Finite and High-temperature series expansion via many-body perturbation theory

2021/12/28 by Mohamed Amine Tag, Abid Boudiar, Tag, Mohamed Amine +7
Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum many-body systems #Stochastic processes and statistical mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2112.14311

openalex publication_date 2021/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new algorithm to evaluate the grand potential at finite and high-temperature series expansion via many-body perturbation theory. This algorithm allows us to formulate each order as a divided difference. Further, we apply this algorithm to the Heisenberg spin-1/2 XXZ chain. We obtain all coefficients of the high-temperature expansion of the free energy and susceptibility per site of this model up to sixth order.

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