Superconducting Phases of the Square-Lattice Extended Hubbard Model

Chen, Wei-Chih; Wang, Yao; Chen, Cheng-Chien

doi:10.48550/arxiv.2206.01119

Cited by 3 publications

(4 citation statements)

References 50 publications

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“…Nonlocal Coulomb interactions are also argued to be important in graphene 8 because of poor screening, and in magicangle twisted bilayer graphene 9 because of the peculiar three-lobe Wannier functions for the low energy electron degrees of freedom [10][11][12] . These progresses renew the interest in the extended Hubbard model with the on-site Hubbard U and density-density interactions V on neighboring bonds [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] .…”

Section: Introductionmentioning

confidence: 95%

Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions

Ye¹,

Wang²,

Wang³

2022

Preprint

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We design a novel formalism of determinant quantum Monte Carlo method for the half-filled Hubbard model with on-site Hubbard interaction U and nearest neighbor density-density interaction V on the square lattice. The formalism is free of sign problem for |U | ≥ 4|V |, and is achieved by introducing discrete auxiliary fields on the nearest-neighbor bonds alone. Using this formalism, we study the ground state phase diagram of the model systematically. Within the sign-problem free parameter space |U | ≥ 4|V |, we obtain antiferromagnetism for U ≥ 4|V | > 0, charge density wave for U < −4V and V > 0, s-wave superconductivity for U < 0 and small negative V , and phase separation for U < 0 and a larger negative V . We also obtain the single particle gap and spin excitation spectra, and by comparison to mean field results, as well as available literatures, we discuss the possible phase boundary beyond the sign-problem free region. The unbiased numerically exact results can be taken as benchmarks in future studies. Finally, we discuss possible extension for longer-range interactions in the model.

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Section: Introductionmentioning

confidence: 95%

Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions

Ye¹,

Wang²,

Wang³

2022

Preprint

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“…Such orders can be inferred to exist in various materials such as transition metal dichalcogenides [21][22][23][24][25] and cuprate supercondoctors [26][27][28][29][30][31][32][33][34][35][36][37]. Numerous experiments and theoretical studies have also indicated the importance of competing multiple orders with inhomogeneity [38][39][40][41][42][43][44][45]. In addition, it is considered that inhomogeneity acts as a trigger in the initial process of the photoinduced phase transition [42,46,47].…”

Section: Introductionmentioning

confidence: 99%

“…To describe such a system, we use the extended attractive Hubbard model (EAHM) with an onsite attractive interaction 𝑈 < 0 and nearest-neighbor repulsive interaction 𝑉 > 0 on a square lattice. The EAHM is known to host a variety of exotic SC phases such as 𝑠-wave, 𝑝-wave and 𝑑-wave symmetries [45,[66][67][68]. At half-filling, because 𝑉 > 0, the CDW order is stabilized as the ground state, and the SC orders are destabilized.…”

Section: Introductionmentioning

confidence: 99%

Photoinduced pseudospin-wave emission from charge-density-wave domain wall with superconductivity

Yukihiro¹,

Yumoto²,

Matsueda³

2023

Preprint

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We study photoinduced dynamics triggered by an inhomogeneity due to competition between charge density waves (CDWs) and superconductivity. As a simple example, we consider the superconducting (SC) interface between two CDW domains with opposite signs. The real-time dynamics are calculated within the timedependent Hartree-Fock-Bogoliubov framework, where the order parameter dynamics and the nonequilibrium quasiparticle distribution functions are studied. We also calculate the various dynamical response functions within a generalized random phase approximation. Through comparisons between the real time dynamics and the analysis of the response functions, it is found that the photo-driven SC interface can emit collective modes of the SC order parameter. This is analogous to the spin wave emission from the magnetic domain wall in an antiferromagnet, particularly in the case of a low driving frequency, where the order parameters can be mapped onto the pseudospin picture. In the high-frequency case, we find a domain wall melting caused by changes in the quasiparticle distribution, which induces superconductivity in the whole system.

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“…To downfold to a single band model, Zhang and Rice argued that holes on oxygen sites bind to holes on copper sites to form local singlets [20]. The Zhang-Rice singlet picture has gained support from experiments [21][22][23] as well as calculations [13,14,24,25], and motivated studies of various single-band Hubbard [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] and t-J models [46][47][48][49][50][51][52][53][54].…”

mentioning

confidence: 99%

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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Superconducting Phases of the Square-Lattice Extended Hubbard Model

Cited by 3 publications

References 50 publications

Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions

Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions

Photoinduced pseudospin-wave emission from charge-density-wave domain wall with superconductivity

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

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