Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices

Abstract

We study competitions between charge uniform and inhomogeneous states in two-dimensional Hubbard models by using a variational Monte Carlo method. At realistic parameters for cuprate superconductors, emergent effective attraction of carriers generated from repulsive Coulomb interaction leads to charge/spin stripe ground states, which severely compete with uniform superconducting excited states in the energy scale of 10 K for the cuprates. Stripe period increases with decreasing hole doping $\delta$, which agrees with the experiments for La-based cuprates at $\delta$ = 1/8. For lower $\delta$, we find a phase separation. Implications of the emergent attraction for the cuprates are discussed.

11 pages, 13 figures

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Cited by in corpus (10)

• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization
• Two-dimensional ground-state mapping of a Mott-Hubbard system in a flexible field-effect device
• A 3D Tight-Binding Model for La-Based Cuprate Superconductors
• Benchmark study of an auxiliary-field quantum Monte Carlo technique for the Hubbard model with shifted-discrete Hubbard-Stratonovich transformations
• Superconductivity in bilayer $t$-$t^{\prime }$ Hubbard models
• $\text{Ab initio}$ derivation of effective Hamiltonian for La${}_2$CuO${}_4$/La${}_{1.55}$Sr${}_{0.45}$CuO${}_4$ heterostructure
• Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with $U\lesssim \infty$