Partition function zeros of quantum many-body systems

2025/04/02 by Shastry, B Sriram · 1 citation
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2504.01880

Abstract

We present a new method for calculating the Yang-Lee partition function zeros of a translationally invariant model of lattice fermions, exemplified by the Hubbard model. The method rests on a theorem involving the single electron self-energy Σ_σ(k, i ω_n) in the imaginary time Matsubara formulation. The theorem maps the Yang-Lee zeros to a set of wavevector and spin labeled virtual energies ξ_{k σ}. These, thermodynamically derived virtual energies, are solutions of equations involving the self-energy at corresponding kσ's. Examples of the method in simplified situations are provided.

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