Searching for superconductivity in doped triangular lattice Kitaev magnets

Abstract

Motivated by exploring correlated metals with frustrating bond-dependent exchange interactions, we study hole and electron doped Kitaev Mott insulators on the triangular lattice. Using homogeneous parton mean field theory, we find that the stripe antiferromagnetic (AFM) order for Kitaev coupling $K>0$ and the ferromagnetic (FM) order for $K<0$, both vanish at sufficiently large doping, beyond which we find regimes with chiral $d\pm id$ singlet pairing and $p\pm ip$ triplet pairing respectively. Our tensor network computations however reveal that the superconducting correlations are strongly suppressed; while FM order stubbornly persists for the doped $K<0$ model, the doped $K>0$ model features emergent spin-charge modulated stripe orders. At higher hole doping for $K>0$, where AFM order is more strongly suppressed than for the electron doped case, incorporating a sufficiently strong nearest-neighbor attraction yields evidence for singlet $d$-wave superconductivity with Luttinger parameter $K_{\mathrm{sc}}<1$. Our work sets the stage for a broader exploration of doping effects in triangular lattice magnets such as NaRuO${}_2$ which feature bond-dependent exchange interactions.

4 pages, 5 figures, with additional supplemental material and figures

References in corpus (68)

• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Quantum Spin Liquid States
• A Common Thread: the pairing interaction for the unconventional superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Theory of Intertwined Orders in High Temperature Superconductors
• The ITensor Software Library for Tensor Network Calculations
• Time-dependent variational principle for quantum lattices
• Kitaev quantum spin liquid - concept and materialization
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Unifying time evolution and optimization with matrix product states
• Variational optimization algorithms for uniform matrix product states
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Tangent-space methods for uniform matrix product states
• NaYbS${}_2$ - a new planar spin-$\frac{1}{2}$ triangular-lattice magnet and putative spin liquid
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Topography of Spin Liquids on a Triangular Lattice
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Algebraic charge liquids
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Kinetic Magnetism in Triangular Moiré Materials
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Geometry of Matrix Product States: metric, parallel transport and curvature
• Cuprate superconductors as viewed through a striped lens
• Pair Correlations in Doped Hubbard Ladders
• Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
• SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
• Kinetic Antiferromagnetism in the Triangular Lattice
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Low energy electronic states and triplet pairing in layered cobaltates
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Magnetic Orders Proximal to the Kitaev Limit in Frustrated Triangular Systems: Application to Ba${}_3$IrTi${}_2$O${}_9$
• Evidence for chiral superconductivity on a silicon surface
• Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
• Variational Monte Carlo Studies of Pairing Symmetry for the t-J Model on a Triangular Lattice
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Kitaev Quantum Spin Liquids
• Controlled bond expansion for DMRG ground state search at single-site costs
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice
• Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
• Superfluidity in the 1D Bose-Hubbard Model
• A $j_{\mathrm{eff}}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO${}_2$
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Projector formalism for kept and discarded spaces of matrix product states
• NaRuO${}_2$: Kitaev-Heisenberg exchange in triangular-lattice setting
• Stripe magnetic order and field-induced quantum criticality in the perfect triangular-lattice antiferromagnet CsCeSe${}_2$
• How quantum phases on cylinders approach the 2d limit
• Triplet FFLO Superconductivity in the doped Kitaev-Heisenberg Honeycomb Model
• A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators
• Robust d-wave superconductivity from the Su-Schrieffer-Heeger-Hubbard model: possible route to high-temperature superconductivity
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Continuous Wigner-Mott transition at $\nu =1/5$
• Pairing tendencies in the doped Kitaev-Heisenberg model

Cited by in corpus (1)

• Ground State Properties of the Doped Kitaev-Heisenberg Chain: Topological Superconducting and Mott Insulating Phases Driven by Magnetic Frustration