Doping dependence of the phase diagram in one-dimensional extended Hubbard model: a functional renormalization group study

Xiang, Yuanyuan; Liu, Xiaojie; Ying-han, Yuan; Cao, Jie; Tang, Chunmei

doi:10.1088/1361-648x/aafd4d

Cited by 6 publications

(2 citation statements)

References 41 publications

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“…The instabilities and emergent excitations of EHM with repulsive U and attractive V have been investigated using a few theoretical approximations and small-cluster simulations [28][29][30][31][32][33][34]. The consensus is that a spin-triplet superconducting (TS) instability is favored for an intermediate |V |, while a phase separation (PS) develops for stronger |V |s [31][32][33][34] In two dimensions, the triplet superconducting (SC) state is topologically non-trivial where the fractional excitation can emerge on the boundary [35][36][37][38][39]. However, quantum fluctuations are usually too strong in 1D such that interacting electrons in a Hubbard-type chain usually behave as a Tomonaga-Luttinger liquid (TLL), contradicting with the mean-field and smallcluster predictions.…”

Section: Introductionmentioning

confidence: 99%

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

Qu¹,

Chen²,

Jiang³

et al. 2021

Preprint

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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. In this work, we employ the density-matrix renormalization group (DMRG) method to study this experiment-relevant extended Hubbard model with on-site Coulomb repulsion U > 0 and NN attraction V < 0, relevant for the 1D cuprate chain and likely other similar transition-metal materials. We find this extended t-U -V model hosts a rich quantum phase diagram consisting of the spin density wave phase, phase separation phases, the Tomonaga-Luttinger liquid (TLL) phase, and especially an intriguing TLL regime with divergent superconducting susceptibility and dominant spin-triplet pair correlations. Upon doping, such a spin-triplet pairing regime can be further broadened in the parameter space and extends to larger U . Our results show robust triplet pairing induced by attractive interaction V , offering a feasible mechanism to realize p-wave superconductivity in 1D cuprates.

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Section: Introductionmentioning

confidence: 99%

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

Qu¹,

Chen²,

Jiang³

et al. 2021

Preprint

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“…A repulsive V can induce a charge density wave (CDW), and an attractive V was argued to favor spin-triplet superconductivity [28,29]. Already in 1D systems, a p-wave superconducting phase was predicted for repulsive U and attractive V in EHM [30][31][32][33]. Similar studies have been explored in 2D systems [34][35][36][37][38][39], using weak-coupling theory or with approximation in treating interaction effect.…”

Section: Introductionmentioning

confidence: 89%

Superconducting Phases of the Square-Lattice Extended Hubbard Model

Chen¹,

Wang²,

Chen³

2022

Preprint

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We study the square-lattice extended Hubbard model with on-site U and nearest-neighbor V interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries, which agree with the calculations of fidelity metric, dynamical structure factor, and correlation function. At half filling, the phase diagrams in the strong-coupling regime include spin density wave and d x 2 −y 2 -wave superconductivity at large positive U , charge density wave (extended s * -wave superconductivity) at large positive (negative) V , and s-wave superconductivity at large negative U with vanishing V . The energies of different particle sectors also help determine the phase separation region. With carrier doping, charge fluctuation result in strong competition between different orders, making it more difficult to identify the leading instability on finite-size cluster. Nevertheless, the more exotic p-wave superconducting pairing is found to be enhanced when the system is heavily overdoped by 37.5% − 50% holes, especially in interaction parameter range relevant to the cuprate superconductors.

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Witnessing light-driven entanglement using time-resolved resonant inelastic X-ray scattering

et al. 2023

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Characterizing and controlling entanglement in quantum materials is crucial for the development of next-generation quantum technologies. However, defining a quantifiable figure of merit for entanglement in macroscopic solids is theoretically and experimentally challenging. At equilibrium the presence of entanglement can be diagnosed by extracting entanglement witnesses from spectroscopic observables and a nonequilibrium extension of this method could lead to the discovery of novel dynamical phenomena. Here, we propose a systematic approach to quantify the time-dependent quantum Fisher information and entanglement depth of transient states of quantum materials with time-resolved resonant inelastic x-ray scattering. Using a quarter-filled extended Hubbard model as an example, we benchmark the efficiency of this approach and predict a light-enhanced many-body entanglement due to the proximity to a phase boundary. Our work sets the stage for experimentally witnessing and controlling entanglement in light-driven quantum materials via ultrafast spectroscopic measurements.

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Doping dependence of the phase diagram in one-dimensional extended Hubbard model: a functional renormalization group study

Cited by 6 publications

References 41 publications

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

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

Superconducting Phases of the Square-Lattice Extended Hubbard Model

Witnessing light-driven entanglement using time-resolved resonant inelastic X-ray scattering

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