Stripe order in the underdoped region of the two-dimensional Hubbard model

Zheng, Bo-Xiao; Chung, Chia-Min; Corboz, Philippe; Ehlers, Georg; Qin, Ming-Pu; Noack, Reinhard M.; Shi, Hao; White, Steven R.; Zhang, Shiwei; Chan, Garnet Kin-Lic

doi:10.1126/science.aam7127

Science

2017

DOI: 10.1126/science.aam7127

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Stripe order in the underdoped region of the two-dimensional Hubbard model

Bo-Xiao Zheng,

Chia-Min Chung,

Philippe Corboz

et al.

Abstract: † These authors contributed equally to the calculations in this work.Competing inhomogeneous orders are a central feature of correlated electron materials including the high-temperature superconductors. The twodimensional Hubbard model serves as the canonical microscopic physical model for such systems. Multiple orders have been proposed in the underdoped part of the phase diagram, which corresponds to a regime of maximum numerical difficulty. By combining the latest numerical methods in exhaustive simulations… Show more

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Cited by 636 publications

(511 citation statements)

References 72 publications

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“…The hole density are represented by green circles. As expected, we observe the well-known stripe structure [38] of an oscillating charge density, combined with incommensurate antiferromagnetism. The charge oscillation is edge-centered at the top and bottom of the lattice, but appears to be site-centered in the middle.…”

Section: Resultssupporting

confidence: 88%

Improved contraction of finite projected entangled pair states

Scheb

2025

Preprint

0

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…The hole density are represented by green circles. As expected, we observe the well-known stripe structure [38] of an oscillating charge density, combined with incommensurate antiferromagnetism. The charge oscillation is edge-centered at the top and bottom of the lattice, but appears to be site-centered in the middle.…”

Section: Resultssupporting

confidence: 88%

Improved contraction of finite projected entangled pair states

Scheb

2025

Preprint

0

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…As expected theoretically from the LE liquid, we find the relation K c K sc = 1 holds within the numerical uncertainty. This is in sharp contrast to previous studies [3,5] without NNN electron hopping term, i.e., t = 0, where the "filled" stripes persist in the limit L x = ∞ while a quasi-long-range superconducting correlation is absent. It is however consistent with recent DMRG re- sults from the lightly doped t-J model on 4-leg cylinders with "half-filled" charge stripes [13].…”

contrasting

confidence: 99%

“…1A) and antiferromagnetic ordering with a modulation of wavelength l = 2/d (i.e., l = 1/6). Consistent with Hartree-Fock calculations (17)(18)(19) and previous numerical studies (3,5), these charge stripes carry a wave vector Q = 2pd and so there is one doped hole per unit cell (Fig. 1A); this state is referred to as "filled" stripes.…”

Section: Principal Resultssupporting

confidence: 78%

Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′

Jiang,

Devereaux

2019

Science

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…5, which represents a CuO 2 plane consisting of regions of uniform d -wave SC and regions with the stripe orders. This is the sort of structure expected when two-phase coexistence is frustrated either by disorder or long-range interactions 3,4 , and is consistent with recent numerical studies that find near degeneracy between SC and stripe state 46,47 . This picture also provides a plausible explanation for the seemingly contradictory CDW results on x = 0.12 LSCO, where the CDW peak intensity increases (ref.…”

Section: Discussionsupporting

confidence: 90%

Observation of two types of charge-density-wave orders in superconducting La2-xSrxCuO4

Wen,

Huang,

Lee

et al. 2019

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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