Finite temperature quantum embedding theories for correlated systems

2016/11/30 by Dominika Zgid, Emanuel Gull · 1 citation
Physics and Astronomy · #Convergence (economics) #Degrees of freedom (physics and chemistry) #Embedding #Exponential function #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mtrl-sci #cond-mat.str-el #physics.chem-ph

paper · pdf · doi:10.1088/1367-2630/aa5d34

published as New J. Phys. 19 (2017) 023047

openalex created_date 2016/11/11 · openalex publication_date 2017/01/31 · arxiv created 2017/03/01 · arxiv updated 2017/03/02 · openalex updated_date 2026/08/06

Abstract

The cost of the exact solution of the many-electron problem is believed to be exponential in the number of degrees of freedom, necessitating approximations that are controlled and accurate but numerically tractable. In this paper, we show that one of these approximations, the self-energy embedding theory (SEET), is derivable from a universal functional and therefore implicitly satisfies conservation laws and thermodynamic consistency. We also show how other approximations, such as the dynamical mean field theory and its combinations with many-body perturbation theory, can be understood as a special case of SEET and discuss how the additional freedom present in SEET can be used to obtain systematic convergence of results.

Citations

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