Study of effective coupling between charge degrees of freedom in low dimensional hole-doped quantum antiferromagnets

Abstract

Expressions for generalized charge stiffness constant at zero temperature are derived corresponding to low dimensional hole doped quantum antiferromagnets, describable by the t-J-like models, with a view to understanding fermionic pairing possibilities and charge couplings in the itinerant antiferromagnetic systems. A detailed comparison between spin and charge correlations and couplings are presented in both strong and weak coupling limits. The result highlights that the charge and spin couplings show very similar behaviour in the over-doped region in both the dimensions, whereas they show a completely different trend in the lower doping regimes. A qualitative equivalence of generalized charge stiffness constant with the effective Drude weight and Coulomb interaction is established based on the comparison with other theoretical and experimental results. The fall in charge stiffness with increase in doping then implies reduction in the magnitude of effective Coulomb repulsion between the mobile carriers. This leads to an enhanced possibility of fermionic pairing with increase in doping in the possible presence of some other attraction producing mechanism from a source outside the t-J-like models. Moreover, under certain conditions in the weakly correlated phase, the t-J-like models themselves are able to produce attractive interaction for pairing.

arXiv comment19 pages, 6 figures

References in corpus (24)

• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• New Perspective on the Phase Diagram of Cuprate High-Temperature Superconductors
• The Quantum Inverse Scattering Method for Hubbard-like Models
• Effect of Stripes on Electronic States in Underdoped La_{2-x}Sr_xCuO_4
• High-temperature superconductivity in the Hubbard model: Gutzwiller wave-function solution
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Dynamic spin susceptibility in the t-J model
• Exactly Solvable Models of Strongly Correlated Electrons
• Thermodynamics and Crossover Phenomena in the Correlation Lengths of the One-Dimensional t-J Model
• Charge Dynamics in the Planar t-J Model
• Stability of the spiral phase in the 2D extended t-J model
• Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode
• Incorporation of charge- and pair-density-wave states into the one-band model of d-wave superconductivity
• Superconducting Fluctuation investigated by THz Conductivity of La${}_{2-x}$Sr${}_x$CuO${}_4$ Thin Films
• Competition of spin and charge excitations in the Hubbard model
• Superconducting phase diagrams of cuprates and pnictides as a key to the HTSC mechanism
• The phase diagram of the underdoped cuprates at high magnetic field
• Emergent charge order near the doping-induced Mott-insulating quantum phase transition in Sr${}_3$Ru${}_2$O${}_7$
• Calculation of generalized spin stiffness constant of strongly correlated doped quantum antiferromagnet on two-dimensional lattice and it's application to effective exchange constant for semi-itinerant systems
• Effective interaction in a non-Fermi liquid conductor and spin correlations in under-doped cuprates
• Effective t-J model of pairing: singlet versus triplet