Mott transition in the triangular lattice Hubbard model: a dynamical cluster approximation study

Abstract

Based on dynamical cluster approximation (DCA) quantum Monte Carlo simulations, we study the interaction-driven Mott metal-insulator transition (MIT) in the half-filled Hubbard model on the anisotropic two-dimensional triangular lattice, where the degree of frustration is varied between the unfrustrated case and the fully frustrated, isotropic triangular lattice. Upon increasing the DCA cluster size, we analyze the evolution of the MIT phase boundary as a function of frustration in the phase diagram spanned by the interaction strength and temperature, and provide a quantitative description of the MIT phase boundary in the triangular lattice Hubbard model. Qualitative differences in the phase boundary between the unfrustrated and fully frustrated cases are exhibited. In particular, a change in the sign of the phase boundary slope is observed, which via an impurity cluster eigenstate analysis, may be related to a change in the nature of the insulating state. We discuss our findings within the scenario that the triangular lattice electron system might exhibit a quantum critical Mott MIT with a possible quantum spin liquid insulating state, such as considered for the organic charge transfer salts $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$ and EtMe${}_3$Sb[Pd(dmit)${}_2$]${}_2$.

References in corpus (47)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum Cluster Theories
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Continuous Quantum Phase Transitions
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• A continuous-time solver for quantum impurity models
• Strong electronic correlations from Hund's coupling
• The ALPS project release 1.3: open source software for strongly correlated systems
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Continuous Time Quantum Monte Carlo method for fermions
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Universality and Critical Behavior at the Mott transition
• 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
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Mott transition and transport crossovers in the organic compound $\kappa -(BEDT-TTF{)}_{2}Cu[N(CN{)}_2]Cl$
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
• Fate of the false Mott-Hubbard transition in two dimensions
• Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
• Momentum-sector-selective metal-insulator transition in the eight-site dynamical mean-field approximation to the Hubbard model in two dimensions
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $\kappa$-(ET)${}_2$X
• Unconventional superconductivity on the triangular lattice Hubbard model
• Equation of State of the Fermionic 2D Hubbard Model
• Thermodynamics of a bad metal-Mott insulator transition in the presence of frustration
• Magnetism and orbital-ordering in an interacting three band model: a dynamical mean field study
• 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
• Mott transition in two-dimensional frustrated compounds
• Thermodynamics of the Quantum Critical Point at Finite Doping in the 2D Hubbard Model: A Dynamical Cluster Approximation Study
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• Mottness on a triangular lattice
• Complete phase diagram for three-band Hubbard model with orbital degeneracy lifted by crystal field splitting
• Metal-insulator transition in three-band Hubbard model with strong spin-orbit interaction
• Transport criticality at Mott transition in a triangular lattice Hubbard model

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• Hubbard pair cluster in the external fields. Studies of the chemical potential
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• Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Hubbard pair cluster in the external fields. Studies of the magnetic properties
• Comparative study of the density matrix embedding theory for the Hubbard models
• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• Thermodynamic Properties of the Mott Insulator-Metal Transition in a Triangular Lattice System Without Magnetic Order
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Not all doped Mott insulators have a pseudogap: key role of van Hove singularities
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• The Frenkel line and the pseudogap: an analogy between classical and electronic fluids
• Site-resolved observables in the doped spin-imbalanced triangular Hubbard model