Fluctuating intertwined stripes in the strange metal regime of the Hubbard model

Huang, Edwin W.; Liu, Tianyi; Wang, Wen O.; Jiang, Hongchen; Mai, Peizhi; Maier, Thomas; Johnston, Steven; Moritz, Brian; Devereaux, T. P.

doi:10.48550/arxiv.2202.08845

Cited by 3 publications

(8 citation statements)

References 36 publications

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“…For λ = 0 [top row, Figs. 5(a),(b)], we observe fluctuating spin and charge stripe correlations consistent with prior work [20,24,25]. The spin correlations are evident from the short-range AFM correlations (blue) surrounded by other AFM domains where the magnetic correlations are flipped (red).…”

supporting

confidence: 88%

“…More recently, weaker charge stripe fluctuations have been reported in DCA simulations on large extended clusters [25], where the charge correlations were observed to develop after the spin correlations as the temperature is lowered in the hole-doped system. This hierarchy of the spin and charge correlations appears to be a general property of the singleband Hubbard model at finite temperature; it has been observed in subsequent constrained-path auxiliary-field QMC [26] and DQMC [24] simulations. Curiously, the behavior in real cuprates is reversed, where charge modulations tend to develop before spin modulations [3].…”

mentioning

confidence: 64%

“…In this scenario, different coupled spin and charge orders (i.e., stripes) and their fluctuations compete/cooperate with unconventional superconductivity giving rise to a complex phase diagram [1][2][3]. This behavior is observed not only experimentally [3][4][5][6][7][8] but also in single-and multi-band Hubbard models [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

mentioning

confidence: 99%

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Stripe correlations in the two-dimensional Hubbard-Holstein model

Karakuzu¹,

Tanjaroon²,

Mai³

et al. 2022

Preprint

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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 singleband 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 or phonon energy Ω. Our results help elucidate how the e-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-Tc cuprates.

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supporting

confidence: 88%

mentioning

confidence: 64%

mentioning

confidence: 99%

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Stripe correlations in the two-dimensional Hubbard-Holstein model

Karakuzu¹,

Tanjaroon²,

Mai³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…More recently, weaker charge stripe fluctuations have been reported in DCA simulations on large extended clusters 26 , where the charge correlations were observed to develop after the spin correlations as the temperature is lowered in the hole-doped system. This hierarchy of the spin and charge correlations appears to be a general property of the singleband Hubbard model at finite temperature; it has been observed in subsequent finite-temperature constrained-path auxiliary-field QMC 27 and DQMC 25 simulations. Curiously, the behavior in real cuprates is reversed, where charge modulations tend to develop before spin modulations 3 .…”

mentioning

confidence: 66%

“…In this scenario, different coupled unidirectional spin and charge orders (i.e., stripes) and their fluctuations compete/cooperate with unconventional superconductivity giving rise to a complex phase diagram [1][2][3] . This behavior is observed not only experimentally [3][4][5][6][7][8] but also in single-and multi-band Hubbard models [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] . For example, nonperturbative numerical methods that access zero-temperature properties frequently identify several nearly degenerate stripe and d-wave superconducting states for model parameters that are relevant to the cuprates 15,17,18,[22][23][24]29 .…”

mentioning

confidence: 91%

Stripe correlations in the two-dimensional Hubbard-Holstein model

et al. 2022

View full text Add to dashboard Cite

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 the e-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-Tc cuprates.

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A single-band model with enhanced pairing from DMRG-based downfolding of the three-band Hubbard model

Jiang¹,

Scalapino²,

White³

2023

Preprint

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Typical Wannier-function downfolding starts with a mean-field or density functional set of bands to construct the Wannier functions. Here we carry out a controlled approach, using DMRGcomputed natural orbital bands, to downfold the three-band Hubbard model to an effective single band model. A sharp drop-off in the natural orbital occupancy at the edge of the first band provides a clear justification for a single-band model. Constructing Wannier functions from the first band, we compute all possible two-particle terms and retain those with significant magnitude. The resulting single-band model includes two-site occupancy-dependent hopping terms with tn ∼ 0.6t. These terms lead to a reduction of the ratio U/t eff , and are important in capturing the doping-asymmetric carrier mobility, as well as in enhancing the pairing in a single-band model for the hole-doped cuprates. A measurement of the superconducting phase stiffness reveals that a mean-field treatment of the new terms is not nearly as effective in enhancing pairing as the terms themselves.

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Fluctuating intertwined stripes in the strange metal regime of the Hubbard model

Cited by 3 publications

References 36 publications

Stripe correlations in the two-dimensional Hubbard-Holstein model

Stripe correlations in the two-dimensional Hubbard-Holstein model

Stripe correlations in the two-dimensional Hubbard-Holstein model

A single-band model with enhanced pairing from DMRG-based downfolding of the three-band Hubbard model

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