Bond-dependent slave-particle cluster theory based on density matrix expansion

Abstract

Efficient and accurate computational methods for dealing with interacting electron problems on a lattice are of broad interest to the condensed matter community. For interacting Hubbard models, we introduce a cluster slave-particle approach that provides significant computational savings with high accuracy for total energies, site occupancies, and interaction energies. Compared to exact benchmarks using density matrix renormalization group for $d$-$p$ Hubbard models, our approach delivers accurate results using two to three orders of magnitude lower computational cost. Our method is based on a novel slave-particle decomposition with an improved description of particle hoppings, and a new density matrix expansion method where the interacting lattice slave-particle problem is then turned into a set of overlapping real-space clusters which are solved self-consistently with appropriate physical matching constraints at shared lattice sites between clusters.

arXiv comment21 pages, 13 figures

References in corpus (39)

• The density-matrix renormalization group
• The ITensor Software Library for Tensor Network Calculations
• Density matrix embedding: A simple alternative to dynamical mean-field theory
• Area laws in a many-body localized state and its implications for topological order
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Density matrix embedding: A strong-coupling quantum embedding theory
• The Dynamical Cluster Approximation: Non-Local Dynamics of Correlated Electron Systems
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Interplay of Mott Transition and Ferromagnetism in the Orbitally Degenerate Hubbard Model
• Truncated Configuration Interaction expansions as solvers for correlated quantum impurity models and dynamical mean field theory
• Quantum impurity solvers using a slave rotor representation
• Theory of the magnetic and metal-insulator transitions in RNiO3 bulk and layered structures
• Ground-state properties of the hydrogen chain: insulator-to-metal transition, dimerization, and magnetic phases
• Asymmetric band widening by screened exchange competing with local correlations in SrVO3: new surprises on an old compound from combined GW and dynamical mean field theory GW+DMFT
• Mott transition in Modulated Lattices and Parent Insulator of (K,Tl)yFexSe2 Superconductors
• Slave spin cluster mean field theory away from half-filling: Application to the Hubbard and the extended Hubbard Model
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Ab Initio Full Cell GW+DMFT for Correlated Materials
• The nature of Itinerant Ferromagnetism of SrRuO3 : A DFT+DMFT Study
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Ground-state phase diagram of the three-band Hubbard model from density matrix embedding theory
• Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective
• Interplay between incommensurate phases in the cuprates
• Doping Asymmetry of a 3-orbital CuO${}_2$ Hubbard Model
• DCA${}^{+}$: Dynamical Cluster Approximation with continuous lattice self-energy
• Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
• Rotationally-invariant slave-bosons for Strongly Correlated Superconductors
• Magnetism and Mott Transition: A Slave-rotor Study
• Generalized slave-particle method for extended Hubbard models
• Smooth self-energy in the exact-diagonalization-based dynamical mean-field theory: Intermediate-representation filtering approach
• Magnetic and charge orders in the ground state of the Emery model -- accurate numerical results
• Emergence of superconductivity, valence bond order and Mott insulators in Pd[(dmit)2] based organic salts
• Symmetry Breaking in Occupation Number Based Slave-Particle Methods
• Boson Slave Solver (BoSS) v1.1
• Continuous momentum dependence in the dynamical cluster approximation

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