Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-06
Physics
Condensed Matter
Strongly Correlated Electrons
67 pages, 6 figures
Scientific paper
We find evidence that for zero spin density $m=0$, intermediate $U/4t$ values, and a range $x\in (x_c,x_*)$ of finite hole concentrations the ground state of the virtual-electron pair quantum liquid obtained from perturbing the square-lattice quantum liquid of Ref. \cite{companion2} by weak three-dimensional (3D) uniaxial anisotropy and intrinsic disorder has long-range $d$-wave superconducting order. Here $t$ is the effective nearest-neighbor transfer integral and $U$ the effective on-site repulsion. The long-range $d$-wave superconducting order emerges below a critical temperature $T_c$ for a hole concentration range centered at $x_{op}= (x_c+x_*)/2$. It results from the effects of the residual interactions of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of Ref. \cite{companion2}, as a by-product of the short-range spin correlations. Rather than the $U(1)$ symmetry contained in the $\eta$-spin $SU(2)$ symmetry of the $SO(4) = [SU(2)\times SU(2)]/Z_2$ symmetry, the $U(1)$ symmetry broken at $T_c$ is the $c$ fermion $U(1)$ symmetry of Ref. \cite{bipartite}. It is contained in the extended global $SO(3)\times SO(3)\times U(1)=[SO(4)\times U(1)]/Z_2$ symmetry of the Hubbard model on the square lattice. Our preliminary results seem to indicate that combining the electronic correlations described by the square-lattice quantum liquid perturbed by 3D uniaxial anisotropy with the very weak effects of intrinsic disorder or superfluid-density anisotropy leads for the hole-concentration range $x\in (x_c,x_*)$ to a successful description of the universal properties of the hole-doped cuprate superconductors.
No associations
LandOfFree
d-wave superconductivity in the virtual-electron pair quantum liquid does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with d-wave superconductivity in the virtual-electron pair quantum liquid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and d-wave superconductivity in the virtual-electron pair quantum liquid will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-57867