Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description

Abstract

The one-dimensional half-filled Hubbard model is considered at zero temperature within the cellular dynamical mean-field theory (CDMFT). By the computation of the spectral gap and the energy density with various cluster and bath sizes we examine the accuracy of the CDMFT in a systematic way, which proves the accurate description of the one-dimensional systems by the CDMFT with small clusters. We also calculate the spectral weights in a full range of the momentum for various interaction strengths. The results do not only account for the spin-charge separation, but they also reproduce all the features of the Bethe ansatz dispersions, implying that the CDMFT provides an excellent description of the spectral properties of low-dimensional interacting systems.

J. Phys.: Condens. Matter, in press

References in corpus (11)

• Quantum Cluster Theories
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• The spectral weight of the Hubbard model through cluster perturbation theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
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• Shadow band in the one-dimensional large $U$ Hubbard model
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Current spinon-holon description of the one-dimensional charge-transfer insulator SrCuO2: Angle-resolved photoemission measurements

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• Multi-reference symmetry-projected variational approaches for ground and excited states of the one-dimensional Hubbard model
• Rigorous wave function embedding with dynamical fluctuations
• Electron interactions, spin-orbit coupling, intersite correlations in pyrochlore iridates
• Adaptively truncated Hilbert space based impurity solver for dynamical mean-field theory
• Fully Algebraic and Self-consistent Effective Dynamics in a Static Quantum Embedding
• Phase transitions and spectral properties of the ionic Hubbard model in one dimension
• Multi-reference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Spectral functions of the half-filled 1D Hubbard chain within the exchange-correlation potential formalism