Solving the dynamical mean-field theory at very low temperatures using the Lanczos exact diagonalization

2005/12/31 by Massimo Capone, M. Capone, Luca de’ Medici +3 · 5 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Excited state #Ground state #Hubbard model #Lanczos algorithm #Lanczos resampling #Mathematics #Mean field theory #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scale (ratio) #Statistical physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.245116

published as Phys. Rev. B 76, 245116 (2007) · 7 pages, 4 figures

arxiv created 2007/12/17 · openalex publication_date 2007/12/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present an efficient method to solve the impurity Hamiltonians involved in dynamical mean-field theory at low but finite temperature based on the extension of the Lanczos algorithm from ground state properties alone to excited states. We test the approach on the prototypical Hubbard model and find extremely accurate results from T=0 up to relatively high temperatures up to the scale of the critical temperature for the Mott transition. The algorithm substantially decreases the computational effort involved in finite temperature calculations.

Citations

• Low-temperature Lanczos method for strongly correlated systems
• Temperature Dependence of the Optical Spectral Weight in the Cuprates: Role of Electron Correlations
• Strongly Correlated Superconductivity and Pseudogap Phase near a Multiband Mott Insulator
• Strongly Correlated Superconductivity
• Dynamical Breakup of the Fermi Surface in a Doped Mott Insulator
• Cluster-dynamical mean-field theory of the density-driven Mott transition in the one-dimensional Hubbard model
• Self-energy-functional approach to systems of correlated electrons

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• Direct connection between Mott insulators and d-wave high-temperature superconductors revealed by continuous evolution of self-energy poles
• Multisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory