Inhomogeneous states with checkerboard order in the t-J Model

Abstract

We study inhomogeneous states in the t-J model using an unrestricted Gutzwiller approximation. We find that $pa\times pa$ checkerboard order, where $p$ is a doping dependent number, emerges from Fermi surface instabilities of both the staggered flux phase and the Fermi liquid state with realistic band parameters. In both cases, the checkerboard order develops at wave vectors $(\pm 2\pi /pa,0)$, $(0,\pm 2\pi /pa)$ that are tied to the peaks of the wave-vector dependent susceptibility, and is of the Lomer-Rice-Scott type. The properties of such periodic, inhomogeneous states are discussed in connection to the checkerboard patterns observed by STM in underdoped cuprates.

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• Grand canonical Gutzwiller approximation for magnetic inhomogeneous systems
• Correlating off-stoichiometric doping with nanoscale electronic disorder and quasiparticle interference pattern in high-$T_c$ superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• A consistent statistical treatment of the renormalized mean-field t-J model
• Charge and spin order on the triangular lattice -- Na${}_x$CoO${}_2$ at $x=0.5$
• Extended Gutzwiller Approximation for Inhomogeneous System
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• Local Electronic Structure and Fano Interference in Tunneling into a Kondo Hole System
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• Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates
• Mott and Wigner-Mott transitions in doped correlated electron systems: effects of superlattice potential and inter-site correlation
• Impurity Scattering Effects in STM Studies of High-T_c Superconductors
• Valence bond glass -- A unified theory of electronic disorder and pseudogap phenomena in high temperature superconductors