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.
Emergent Behavior in Strongly Correlated Electron Systems
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abstract
I describe early work on strongly correlated electron systems [SCES] from the perspective of a theoretical physicist who, while a participant in their reductionist top- down beginnings, is now part of the paradigm change to a bottom-up "emergent" approach with its focus on using phenomenology to find the organizing principles responsible for their emergent behavior disclosed by experiment---and only then constructing microscopic models that incorporate these. After considering the organizing principles responsible for the emergence of plasmons, quasiparticles, and conventional superconductivity in SCES, I consider their application to three of SCES's sister systems, the helium liquids, nuclei, and the nuclear matter found in neutron stars. I note some recent applications of the random phase approximation and examine briefly the role that paradigm change is playing in two central problems in our field: understanding the emergence and subsequent behavior of heavy electrons in Kondo lattice materials; and finding the mechanism for the unconventional superconductivity found in heavy electron, organic, cuprate, and iron-based materials.
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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.