Stripe order in the doped Hubbard model on the honeycomb lattice

Abstract

We study the ground state properties of the doped Hubbard model with strong interactions on honeycomb lattice by the Density Matrix Renormalization Group (DMRG) method. At half-filling, due to the absence of minus sign problem, it is now well established by large-scale Quantum Monte Carlo calculations that a Dirac semi-metal to anti-ferromagnetic Mott insulator transition occurs with the increase of the interaction strength $U$ for the Hubbard model on honeycomb lattice. However, an understanding of the fate of the anti-ferromagnetic Mott insulator when holes are doped into the system is still lacking. In this work, by calculating the local spin and charge density for width-4 cylinders with DMRG, we discover a half-filled stripe order in the doped Hubbard model on honeycomb lattice. We also perform complementary large-scale mean-field calculations with renormalized interaction strength. We observe half-filled stripe order and find stripe states with filling close to one half are nearly degenerate in energy.

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Cited by in corpus (11)

• The Hubbard Model
• Low-depth simulations of fermionic systems on square-grid quantum hardware
• Competing orders in the honeycomb lattice $t$-$J$ model
• Stripe versus superconductivity in the doped Hubbard model on the honeycomb lattice
• Effect of hole doping on the 120 degree order in the triangular lattice Hubbard model: A Hartree-Fock revisit
• Half-filled stripe to N$\acute{e}$el antiferromagnetism transition in the $t^{\prime }$-Hubbard model on honeycomb lattice
• An intermediate phase induced by dilution in a correlated Dirac Fermi system
• Hidden Kondo lattice physics in single-orbital Hubbard models
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Dual role of stripe phase on superconducting correlation in a bilayer square lattice