Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions

Abstract

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system rely on quasi-one-dimensional lattices where true long-range order is forbidden. Here we simulate two-dimensional and quasi-one-dimensional triangular lattices using state-of-the-art Auxiliary-Field Quantum Monte Carlo. Upon doping a non-magnetic chiral spin state, we observe evidence of chiral superconductivity supported by long-range order in Cooper-pair correlation and a finite value of the chiral order parameter. With this aim, we first locate the transition from the metallic to the non-magnetic insulating phase and the onset of magnetic order. Our results pave the way towards a better understanding of strongly correlated lattice systems with magnetic frustration.

arXiv comment18 pages and 16 figures

References in corpus (61)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Hubbard model physics in transition metal dichalcogenide moiré bands
• The Hubbard Model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• A Constrained Path Monte Carlo Method for Fermion Ground States
• Neel order in square and triangular lattice Heisenberg models
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• A Constrained Path Quantum Monte Carlo Method for Fermion Ground States
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Variational description of Mott insulators
• String patterns in the doped Hubbard model
• Matter-wave diffraction from a quasicrystalline optical lattice
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Exploration of doped quantum magnets with ultracold atoms
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Observing localisation in a 2D quasicrystalline optical lattice
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Superconductivity from weak repulsion in hexagonal lattice systems
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Rydberg-dressing of atoms in optical lattices
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Quantum Monte Carlo method for the ground state of many-boson systems
• Spin-liquid versus spiral-order phases in the anisotropic triangular lattice
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Phase diagram of the anisotropic triangular lattice Hubbard model
• Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
• Thermodynamics of a bad metal-Mott insulator transition in the presence of frustration
• Study of the Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods
• Magnetic properties and Mott transition in the Hubbard model on the anisotropic triangular lattice
• Hubbard ladders at small $U$ revisited
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• CPMC-Lab: A Matlab Package for Constrained Path Monte Carlo Calculations
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Finite-temperature phases of trapped bosons in a two-dimensional quasiperiodic potential
• Electron energy spectrum of the spin-liquid state in a frustrated Hubbard model
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• Exploring quantum quasicrystal patterns: a variational study
• A mean-field approach to Kondo-attractive-Hubbard model

Cited by in corpus (4)

• Directly imaging spin polarons in a kinetically frustrated Hubbard system
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• The Fractal-Lattice Hubbard Model
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo