We study the charge-density-wave order and its competition with superconductivity in the one-band Hubbard model for high- ${T}_{c}$ superconducting cuprates. We use cluster dynamical mean field theory at $T=0$ . The one-band Hubbard model contains only copper atoms, and a physical charge-density wave with charge excesses located on the oxygen atoms manifests itself as a bond-density wave (BDW) within this context. It arises purely out of local correlation effects and also leads to an ${s}^{\ensuremath{'}}$-wave pair-density wave in the presence of $d$ -wave superconductivity. The $d$ -wave BDW is suppressed on increasing $U$ and is favored on increasing the magnitude of the second-neighbor hopping ${t}^{\ensuremath{'}}$. Further, the $d$ -wave BDW order is weakened when in competition with superconductivity, as seen in experiments. Additionally, it behaves quite differently on varying $U$ in the superconducting state compared to the normal state.We study the charge-density-wave order and its competition with superconductivity in the one-band Hubbard model for high-${T}_{c}$ superconducting cuprates. We use cluster dynamical mean field theory at $T=0$. The one-band Hubbard model contains only copper atoms, and a physical charge-density wave with charge excesses located on the oxygen atoms manifests itself as a bond-density wave (BDW) within this context. It arises purely out of local correlation effects and also leads to an ${s}^{\ensuremath{'}}$-wave pair-density wave in the presence of $d$-wave superconductivity. The $d$-wave BDW is suppressed on increasing $U$ and is favored on increasing the magnitude of the second-neighbor hopping ${t}^{\ensuremath{'}}$. Further, the $d$-wave BDW order is weakened when in competition with superconductivity, as seen in experiments. Additionally, it behaves quite differently on varying $U$ in the superconducting state compared to the normal state.

arXiv:2008.08661Physical review. B./Physical review. BJan 29, 202110 citations

d-Wave Pairing in the Strong-Coupling 2D Hubbard Model

Thomas Pruschke, Thomas Maier, J. Keller +1 more

Springer eBooksJan 1, 20010 citations

Quantum Monte Carlo study of the pairing symmetry competition in the Hubbard model

Kazuhiko Kuroki, Yukio Tanaka, T. Kimura +1 more

To shed light into the pairing mechanism of possible spin triplet superconductors ${(\text{TMTSF})}_{2}X$ and ${\text{Sr}}_{2}{\text{RuO}}_{4}$ , we study the competition among various spin singlet and triplet pairing channels in the Hubbard model by calculating the pairing interaction vertex using the ground state quantum Monte Carlo technique. We model ${(\text{TMTSF})}_{2}X$ by a quarter-filled quasi-one-dimensional (quasi-1D) Hubbard model, and the $\ensuremath{\gamma}$ band of ${\text{Sr}}_{2}{\text{RuO}}_{4}$ by a two-dimensional (2D) Hubbard model with a band filling of $\ensuremath{\sim}4∕3$. For the quasi-1D system, we find that triplet $f$ -wave pairing not only dominates over the triplet $p$ wave in agreement with the spin fluctuation theory, but also looks unexpectedly competitive against $d$ waves. For the 2D system, although the results suggest the presence of an attractive interaction in the triplet pairing channels, the $d$ -wave pairing interaction is found to be larger than those of the triplet channels.To shed light into the pairing mechanism of possible spin triplet superconductors ${(\text{TMTSF})}_{2}X$ and ${\text{Sr}}_{2}{\text{RuO}}_{4}$, we study the competition among various spin singlet and triplet pairing channels in the Hubbard model by calculating the pairing interaction vertex using the ground state quantum Monte Carlo technique. We model ${(\text{TMTSF})}_{2}X$ by a quarter-filled quasi-one-dimensional (quasi-1D) Hubbard model, and the $\ensuremath{\gamma}$ band of ${\text{Sr}}_{2}{\text{RuO}}_{4}$ by a two-dimensional (2D) Hubbard model with a band filling of $\ensuremath{\sim}4∕3$. For the quasi-1D system, we find that triplet $f$-wave pairing not only dominates over the triplet $p$ wave in agreement with the spin fluctuation theory, but also looks unexpectedly competitive against $d$ waves. For the 2D system, although the results suggest the presence of an attractive interaction in the triplet pairing channels, the $d$-wave pairing interaction is found to be larger than those of the triplet channels.

arXiv:cond-mat/0307553Physical Review BJun 18, 200431 citations

D-wave pairing in the two-dimensional Hubbard model with low filling

M. A. Baranov, M. Yu. Kagan

The European Physical Journal BJun 1, 199246 citations

d -Wave Pairing in the Presence of Long-Range Coulomb Interactions

Gökhan Esirgen, H.-B. Schüttler, N. E. Bickers

The one-band extended Hubbard model in two dimensions near band-filling $\frac{1}{2}$ is solved in the fluctuation exchange approximation, including the long-range ( $1/r$ ) part of the Coulomb interaction, up to 4th-neighbor distance. Our results suggest that ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing in the Hubbard model is robust against the inclusion of long-range Coulomb interactions with moderate 1st-neighbor repulsion strength ${V}_{1}$ . ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing is suppressed only at large ${V}_{1}$ ( $\ensuremath{\gtrsim}0.25U--0.4U$), due to incipient charge density wave instabilities.The one-band extended Hubbard model in two dimensions near band-filling $\frac{1}{2}$ is solved in the fluctuation exchange approximation, including the long-range ( $1/r$) part of the Coulomb interaction, up to 4th-neighbor distance. Our results suggest that ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing in the Hubbard model is robust against the inclusion of long-range Coulomb interactions with moderate 1st-neighbor repulsion strength ${V}_{1}$. ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing is suppressed only at large ${V}_{1}$ ( $\ensuremath{\gtrsim}0.25U--0.4U$), due to incipient charge density wave instabilities.

arXiv:cond-mat/9806264Physical Review LettersFeb 8, 199926 citations

We study the charge-density-wave order and its competition with superconductivity in the one-band Hubbard model for high-

{T}_{c}

superconducting cuprates. We use cluster dynamical mean field theory at

T=0

. The one-band Hubbard model contains only copper atoms, and a physical charge-density wave with charge excesses located on the oxygen atoms manifests itself as a bond-density wave (BDW) within this context. It arises purely out of local correlation effects and also leads to an ${s}^{\ensuremath{'}}$-wave pair-density wave in the presence of

d

-wave superconductivity. The

d

-wave BDW is suppressed on increasing

U

and is favored on increasing the magnitude of the second-neighbor hopping ${t}^{\ensuremath{'}}$. Further, the

d

-wave BDW order is weakened when in competition with superconductivity, as seen in experiments. Additionally, it behaves quite differently on varying

U

in the superconducting state compared to the normal state.

To shed light into the pairing mechanism of possible spin triplet superconductors

{(\text{TMTSF})}_{2}X

and

{\text{Sr}}_{2}{\text{RuO}}_{4}

, we study the competition among various spin singlet and triplet pairing channels in the Hubbard model by calculating the pairing interaction vertex using the ground state quantum Monte Carlo technique. We model

{(\text{TMTSF})}_{2}X

by a quarter-filled quasi-one-dimensional (quasi-1D) Hubbard model, and the $\ensuremath{\gamma}$ band of

{\text{Sr}}_{2}{\text{RuO}}_{4}

by a two-dimensional (2D) Hubbard model with a band filling of $\ensuremath{\sim}4∕3$. For the quasi-1D system, we find that triplet

f

-wave pairing not only dominates over the triplet

p

wave in agreement with the spin fluctuation theory, but also looks unexpectedly competitive against

d

waves. For the 2D system, although the results suggest the presence of an attractive interaction in the triplet pairing channels, the

d

-wave pairing interaction is found to be larger than those of the triplet channels.

The one-band extended Hubbard model in two dimensions near band-filling

\frac{1}{2}

is solved in the fluctuation exchange approximation, including the long-range (

1/r

) part of the Coulomb interaction, up to 4th-neighbor distance. Our results suggest that ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing in the Hubbard model is robust against the inclusion of long-range Coulomb interactions with moderate 1st-neighbor repulsion strength

{V}_{1}

. ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing is suppressed only at large

{V}_{1}

( $\ensuremath{\gtrsim}0.25U--0.4U$), due to incipient charge density wave instabilities.