Diagrammatic Monte Carlo procedure for the spin-charge transformed Hubbard model

Abstract

Using a dual representation of lattice fermion models that is based on spin-charge transformation and fermionisation of the original description, I derive an algorithm for diagrammatic Monte Carlo simulation of strongly correlated systems. This scheme allows eliminating large expansion parameters, as well as large corrections to the density matrix that generally prevent diagrammatic methods from being efficient in this regime. As an example, I compute the filling factor for the Hubbard model at infinite onsite repulsion and compare the results to controllable data obtained from Numerical Linked Cluster Expansion. I find excellent agreement between the two methods, as well as rapid convergence of the diagrammatic series. I also report results for the momentum distribution and kinetic energy of the electrons.

10 pages and 7 figures

References in corpus (9)

• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• A Short Introduction to Numerical Linked-Cluster Expansions
• Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems

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• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Physical and unphysical regimes of self-consistent many-body perturbation theory
• Majorana Diagrammatics for Quantum Spin-1/2 Models