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Exact bosonization in two spatial dimensions and a new class of lattice gauge theories
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We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the Hamiltonian. When the space is simply-connected, this bosonization map is an equivalence. We describe several examples of 2d bosonization, including free fermions on square and honeycomb lattices and the Hubbard model. We describe Euclidean actions for the corresponding lattice gauge theories and find that they contains Chern-Simons-like terms. Finally, we write down a fermionic dual of the gauged Ising model (the Fradkin-Shenker model).
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Anyon polarons as a window into the competing phases of the Kitaev-Gamma-Gamma' model
From the gap closings of anyons, the authors map the K-Γ-Γ' phase diagram and predict a magnetically ordered quantum spin liquid for the antiferromagnetic Kitaev model with negative Γ.
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