Generalizes LSM theorem to hyperbolic lattices with Fuchsian symmetry and derives lower bound on ground-state degeneracy versus filling and geometry.
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Fractal lattices like the Sierpiński carpet suppress d-wave superconductivity at half filling while strongly enhancing extended s-wave pairing at other fillings through geometric frustration of sign-changing order parameters.
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Lieb-Schultz-Mattis constraints for hyperbolic lattices
Generalizes LSM theorem to hyperbolic lattices with Fuchsian symmetry and derives lower bound on ground-state degeneracy versus filling and geometry.
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Extended Hubbard model on fractals: d-Wave superconductivity and competing pairing channels
Fractal lattices like the Sierpiński carpet suppress d-wave superconductivity at half filling while strongly enhancing extended s-wave pairing at other fillings through geometric frustration of sign-changing order parameters.