Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping

Abstract

The $120^{\circ }$ antiferromagnetism (AFM) is widely believed as the magnetic ground state of the triangular systems because of the geometrical frustration. The emergence of novel magnetism, such as the row-wise AFM in Mn/Cu(111) and Sn/Si(111), reveals the importance of the longer-range hopping on magnetic competitions in realistic material systems. By utilizing advanced many-body techniques, we systematically studied the isotropic triangular Hubbard model with second nearest-neighbor hopping $t^{\prime }$, including both the single- and the two-particle responses. We found that both electronic and magnetic phase transitions show a clear dependence on $t^{\prime }/t$. Consequently, we observed a remarkable reentrance of the metal-insulator transition and a crossover between the $120^{\circ }$- and the row-wise AFM. The Fermi surface (FS) shows two distinct structures with the nesting vectors consistent with the magnetic correlations. When $t^{\prime }$ evolves from 0 to 1, the correlated Fermi surface demonstrates a Lifschitz transition between the two nesting structures, and exotic phases like the featureless insulating state can be realized. Our work sheds light on the engineering of electronic and magnetic correlations of correlated triangular surfaces via longer-range hopping. The rich phase diagram and the high degree of tunability make the triangular lattice with longer-range hopping a more realistic platform to study the emergent magnetic competitions.

arXiv comment7 pages, 5 figures

References in corpus (58)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Tuning superconductivity in twisted bilayer graphene
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Superconductivity at 43 K in Samarium-arsenide Oxides $SmFeAs{O}_{1-x}{F}_x$
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Cluster Theories
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Continuous Time Quantum Monte Carlo method for fermions
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Untying the insulating and superconducting orders in magic-angle graphene
• Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
• 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
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Self-energy-functional approach to systems of correlated electrons
• Variational cluster approach to correlated electron systems in low dimensions
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Orbital-selective Mott transitions in the degenerate Hubbard model
• Structure and superconductivity of LiFeAs
• Orbital-Selective Mott transition out of band degeneracy lifting
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Identifying the maximum entropy method as a special limit of stochastic analytic continuation
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Absence of superconductivity in the half-filled band Hubbard model on the anisotropic triangular lattice
• Spin-liquid versus spiral-order phases in the anisotropic triangular lattice
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Critical Spin Liquid versus Valence Bond Glass in Triangular Lattice Organic $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• 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
• Competing phases of the Hubbard model on a triangular lattice -- insights from the entropy
• Magnetic properties and Mott transition in the Hubbard model on the anisotropic triangular lattice
• Mott transition in two-dimensional frustrated compounds
• Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice
• Mottness on a triangular lattice
• Mott transition in the triangular lattice Hubbard model: a dynamical cluster approximation study
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• Transport criticality at Mott transition in a triangular lattice Hubbard model