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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> parafermions in one-dimensional fermionic lattices
Nonlocal (topological) order and local (Landau-type) order are often viewed as opposing principles. Here, the authors study strongly interacting quantum wires that exhibit hybrid order, composed of local Ising magnetization and a topological order parameter. Based on an exact mapping of the corresponding strongly interacting electronic Hamiltonian onto \ensuremath{\mathbb{Z}}${}_{n}$ parafermions, …