The two-dimensional extended $t\ensuremath{-}J$ model is studied computationally in a broad region of parameter space, motivated by recent photoemission experiments for the undoped cuprate ${\mathrm{Ca}}_{2}{\mathrm{CuO}}_{2}{\mathrm{Cl}}_{2}$ [F. Ronning et al., Science 282, 2067 (1998)]. The one-hole ground state is shown to develop robust antiferromagnetic (AF) correlations between spins separated by the mobile hole (i.e., across the hole). This effect tends to decouple charge from spin, and the quasiparticle weight becomes negligible, particularly at momenta $(0,\ensuremath{\pi})\ensuremath{-}(\ensuremath{\pi},0).$ Studies with more holes show precursors of metallic stripe formation, with holes sharing their individual spin arrangements, and AF correlations generated across the stripe.The two-dimensional extended $t\ensuremath{-}J$ model is studied computationally in a broad region of parameter space, motivated by recent photoemission experiments for the undoped cuprate ${\mathrm{Ca}}_{2}{\mathrm{CuO}}_{2}{\mathrm{Cl}}_{2}$ [F. Ronning et al., Science 282, 2067 (1998)]. The one-hole ground state is shown to develop robust antiferromagnetic (AF) correlations between spins separated by the mobile hole (i.e., across the hole). This effect tends to decouple charge from spin, and the quasiparticle weight becomes negligible, particularly at momenta $(0,\ensuremath{\pi})\ensuremath{-}(\ensuremath{\pi},0).$ Studies with more holes show precursors of metallic stripe formation, with holes sharing their individual spin arrangements, and AF correlations generated across the stripe.

arXiv:cond-mat/9904030Physical review. B, Condensed matterAug 1, 199947 citations

Stability of metallic stripes in the one-band extended Hubbard model

G. Seibold, J. Lorenzana

Based on an unrestricted Gutzwiller approximation (GA) we investigate static stripe configurations with regard to the orientation and periodicity in an extended one-band Hubbard model. A negative ratio between next-nearest-neighbor and nearest-neighbor hoppings, ${t}^{\ensuremath{'}}/t,$ as appropriate for cuprates, favors partially filled (metallic) stripes for both vertical and diagonal configurations. At around optimal doping diagonal stripes and site centered (SC) and bond centered (BC) vertical stripes become degenerate suggesting strong lateral and orientational fluctuations. We find that within the GA the resulting phase diagram is in agreement with experiment whereas it is not in the Hartree-Fock approximation due to a strong overestimation of the stripe filling. Results are in agreement with previous calculations within the three-band Hubbard model but with the role of SC and BC stripes interchanged.Based on an unrestricted Gutzwiller approximation (GA) we investigate static stripe configurations with regard to the orientation and periodicity in an extended one-band Hubbard model. A negative ratio between next-nearest-neighbor and nearest-neighbor hoppings, ${t}^{\ensuremath{'}}/t,$ as appropriate for cuprates, favors partially filled (metallic) stripes for both vertical and diagonal configurations. At around optimal doping diagonal stripes and site centered (SC) and bond centered (BC) vertical stripes become degenerate suggesting strong lateral and orientational fluctuations. We find that within the GA the resulting phase diagram is in agreement with experiment whereas it is not in the Hartree-Fock approximation due to a strong overestimation of the stripe filling. Results are in agreement with previous calculations within the three-band Hubbard model but with the role of SC and BC stripes interchanged.

arXiv:cond-mat/0307636Physical Review BApr 21, 200443 citations

Stripe Phase in the t-J model

Chi-Ho Cheng, Tae-Wuk Lee, Wei‐Cheng Lee +1 more

APSMar 1, 20010 citations

Stripe structures in the t–t′-J model

Douglas J. Scalapino, Steven R. White

arXiv:1204.5212Physica C SuperconductivityApr 21, 201233 citations

Variational Monte Carlo study of stripes as a function of doping in the t−t′ Hubbard model

Antonio Lechiara, Vito Marino, Luca F. Tocchio

') neighbor hoppings. Our work investigates the consequences of increasing hole doping on the instauration of stripes and the behavior of the superconducting order parameter, with a discussion on how the two phenomena affect each other. We consider two different values of the next-nearest neighbor hopping parameter, that are appropriate for describing cuprate superconductors. We observe that stripes are the optimal state in a wide doping range; the stripe wavelength reduces at increasing doping, until stripes melt into a uniform state for large values of doping. Superconducting pair-pair correlations, indicating the presence of superconductivity, are always suppressed in the presence of stripes. Our results suggest that the phase diagram for the single-band Hubbard model is dominated by stripes, with superconductivity being possible only in a narrow doping range between striped states and a nonsuperconducting metal.') neighbor hoppings. Our work investigates the consequences of increasing hole doping on the instauration of stripes and the behavior of the superconducting order parameter, with a discussion on how the two phenomena affect each other. We consider two different values of the next-nearest neighbor hopping parameter, that are appropriate for describing cuprate superconductors. We observe that stripes are the optimal state in a wide doping range; the stripe wavelength reduces at increasing doping, until stripes melt into a uniform state for large values of doping. Superconducting pair-pair correlations, indicating the presence of superconductivity, are always suppressed in the presence of stripes. Our results suggest that the phase diagram for the single-band Hubbard model is dominated by stripes, with superconductivity being possible only in a narrow doping range between striped states and a nonsuperconducting metal.

arXiv:2403.02073Journal of Physics Condensed MatterJun 24, 20240 citations

The two-dimensional extended $t\ensuremath{-}J$ model is studied computationally in a broad region of parameter space, motivated by recent photoemission experiments for the undoped cuprate

{\mathrm{Ca}}_{2}{\mathrm{CuO}}_{2}{\mathrm{Cl}}_{2}

[F. Ronning et al., Science 282, 2067 (1998)]. The one-hole ground state is shown to develop robust antiferromagnetic (AF) correlations between spins separated by the mobile hole (i.e., across the hole). This effect tends to decouple charge from spin, and the quasiparticle weight becomes negligible, particularly at momenta $(0,\ensuremath{\pi})\ensuremath{-}(\ensuremath{\pi},0).$ Studies with more holes show precursors of metallic stripe formation, with holes sharing their individual spin arrangements, and AF correlations generated across the stripe.