Large-N expansion based on the Hubbard operator path integral representation and its application to the t-J model II. The case for finite $J$

Abstract

We have introduced a new perturbative approach for $t-J-V$ model where Hubbard operators are treated as fundamental objects. Using our vertices and propagators we have developed a controllable large-N expansion to calculate different correlation functions. We have investigated charge density-density response and the phase diagram of the model. The charge correlations functions are not very sensitive to the value of $J$ and they show collective peaks (or zero sound) which are more pronounced when they are well separated (in energy) from the particle-hole continuum. For a given $J$ a Fermi liquid state is found to be stable for doping $\delta$ larger than a critical doping ${\delta }_c$. ${\delta }_c$ decreases with decreasing $J$. For the physical region of the parameters and, for $\delta <{\delta }_c$, the system enters in an incommensurate flux or DDW phase. The inclusion of the nearest-neighbors Coulomb repulsion $V$ leads to a CDW phase when $V$ is larger than a critical value $V_c$. The dependence of $V_c$ with $\delta$ and $J$ is shown. We have compared the results with other ones in the literature.

10 pages, 8 figures, to appear in Phys. Rev. B

References in corpus (19)

• Correlated Electrons in High Temperature Superconductors
• Hidden Order in the Cuprates
• Similarities between organic and cuprate superconductors
• Superconductivity mediated by charge fluctuations in layered molecular crystals
• Interplay between superconductivity and flux phase in the t-J model
• Charge ordering and antiferromagnetic exchange in layered molecular crystals of the theta type
• Competition between Charge Ordering and Superconductivity in Layered Organic Conductors $\alpha$-(BEDT-TTF)${}_{2}M$Hg(SCN)${}_4$ (M = K, NH${}_4$)
• Signatures of a staggered-flux phase in the t-J model with two holes on a 32-site lattice
• Study of the triangular lattice tV model near x=1/3
• Dynamical properties of a strongly correlated model for quarter-filled layered organic molecular crystals
• Theory of the density fluctuation spectrum of strongly correlated electrons
• From antiferromagnetism to d-wave superconductivity in the 2D t-J model
• Statics and dynamics of charge fluctuations in the t-J model
• Revisiting two holes in a locally antiferromagnetic background: the role of retardation and Coulomb repulsion effects
• Large-N expansion based on the Hubbard-operator path integral representation and its application to the $t-J$ model
• CPA for charge ordering in the extended Hubbard model
• Effective interactions and superconductivity in the t-J model in the large-N limit
• Hole-Pairs in a Spin Liquid: Influence of Electrostatic Hole-Hole Repulsion
• Connection between the Slave-Particles and X-Operators Path-Integral Representations. a New Perturbative Approach

Cited by in corpus (36)

• Detection of Acoustic Plasmons in Hole-Doped Lanthanum and Bismuth Cuprate Superconductors Using Resonant Inelastic X-Ray Scattering
• Possible charge instabilities in two-dimensional doped Mott insulators
• Plasmon excitations in layered high-Tc cuprates
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Origin of the high-energy charge excitations observed by resonant inelastic x-ray scattering in cuprate superconductors
• Gapped collective charge excitations and interlayer hopping in cuprate superconductors
• A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation
• Dual structure in the charge excitation spectrum of electron-doped cuprates
• One-electron self energies and spectral functions for the t-J model in the large-N limit
• Kronecker product in terms of Hubbard operators and the Clebsch-Gordan decomposition of SU(2)xSU(2)
• Evidence for two competing order parameters in underdoped cuprates superconductors from a model analysis of the Fermi-arc effects
• Strong particle-hole asymmetry of charge instabilities in doped Mott insulators
• $d$-wave bond-order charge excitations in electron-doped cuprates
• Cooperative effect of phonons and electronic correlations for superconductivity in cobaltates
• Spin exchange and superconductivity in a $t-J^{\prime }-V$ model for two-dimensional quarter-filled systems
• Out-of-plane bond-order phase, superconductivity, and their competition in the $t$-$J_{\parallel }$-$J_{\perp }$ model: Possible implications for bilayer nickelates
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Doping and temperature dependence of the pseudogap and Fermi arcs in cuprates from $d$-CDW short-range fluctuations in the context of the t-J model
• Impact of electron correlations on two-particle charge response in electron- and hole-doped cuprates
• Charge-Density-Excitation Spectrum in the t-t'-J-V Model
• Electron-phonon interaction dressed by electronic correlations near charge ordering as the origin for superconductivity in cobaltates
• Doping dependence of d-wave bond-charge excitations in electron-doped cuprates
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Self-energy renormalization around the flux phase in the $t-J$ model: Possible implications in underdoped cuprates
• Superconductivity with and without glue and the role of the double-occupancy forbidding constraint in the t-J-V model
• Diagrammatic $\lambda$ series for extremely correlated Fermi liquids
• Low-energy plasmon excitations in infinite-layer nickelates
• Charge order and phonon renormalizations: Possible implications for cobaltates
• Role of dynamical non-double-occupancy excitations on the quasiparticle damping of the $t-J$ model in the large-$N$ limit
• Two distinct quasiparticle inelastic scattering rates in the $t-J$ model and their relevance for high-$T_c$ cuprates superconductors
• One-particle spectral properties of the t-J-$V$ model on the triangular lattice near charge order
• Self-energy effects in cuprates and the dome-shaped behavior of the superconducting critical temperature
• Retaining Landau quasiparticles in the presence of realistic charge fluctuations in cuprates
• Pseudogap in cuprates driven by d-wave flux-phase order proximity effects: A theoretical analysis from Raman and ARPES experiments
• Strong-coupling theory of bilayer plasmon excitations
• Observation of correlated plasmons in low-valence nickelates