constrained to move out-of-plane only.} Depending on the anisotropy of the Kitaev couplings $K_x, K_y, K_z$, 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 $J_\perp$. We use our results to identify the leading instabilities of the spin liquid phase induced by the inter-layer coupling. |
| title | Gauge Field Dynamics in Multilayer Kitaev Spin Liquids |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.14284 |