One- and two-particle correlation functions in the cluster perturbation theory for cuprates

Abstract

Physics of high-$T_c$ superconducting cuprates is obscured by the effect of strong electronic correlations. One way to overcome the problem is to seek for an exact solution at least within the small cluster and expand it to the whole crystal. Such an approach is in the heart of the cluster perturbation theory (CPT). Here we develop CPT for the dynamic spin and charge susceptibilities (spin-CPT and charge-CPT), within which the correlation effects are explicitly taken into account by the exact diagonalization. We apply spin-CPT and charge-CPT to the effective two-band Hubbard model for the cuprates obtained from the three-band Emery model and calculate one- and two-particle correlation functions, namely, spectral function and spin and charge susceptibilities. Doping dependence of the spin susceptibility was studied within spin-CPT and CPT-RPA that is the CPT generalization of the random phase approximation (RPA). Both methods produce the low energy response at four incommensurate wave vectors in qualitative agreement to the results of the inelastic neutron scattering on overdoped cuprates.

arXiv comment14 pages, 8 figures

References in corpus (46)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Cluster Theories
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Spin waves and electronic interactions in La2CuO4
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• The spectral weight of the Hubbard model through cluster perturbation theory
• Full orbital calculation scheme for materials with strongly correlated electrons
• Cluster Perturbation Theory for Hubbard models
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Anomalous low doping phase of the Hubbard model
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Dispersive spin excitations in highly overdoped cuprates revealed by resonant inelastic x-ray scattering
• Exact Quantum Monte Carlo Process for the Statistics of Discrete Systems
• A new hybrid LDA and Generalized Tight-Binding method for the electronic structure calculations of strongly correlated electron systems
• The Persistence of High-Frequency Spin Fluctuations in Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$=0.22)
• Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
• The emergence of coherent magnetic excitations in the pseudogap phase of La2-xSrxCuO4
• Superconductivity, Antiferromagnetism, and Neutron Scattering
• Doping-dependent evolution of low-energy excitations and quantum phase transitions within effective model for High-Tc copper oxides
• Paramagnons and high-temperature superconductivity in mercury-based cuprates
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Observation of a dispersive charge mode in hole-doped cuprates using resonant inelastic x-ray scattering at the oxygen K edge
• Anisotropic damping of the spin fluctuations in doped La2-xSrxCuO4 studied by resonant inelastic x-ray scattering
• Hourglass dispersion and resonance of magnetic excitations in the superconducting state of the single-layer cuprate HgBa2CuO4+δ near optimal doping
• Fractionalization, entanglement, and separation: understanding the collective excitations in a spin-orbital chain
• Dynamical Charge Susceptibility in the Hubbard Model
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Doping and temperature evolution of pseudogap and spin-spin correlations in the two-dimensional Hubbard model
• Dual Features of Magnetic Susceptibility in Superconducting Cuprates: a comparison to inelastic neutron scattering
• Fermi Arcs From Dynamical Variational Monte Carlo
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• From underdoped to overdoped cuprates: two quantum phase transitions
• Polaronic approach to strongly correlated electron system with strong electron-phonon interaction
• Polaron transformations in the realistic model of the strongly correlated electron system
• Robust charge-density wave correlations in the electron-doped single-band Hubbard model
• Theory of two-particle excitations and the magnetic susceptibility in high-Tc cuprate superconductors
• Coexistence of Two Components in Magnetic Excitations of La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$ = 0.10 and 0.16)
• Two-particle Correlation Functions in Cluster Perturbation Theory: Hubbard Spin Susceptibilities
• Spin and charge susceptibilities of the two-orbital model within the cluster perturbation theory for Fe-based materials

Cited by in corpus (3)

• The interplay between a pseudogap and superconductivity in a two-dimensional Hubbard model
• Interplay between the charge density wave phase and a pseudogap under antiferromagnetic correlations
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches