Signatures of coherent electronic quasiparticles in the paramagnetic Mott insulator

Abstract

We show that the Mott insulating state of the half-filled paramagnetic Hubbard model in infinite dimensions contains electronic quasiparticles with very small quasiparticle weight at the inner edge of the Hubbard bands. We use a stochastic and non-perturbative quantum impurity solver based on calculating the impurity self energy as a sample average over a representative distribution of impurity models solved by exact diagonalization. Due to the natural parallelization of the method, millions of poles are readily generated for the self energy which allows to work with very small pole-broadening $\eta$. Solutions at small and large $\eta$ are qualitatively different, and only at $\eta \le 0.001$ (in units of half bare band width) are quasiparticles found. Evaluated on the imaginary frequency axis we find that the small $\eta$ solutions agree within statistical error with results using continuous time quantum Monte Carlo.

arXiv comment8 pages, 11 figures

References in corpus (11)

• Continuous-time Monte Carlo methods for quantum impurity models
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Dynamical density-matrix renormalization-group method
• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Efficient real frequency solver for dynamical mean field theory
• Static vs. dynamical mean field theory of Mott antiferromagnets
• Dynamical Density-Matrix Renormalization Group for the Mott--Hubbard insulator in high dimensions
• Single-Particle Dynamics in the Vicinity of the Mott-Hubbard Metal-to-Insulator Transition
• Distributional exact diagonalization formalism for quantum impurity models
• Insulating phases of the infinite-dimensional Hubbard model
• Analytical and Numerical Treatment of the Mott--Hubbard Insulator in Infinite Dimensions

Cited by in corpus (12)

• Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
• Doublon-holon origin of the subpeaks at the Hubbard band edges
• Surrogate model solver for impurity-induced superconducting subgap states
• Doublon-like excitations and their phononic coupling in a Mott charge-density-wave system
• State-of-the-art techniques for calculating spectral functions in models for correlated materials
• Kondo physics of the Anderson impurity model by Distributional Exact Diagonalization
• Doublon-holon excitations split by Hund's rule coupling within the orbital-selective Mott phase
• Comparing scattering rates from Boltzmann and dynamical mean-field theory
• Natural Orbital-Based Lanczos Method for Anderson Impurity Models
• Behavior under magnetic field of resonance at the edge of the upper Hubbard band in 1T-TaS2
• Quantum phase transition in a double quantum dot Josephson junction driven by electron-electron interactions
• Magnetic flux controlled current phase relationship in double Quantum Dot Josephson junction