Dimensional Reduction and Odd-Frequency Pairing of the Checkerboard-Lattice Hubbard Model at 1/4-Filling

Abstract

The ferromagnetism of the checkerboard lattice Hubbard model at quarter filling is one of the few exact ferromagnetic ground states known in the family of Hubbard models. When the nearest neighbor hopping, t1, is negligible compared with the second neighbor one, t2, the system reduces to a collection of Hubbard chains. We find that the 1D character is surprisingly robust as long as t1 < t2. This phenomenon of dimensional reduction due to the geometrical frustration leads to peculiar magnetic orders with 1D character for intermediate U and is responsible for odd-frequency superconducting states close to the magnetic boundary.

arXiv comment4 pages, 5 figures

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• SU(3) Dirac electrons in the 1/5-depleted square-lattice Hubbard model at 1/4 filling
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Microscopic theory of a superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)${}_2$ClO${}_4$: Model derivation and two-particle self-consistent analysis
• Effects of geometrical frustration on ferromagnetism in the Hubbard model on the Shastry-Sutherland lattice
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Strictly one dimensional behavior emerging from dispersive two dimensional system: implications on metallic nanowires on semiconducting substrates