Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates

Abstract

Establishing a minimal microscopic model for cuprates is a key step towards the elucidation of a high-Tc mechanism. By a quantitative comparison with a recent in situ angle-resolved photoemission spectroscopy measurement in doped 1D cuprate chains, our simulation identifies a crucial contribution from long-range electron-phonon coupling beyond standard Hubbard models. Using reasonable ranges of coupling strengths and phonon energies, we obtain a strong attractive interaction between neighboring electrons, whose strength is comparable to experimental observations. Non-local couplings play a significant role in the mediation of neighboring interactions. Considering the structural and chemical similarity between 1D and 2D cuprate materials, this minimal model with long-range electron-phonon coupling will provide important new insights on cuprate high-TC superconductivity and related quantum phases.

Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain

“…1(c)]. A slight reduction of on-site U or enhancement of near-neighbor attraction V may drive it into the TS phase -both can be achieved by manipulating the electron-phonon coupling either inside the crystal or via a substrate [2].…”

“…However, the most recent in situ ARPES experiment has revealed an anomalously strong attraction V < 0 between NN electrons [1], in the quasi-1D cuprate chains [25][26][27]. In contrast to the intrinsic electronelectron Coulomb repulsion, this attractive interaction is likely to be mediated by the strong electron-phonon coupling in transition metal oxides [2]. Such an effective attraction largely missed previously may serve as a key ingredient in both understanding the high-T c superconductivity and enabling exotic quantum phases in correlated materials.…”

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In quantum materials, the electronic interaction and the electron-phonon coupling are in general two essential ingredients, the combined impact of which may drive exotic phases. Recently, an anomalously strong electron-electron attraction, mediated by phonons, has been unveiled in one-dimensional (1D) copper-oxide chain compound [1,2]. Yet it is unclear how this strong near-neighbor (NN) attraction V influences the superconductivity pairing.

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Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

“…In the present work we perform such a study in the one-dimensional extended Fermi-Hubbard (EFH) model at half filling, which incorporates on-site and nearest-neighbor density-density interaction. This model not only generalizes the seminal and widely-studied Fermi-Hubbard model, whose dynamics has been intensively explored experimentally with cold atoms in optical lattices [6,[54][55][56][57]; it is also known to possess a rich ground-state phase diagram [58][59][60][61], and has been recently proposed to explain properties of one-dimensional quantum materials [62,63]. We analyze DQPTs emerging at early times from quantum quenches in one or both of the interaction terms, with special focus on the Fermi-Hubbard limit and charge density wave (CDW) states.…”

Superconductivity, nematicity, and charge density wave in high-Tc cuprates: A common thread

“…Due to structural and chemical similarities among cuprates, such a NN attraction may also be applicable to the 2D high-T c cuprates. Physically, V OO can arise from coupling to certain bosonic excitations, such as quantized waves of electronic polarization [55] and phonons [56][57][58].…”