Magnetism and superconductivity of strongly correlated electrons on the triangular lattice

Abstract

We investigate the phase diagram of the \tj Model on a triangular lattice using a Variational Monte-Carlo approach. We use an extended set of Gutzwiller projected fermionic trial wave-functions allowing for simultaneous magnetic and superconducting order parameters. We obtain energies at zero doping for the spin-1/2 Heisenberg model in very good agreement with the best estimates. Upon electron doping (with a hopping integral $t<0$) this phase is surprisingly stable variationally up to $n\approx 1.4$, while the $d_{x^2-y^2}+i{d}_{xy}$ order parameter is rather weak and disappears at $n\approx 1.1$. For hole doping however the coplanar magnetic state is almost immediately destroyed and $d_{x^2-y^2}+i{d}_{xy}$ superconductivity survives down to $n\approx 0.8$. For lower $n$, between 0.2 and 0.8, we find saturated ferromagnetism. Moreover, there is evidence for a narrow spin density wave phase around $n\approx 0.8$. Commensurate flux phases were also considered, but these turned out {\em not} to be competitive at finite doping.

11 pages; 11 figures

Cited by in corpus (21)

• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Dynamical mean field study of the Mott transition in the half-filled Hubbard model on a triangular lattice
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• Electronic Properties of the Hubbard Model on a Frustrated Triangular Lattice
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Superconducting Pairing Symmetries in Anisotropic Triangular Quantum Antiferromagnets
• Magnetization of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
• Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
• Hall effect on the triangular lattice
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• On the Magnetization of the $120^{\circ }$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit
• Effect of frustration on charge dynamics for a doped two-dimensional triangular Hubbard lattice: Comparison with a square lattice
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators