Stability of Inhomogeneous Superstructures from Renormalized Mean-field Theory of the t--J Model

Abstract

Using the t--J model (which can also include Coulomb repulsion) and the ``plain vanilla'' renormalized mean-field theory of Zhang et al. (1988), stability of inhomogeneous 4a x 4a superstructures as those observed in cuprates superconductors around hole doping 1/8 is investigated. We find a non-uniform 4a x 4a bond order wave involving simultaneously small (~ 10^-2 t) inhomogeneous staggered plaquette currents as well as a small charge density modulation similar to pair density wave order. On the other hand, no supersolid phase involving a decoupling in the superconducting particle-particle channel is found.

4 pages

References in corpus (10)

• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
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• Global Phase Diagram of the High Tc Cuprates

Cited by in corpus (11)

• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• A consistent statistical treatment of the renormalized mean-field t-J model
• Genesis of charge orders in high temperature superconductors
• Extended Gutzwiller Approximation for Inhomogeneous System
• Inhomogeneous states with checkerboard order in the t-J Model
• Strong particle-hole asymmetry of charge instabilities in doped Mott insulators
• Competing orders in the Hofstadter t-J model
• Spin-rotationally symmetric domain flux phases in underdoped cuprates
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Bond-order modulated staggered flux phase for the $t-J$ model on the square lattice