arXiv:cond-mat/0109374 · Physical review. B, Condensed matter

Suppression of static stripe formation by next-neighbor hopping

Bruce Normand, A. P. Kampf

Published Dec 19, 2001• 13 citations

Abstract

We show from real-space Hartree-Fock calculations within the extended Hubbard model that next-nearest neighbor ${(t}^{\ensuremath{'}})$ hopping processes act to suppress the formation of static charge stripes. This result is confirmed by investigating the evolution of charge-inhomogeneous corral and stripe phases with increasing ${t}^{\ensuremath{'}}$ of both signs. We propose that large ${t}^{\ensuremath{'}}$ values in YBCO prevent static stripe formation, while anomalously small ${t}^{\ensuremath{'}}$ in LSCO provides an additional reason for the appearance of static stripes only in these systems.

DOI: 10.1103/physrevb.65.020509

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arXiv:cond-mat/0109374 · Physical review. B, Condensed matter

Suppression of static stripe formation by next-neighbor hopping

Bruce Normand, A. P. Kampf

Published Dec 19, 2001• 13 citations

arXiv HTML PDF

Abstract

We show from real-space Hartree-Fock calculations within the extended Hubbard model that next-nearest neighbor

{(t}^{\ensuremath{'}})

hopping processes act to suppress the formation of static charge stripes. This result is confirmed by investigating the evolution of charge-inhomogeneous corral and stripe phases with increasing

{t}^{\ensuremath{'}}

of both signs. We propose that large

{t}^{\ensuremath{'}}

values in YBCO prevent static stripe formation, while anomalously small

{t}^{\ensuremath{'}}

in LSCO provides an additional reason for the appearance of static stripes only in these systems.

DOI: 10.1103/physrevb.65.020509

Related papers

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.

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Stripes in the extended $t-t^\prime$ Hubbard model: A Variational Monte Carlo analysisStripes in the extended $t-t^\prime$ Hubbard model: A Variational Monte Carlo analysis

Vito Marino, Federico Becca, Luca F. Tocchio

By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping \delta=1/8 δ = 1 / 8 , with both nearest- ( t t ) and next-nearest-neighbor hopping ( t^\prime t ′ ). Stripes with different wavelengths \lambda λ (denoting the periodicity of the charge inhomogeneity) and character (bond- or site-centered) are stabilized for sufficiently large values of the electron-electron interaction U/t U / t . The general trend is that \lambda λ increases going from negative to positive values of t^\prime/t t ′ / t and decreases by increasing U/t U / t . In particular, the \lambda=8 λ = 8 stripe obtained for t^\prime=0 t ′ = 0 and U/t=8 U / t = 8 [L.F. Tocchio, A. Montorsi, and F. Becca, SciPost Phys. 21 (2019)] shrinks to \lambda=6 λ = 6 for U/t\gtrsim 10 U / t ≳ 10 . For t^\prime/t<0 t ′ / t < 0 , the stripe with \lambda=5 λ = 5 </By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping \delta=1/8 δ = 1 / 8 , with both nearest- ( t t ) and next-nearest-neighbor hopping ( t^\prime t ′ ). Stripes with different wavelengths \lambda λ (denoting the periodicity of the charge inhomogeneity) and character (bond- or site-centered) are stabilized for sufficiently large values of the electron-electron interaction U/t U / t . The general trend is that \lambda λ increases going from negative to positive values of t^\prime/t t ′ / t and decreases by increasing U/t U / t . In particular, the \lambda=8 λ = 8 stripe obtained for t^\prime=0 t ′ = 0 and U/t=8 U / t = 8 [L.F. Tocchio, A. Montorsi, and F. Becca, SciPost Phys. 21 (2019)] shrinks to \lambda=6 λ = 6 for U/t\gtrsim 10 U / t ≳ 10 . For t^\prime/t<0 t ′ / t < 0 , the stripe with \lambda=5 λ = 5 </

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The influence of next-nearest-neighbor electron hopping ${t}^{\ensuremath{'}}$ on the polaron and bipolaron formation in a square Hubbard-Holstein model is investigated within a variational approach. The results for electron-phonon and electron-electron correlation functions show that a negative value of ${t}^{\ensuremath{'}}$ induces a strong anisotropy in the lattice distortions favoring the formation of nearest-neighbor intersite bipolaron. The role of ${t}^{\ensuremath{'}},$ electron-phonon and electron-electron interactions is briefly discussed in view of the formation of charged striped domains.The influence of next-nearest-neighbor electron hopping ${t}^{\ensuremath{'}}$ on the polaron and bipolaron formation in a square Hubbard-Holstein model is investigated within a variational approach. The results for electron-phonon and electron-electron correlation functions show that a negative value of ${t}^{\ensuremath{'}}$ induces a strong anisotropy in the lattice distortions favoring the formation of nearest-neighbor intersite bipolaron. The role of ${t}^{\ensuremath{'}},$ electron-phonon and electron-electron interactions is briefly discussed in view of the formation of charged striped domains.

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We study the competition between stripe states with different periods and a uniform $d$ -wave superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing strength of negative next-nearest neighbor hopping ${t}^{\ensuremath{'}}$, the preferred period of the stripe decreases. For the values of ${t}^{\ensuremath{'}}$ predicted for cuprate high- ${T}_{c}$ superconductors, we find stripes with a period 4 in the charge order, in agreement with experiments. Superconductivity in the period 4 stripe is suppressed at $1/8$ doping. Only at larger doping, $0.18\ensuremath{\lesssim}\ensuremath{\delta}<0.25$, the period 4 stripe exhibits coexisting $d$ -wave superconducting order. The uniform $d$ -wave state is only favored for sufficiently large positive ${t}^{\ensuremath{'}}$.We study the competition between stripe states with different periods and a uniform $d$-wave superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing strength of negative next-nearest neighbor hopping ${t}^{\ensuremath{'}}$, the preferred period of the stripe decreases. For the values of ${t}^{\ensuremath{'}}$ predicted for cuprate high-${T}_{c}$ superconductors, we find stripes with a period 4 in the charge order, in agreement with experiments. Superconductivity in the period 4 stripe is suppressed at $1/8$ doping. Only at larger doping, $0.18\ensuremath{\lesssim}\ensuremath{\delta}<0.25$, the period 4 stripe exhibits coexisting $d$-wave superconducting order. The uniform $d$-wave state is only favored for sufficiently large positive ${t}^{\ensuremath{'}}$.

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Stripe correlations in the two-dimensional Hubbard-Holstein model

Seher Karakuzu, Andy Tanjaroon Ly, Peizhi Mai +3 more

Abstract Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many experiments, however, also indicate that the cuprates have strong electron-phonon (e-ph) coupling, and it is unclear how this interaction influences stripe correlations. We study static and fluctuating stripe orders in the doped single-band Hubbard-Holstein model using zero temperature variational Monte Carlo and finite temperature determinant quantum Monte Carlo. We find that the lattice couples more strongly with the charge component of the stripes, leading to an enhancement or suppression of stripe correlations, depending on model parameters like the next-nearest-neighbor hopping ${t}^{{\prime} }$ t′ or phonon energy Ω. Our results help elucidate how thee-ph interaction can tip the delicate balance between stripe and superconducting correlations in the Hubbard-Holstein model with implications for our understanding of the high-Tccuprates.Abstract Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many experiments, however, also indicate that the cuprates have strong electron-phonon (e-ph) coupling, and it is unclear how this interaction influences stripe correlations. We study static and fluctuating stripe orders in the doped single-band Hubbard-Holstein model using zero temperature variational Monte Carlo and finite temperature determinant quantum Monte Carlo. We find that the lattice couples more strongly with the charge component of the stripes, leading to an enhancement or suppression of stripe correlations, depending on model parameters like the next-nearest-neighbor hopping $${t}^{{\prime} }$$ t′ or phonon energy Ω. Our results help elucidate how thee-ph interaction can tip the delicate balance between stripe and superconducting correlations in the Hubbard-Holstein model with implications for our understanding of the high-Tccuprates.

arXiv:2205.15464Communications PhysicsDec 2, 202223 citations

We show from real-space Hartree-Fock calculations within the extended Hubbard model that next-nearest neighbor

{(t}^{\ensuremath{'}})

hopping processes act to suppress the formation of static charge stripes. This result is confirmed by investigating the evolution of charge-inhomogeneous corral and stripe phases with increasing

{t}^{\ensuremath{'}}

of both signs. We propose that large

{t}^{\ensuremath{'}}

values in YBCO prevent static stripe formation, while anomalously small

{t}^{\ensuremath{'}}

in LSCO provides an additional reason for the appearance of static stripes only in these systems.

Stripes in the extended

t-t^\prime

Hubbard model: A Variational Monte Carlo analysis

We study the competition between stripe states with different periods and a uniform

d

-wave superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing strength of negative next-nearest neighbor hopping ${t}^{\ensuremath{'}}$, the preferred period of the stripe decreases. For the values of ${t}^{\ensuremath{'}}$ predicted for cuprate high-

{T}_{c}

superconductors, we find stripes with a period 4 in the charge order, in agreement with experiments. Superconductivity in the period 4 stripe is suppressed at

1/8

doping. Only at larger doping, $0.18\ensuremath{\lesssim}\ensuremath{\delta}<0.25$, the period 4 stripe exhibits coexisting

d

-wave superconducting order. The uniform

d

-wave state is only favored for sufficiently large positive ${t}^{\ensuremath{'}}$.

{t}^{{\prime} }

t′ or phonon energy Ω. Our results help elucidate how thee-ph interaction can tip the delicate balance between stripe and superconducting correlations in the Hubbard-Holstein model with implications for our understanding of the high-Tccuprates.