Stability of the coexistent superconducting-nematic phase under the presence of intersite interactions

Abstract

We analyze the effect of intersite-interaction terms on the stability of the coexisting superconucting-nematic phase (SC+N) within the extended Hubbard and $t$-$J$-$U$ models on the square lattice. In order to take into account the correlation effects with a proper precision, we use the approach based on the \textit{diagrammatic expansion of the Gutzwiller wave function} (DE-GWF), which goes beyond the renormalized mean field theory (RMFT) in a systematic manner. As a starting point of our analysis we discuss the stability region of the SC+N phase on the intrasite Coulomb repulsion-hole doping plane for the case of the Hubbard model. Next, we show that the exchange interaction term enhances superconductivity while suppresses the nematicity, whereas the intersite Coulomb repulsion term acts in the opposite manner. The competing character of the SC and N phases interplay is clearly visible throughout the analysis. A universal conclusion is that the nematic phase does not survive within the $t$-$J$-$U$ model with the value of $J$ integral typical for the high-T${}_C$ cuprates ($J\approx 0.1$eV). For the sake of completeness, the effect of the correlated hopping term is also analyzed. Thus the present discussion contains all relevant two-site interaction terms which appear in the parametrized one-band model within the second quantization scheme. At the end, the influence of the higher-order terms of the diagrammatic expansion on the rotational symmetry breaking is also shown by comparing the DE-GWF results with those corresponding to the RMFT.

References in corpus (17)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Bond order instabilities in a correlated two-dimensional metal
• Competition between antiferromagnetism and superconductivity, electron-hole doping asymmetry and "Fermi Surface" topology in cuprates
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Competition of Fermi surface symmetry breaking and superconductivity
• Magnetism and superconductivity in the $t-t^{\prime }-J$ model
• Universal properties of high-temperature superconductors from real-space pairing III: The role of correlated hopping and intersite Coulomb interaction within the t-J-U model
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment
• Gutzwiller Density Functional Theory: a formal derivation and application to ferromagnetic nickel
• Interplay of Pomeranchuk instability and superconductivity in the two-dimensional repulsive Hubbard model
• Antiferromagnetism, charge density wave, and d-wave superconductivity in the extended $t$--$J$--$U$ model: role of intersite Coulomb interaction and a critical overview of renormalized mean field theory
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Metallization of solid molecular hydrogen in two dimensions: Mott-Hubbard-type transition

Cited by in corpus (5)

• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Superconductivity in the three-band model of cuprates: Variational wave function study and relation to the single-band case
• Incorporation of charge- and pair-density-wave states into the one-band model of d-wave superconductivity
• Superconductivity and intra-unit-cell electronic nematic phase in the three-band model of cuprates
• Influence of the symmetry of the hybridization on the critical temperature of multi-band superconductors