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25 April 2024
 
  » arxiv » 2208.02830

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Superconductivity of repulsive spinless fermions with sublattice potentials
Yuchi He ; Kang Yang ; Jonas B. Hauck ; Emil J. Bergholtz ; Dante M. Kennes ;
Date 4 Aug 2022
AbstractWe explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered $d$-wave and $f$-wave pairing respectively at low doping stemming from an effective two-valley band structure. At higher doping, in particular the square lattice displays a much richer phase diagram including topological $p+ip$ superconductivity which is induced by a qualitatively different mechanism compared to the $d$-wave pairing. We illuminate this from several complementary perspectives: we analytically perform sublattice projection to analyze the effective continuum low-energy description and we numerically calculate the binding energies for pair and larger bound states for few-body doping near half filling. Furthermore, for finite doping, we present phase diagrams based on extensive FRG and and DMRG calculations.
Source arXiv, 2208.02830
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