Superconductivity and Antiferromagnetism in Three-Dimensional Hubbard model

Abstract

Interplay between antiferromagnetism and superconductivity is studied by using the 3-dimensional nearly half-filled Hubbard model with anisotropic transfer matrices $t_{\mathrm{z}}$ and $t_{\perp }$. The phase diagrams are calculated for varying values of the ratio $r_{\mathrm{z}}=t_{\mathrm{z}}/t_{\perp }$ using the spin fluctuation theory within the fluctuation-exchange approximation. The antiferromagnetic phase around the half-filled electron density expands while the neighboring phase of the anisotropic $d_{x^2-y^2}$-wave superconductivity shrinks with increasing $r_{\mathrm{z}}$. For small $r_{\mathrm{z}}$ $T_{\mathrm{c}}$ decreases slowly with increasing $r_{\mathrm{z}}$. For moderate values of $r_{\mathrm{z}}$ we find the second order transition, with lowering temperature, from the $d_{x^2-y^2}$-wave superconducting phase to a phase where incommensurate SDW coexists with $d_{x^2-y^2}$-wave superconductivity. Resonance peaks as were discussed previously for 2D superconductors are shown to survive in the $d_{x^2-y^2}$-wave superconducting phase of 3D systems. Soft components of the incommensurate SDW spin fluctuation mode grow as the coexistent phase is approached.

8 pages, 5 figures. submitted to PRB

References in corpus (1)

• Orbital Fluctuation-Induced Triplet Superconductivity : Mechanism of Superconductivity in ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$

Cited by in corpus (14)

• Theory of Superconductivity in Strongly Correlated Electron Systems
• Strong-coupling theory of superconductivity in a degenerate Hubbard model
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Observation of Spin Susceptibility Enhancement in the Possible FFLO State in CeCoIn${}_5$
• From Kondo Lattices to Kondo Superlattices
• Triplet Cooper Pair Formation by Anomalous Spin Fluctuations in Non-centrosymmetric Superconductors
• Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth
• Theory on Superconductivity of CeIn3 in Heavy Fermion System
• Weak-coupling superconductivity in an anisotropic three-dimensional repulsive Hubbard model
• Two-Particle Self-Consistent Approach to Anisotropic Superconductivity
• Magnetic order in the repulsive Fermi-Hubbard model in three-dimensions and the crossover to two-dimensions
• d-Wave Spin Density Wave phase in the Attractive Hubbard Model with Spin Polarization
• Calculation of Penetration Depth and $T_c$ in $\kappa$-$($ET${)}_2$Cu(NCS)${}_2$ under Pressure