Spin-triplet pairing induced by near-neighbor attraction in the extended Hubbard model for cuprate chain

Qu, Dai-Wei; Chen, Bin-Bin; Jiang, Hong-Chen; Wang, Yao; Li, Wei

doi:10.1038/s42005-022-01030-x

Cited by 19 publications

(4 citation statements)

References 78 publications

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“…For example, as shown in Ref. [65], at U = 1.6, the conventional approach gives a value of K ρ ∼ 0.5 at half-filling, even with system size as large as L = 512 (See also Sec. VI in SM).…”

Section: Disorder Operator and Ee In A Luttinger Liquidmentioning

confidence: 80%

“…In this section, we briefly recapitulate basic results from the Tomonaga-Luttinger liquid theory [62,112,113], on the charge correlations which constitutes an prevailing way to extract the Luttinger charge exponent K ρ numerically [65,114,115]. For the results listed below, we focus on the case with spin SU(2) symmetry and have the Luttinger parameter K σ = 1 for the spin gapless states.…”

Section: A6 Section Vi: Traditional Way To Determine the Luttinger Pa...mentioning

confidence: 99%

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Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

Jiang,

Chen,

Liu

et al. 2023

SciPost Phys.

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Motivated by recent development of the concept of the disorder operator and its relation with entanglement entropy in bosonic systems, here we show the disorder operator successfully probes many aspects of quantum entanglement in fermionic many-body systems. From both analytical and numerical computations in free and interacting fermion systems in 1D and 2D, we find the disorder operator and the entanglement entropy exhibit similar universal scaling behavior, as a function of the boundary length of the subsystem, but with subtle yet important differences. In 1D they both follow the \log{L}logL scaling behavior with the coefficient determined by the Luttinger parameter for disorder operator, and the conformal central charge for entanglement entropy. In 2D they both show the universal L\log LLlogL scaling behavior in free and interacting Fermi liquid states, with the coefficients depending on the geometry of the Fermi surfaces. However at a 2D quantum critical point with non-Fermi-liquid state, extra symmetry information is needed in the design of the disorder operator, so as to reveal the critical fluctuations as does the entanglement entropy. Our results demonstrate the fermion disorder operator can be used to probe quantum many-body entanglement related to global symmetry, and provide new tools to explore the still largely unknown territory of highly entangled fermion quantum matter in 2 or higher dimensions.

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Section: Disorder Operator and Ee In A Luttinger Liquidmentioning

confidence: 80%

Section: A6 Section Vi: Traditional Way To Determine the Luttinger Pa...mentioning

confidence: 99%

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

Jiang,

Chen,

Liu

et al. 2023

SciPost Phys.

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“…Accordingly, the SC pairing symmetry is consistent with d xy rather than d x 2 −y 2 wave. Similar to the singleband Hubbard model on the square lattice Chen Z. et al ( 2021); Qu et al (2022); Peng et al (2023), the finite electronic attractions V pd and V pp , especially V pp between oxygen sites, can notably enhance the SC correlations while simultaneously suppress the CDW correlations. For modestly strong V pp interaction, including both repulsion and attraction, the SC correlations become strong enough so that a quasi-long-range PDW order emerges with K sc < 2 and divergent static PDW susceptibility.…”

Section: Phase Diagrammentioning

confidence: 89%

Pair density wave and superconductivity in a kinetically frustrated doped Emery model on a square lattice

Jiang,

Devereaux

2023

Front. Electron. Mater

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The quest to understand the nature of superconductivity in the cuprates has spotlighted the pair density wave (PDW)–a superconducting state characterized by a spatially modulated order parameter. Despite significant advances in understanding PDW properties, conclusively demonstrating its presence in systems pertinent to cuprate superconductors remains elusive. In this study, we present a systematic density-matrix renormalization group study to investigate the Emery model (or the three-band Hubbard model) on two-leg square cylinders with negative electron hopping term tpp between adjacent oxygen sites. Kinetic frustration - introduced by changing the sign of oxygen-oxygen hopping - leads to a much reduced Cu-Cu antiferromagnetic exchange along with an enlarged charge transfer energy that changes the local properties of the model. At light doping levels, our findings reveal a ground state remarkably consistent with a PDW, exhibiting mutually commensurate superconducting (SC), charge, and spin density wave correlations. Intriguingly, the dominant SC pairing is observed between neighboring oxygen sites, diverging from the expected Cu sites in the positive tpp case. When the system incorporates moderate near-neighbor interactions, particularly an attractive Vpp between adjacent oxygen sites, the SC correlations become quasi-long-ranged, accompanied by a pronounced divergence in the PDW susceptibility. When the attractive Vpp increases further, the system gives way to an unconventional d-wave superconductivity.

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“…Our prediction of a NM regime beyond ∼ 35% doping level, where no local magnetic moment can be stabilized, offers a possible explanation for the disappearance of the holon folding band at > 30% hole doping, indicating the importance of spin degree of freedom. Our first principles calculations therefore suggest that the competing electronic states driven by the interplay between charge, orbital, and spin can be important in addition to the electron-phonon coupling [26] for deriving the microscopic understanding of the spectroscopic observations that are intensively pursued [5,[32][33][34].…”

Section: The Size Of the (H Nncmentioning

confidence: 92%

Emergence of competing electronic states from non-integer nuclear charges

Furness¹,

Zhang²,

Kidd³

et al. 2023

Preprint

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Understanding many-electron phenomena with competing near-degenerate electronic states is of fundamental importance to chemistry and condensed matter physics. One of the most significant challenges for exploring such many-electron phenomena is the necessity for large system sizes in order to realize competing states, far beyond those practical for first-principles methods. Here, we show how allowing non-integer nuclear charges expands the space of computationally tractable electron systems that host competing electronic states. The emergence of competing electronic states from non-integer nuclear charges is exemplified in the simple 2electron H 2 molecule and used to examine the microscopic structure of doped quasi-1D cuprate chains, showing how non-integer nuclear charges can open a window for first-principles calculations of difficult many-electron phenomena.Complex materials are those exhibiting many-electron physics emerging from competition between intertwined charge, spin, orbital, and lattice degrees of freedom [1]. While scientifically interesting in their own right, such materials present enormous technological potential as high-temperature superconductors and materials with charge-density wave orders. Understanding the competition between intertwined states remains a key step in controlling these desirable properties and their evolution under external controls like doping, temperature, pressure, and electromagnetic field.Effective Hamiltonian models such as the Hubbard model [2] have been important tools in these studies, e.g., for cuprate superconductors [3,4]. These effective Hamiltonian models provide a generic description of competing electronic states that can be extended to better model specific classes of systems. For example, the 1D Hubbard model with the on-site Coulomb repulsion can be extended to include a near-neighbor attraction to better match

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Spin-triplet pairing induced by near-neighbor attraction in the extended Hubbard model for cuprate chain

Cited by 19 publications

References 78 publications

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

Pair density wave and superconductivity in a kinetically frustrated doped Emery model on a square lattice

Emergence of competing electronic states from non-integer nuclear charges

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