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A variational Monte Carlo study of stripe stability in the two-dimensional t-J model

Kenji Kobayashi, 小林 憲司

Published Jan 1, 1999• 0 citations
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Stability of the striped phase in the two-dimensional t–J model: A variational Monte Carlo study

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Stripes 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 </

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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.

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The effect of the negative t′ term on the stripe formation in the two-dimensional t–J model

Akihiro Himeda, Masao Ogata

Journal of Physics and Chemistry of Solids•Jun 1, 2002•3 citations
Stripes in the extended t−t′t-t^\primet−t′ Hubbard model: A Variational Monte Carlo analysis
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 </
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′{t}^{{\prime} }t′ 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.