Partition function zeros of quantum many-body systems
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915724699631616 |
|---|---|
| author | Shastry, B Sriram |
| author_facet | Shastry, B Sriram |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partition function zeros of quantum many-body systems Shastry, B Sriram Statistical Mechanics Strongly Correlated Electrons 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. |
| title | Partition function zeros of quantum many-body systems |
| topic | Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.01880 |