A reformulation of tight-binding models that shifts orbital symmetry into Bloch phase factors is applied to predict coexisting s± and s_z2 pairing in Lu2Fe3Si5, but the framework reduces to standard tight-binding and leaves Wannier obstructions unresolved.
Projected entangled-pair states can describe chiral topological states
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We show that Projected Entangled-Pair States (PEPS) in two spatial dimensions can describe chiral topological states by explicitly constructing a family of such states with a non-trivial Chern number. They are ground states of two different kinds of free-fermion Hamiltonians: (i) local and gapless; (ii) gapped, but with hopping amplitudes that decay according to a power law. We derive general conditions on topological free fermionic PEPS which show that they cannot correspond to exact ground states of gapped, local parent Hamiltonians, and provide numerical evidence demonstrating that they can nevertheless approximate well the physical properties of topological insulators with local Hamiltonians at arbitrary temperatures.
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Phase-Space Approach to Wannier Pairing and Bogoliubov Orbitals in Square-Octagon Lattices
A reformulation of tight-binding models that shifts orbital symmetry into Bloch phase factors is applied to predict coexisting s± and s_z2 pairing in Lu2Fe3Si5, but the framework reduces to standard tight-binding and leaves Wannier obstructions unresolved.