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Title: Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1282432
Grant/Contract Number:
SC0008627
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 8; Related Information: CHORUS Timestamp: 2016-08-04 18:11:21; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Qin, Mingpu, Shi, Hao, and Zhang, Shiwei. Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.085103.
Qin, Mingpu, Shi, Hao, & Zhang, Shiwei. Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method. United States. doi:10.1103/PhysRevB.94.085103.
Qin, Mingpu, Shi, Hao, and Zhang, Shiwei. Thu . "Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method". United States. doi:10.1103/PhysRevB.94.085103.
@article{osti_1282432,
title = {Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method},
author = {Qin, Mingpu and Shi, Hao and Zhang, Shiwei},
abstractNote = {},
doi = {10.1103/PhysRevB.94.085103},
journal = {Physical Review B},
number = 8,
volume = 94,
place = {United States},
year = {Thu Aug 04 00:00:00 EDT 2016},
month = {Thu Aug 04 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.94.085103

Citation Metrics:
Cited by: 10works
Citation information provided by
Web of Science

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  • Cited by 10
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  • We implement a quantum Monte Carlo calculation for a repulsive Hubbard model with nearest- and next-nearest-neighbor hopping interactions on clusters up to 12{times}12. A parameter region where the Fermi level lies close to the van Hove singularity at the saddle points in the bulk band structure is investigated. A pairing tendency in the {ital d}{sub {ital x}{sup 2}{minus}{ital y}{sup 2}} symmetry channel, but no other channel, is found. Estimates of the effective pairing interaction show that it is close to the value required for a 40 K superconductor. Finite-size scaling compares with the attractive Hubbard model. {copyright}{ital 1996 The Americanmore » Physical Society.}« less
  • Using dynamic cluster quantum Monte Carlo simulations, we study the superconducting behavior of a 1=8 doped two-dimensional Hubbard model with imposed unidirectional stripelike charge-density-wave modulation. We find a significant increase of the pairing correlations and critical temperature relative to the homogeneous system when the modulation length scale is sufficiently large. With a separable form of the irreducible particle-particle vertex, we show that optimized superconductivity is obtained for a moderate modulation strength due to a delicate balance between the modulation enhanced pairing interaction, and a concomitant suppression of the bare particle-particle excitations by a modulation reduction of the quasiparticle weight.
  • A dynamic cluster quantum Monte Carlo approximation is used to study the effective pairing interaction of a 2D Hubbard model with a near neighbor hoppingmore » $t$ and an on-site Coulomb interaction $U$ . The effective pairing interaction is characterized in terms of the momentum and frequency dependence of the eigenfunction of the leading eigenvalue of the irreducible particle-particle vertex. The momentum dependence of this eigenfunction is found to vary as $$(\cos k_x-\cos k_y)$$ over most of the Brillouin zone and its frequency dependence is determined by the $S=1$ particle-hole continuum which for large $U$ varies as several times $J$. This implies that the effective pairing interaction is attractive for singlets formed between near-neighbor sites and retarded on a time scale set by $$(2J)^{-1}$$. The strength of the pairing interaction measured by the size of the d-wave eigenvalue peaks for $U$ of order the bandwidth $8t$. It is found to increase as the system is underdoped.« less