English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Emergent gauge theories take a prominent role in the description of quantummatter, supporting deconfined phases with topological order and fractionalizedexcitations. A common construction of $\mathbb{Z}_2$ lattice gauge theories,first introduced by Wegner, involves Ising gauge spins placed on links andsubject to a discrete $\mathbb{Z}_2$ Gauss law constraint. As shown by Kitaev,$\mathbb{Z}_2$ lattice gauge theories also emerge in the exact solution ofcertain spin systems with bond-dependent interactions. In this context, the$\mathbb{Z}_2$ gauge field is constructed from Majorana fermions, with gaugeconstraints given by the parity of Majorana fermions on each site. In thiswork, we provide an explicit Jordan-Wigner transformation that maps betweenthese two formulations on the square lattice, where the Kitaev-type gaugetheory emerges as the exact solution of a spin-orbital (Kugel-Khomskii)Hamiltonian. We then apply our mapping to study local perturbations to thespin-orbital Hamiltonian, which correspond to anisotropic interactions betweenelectric-field variables in the $\mathbb{Z}_2$ gauge theory. These are shown toinduce anisotropic confinement that is characterized by emergence ofweakly-coupled one-dimensional spin chains. We study the nature of these phasesand corresponding confinement transitions in both absence and presence ofitinerant fermionic matter degrees of freedom. Finally, we discuss how ourmapping can be applied to the Kitaev spin-1/2 model on the honeycomb lattice.

Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids