标题： 量子多体系统的配分函数零点 显示英文标题

标题： Partition function zeros of quantum many-body systems

摘要： 我们提出一种新方法来计算平移不变格点费米子模型的杨-李分区函数零点，以哈伯德模型为例。 该方法基于一个涉及单电子自能$\Sigma_\sigma(k, i \omega_n)$的定理，在虚时间 Matsubara 形式中。 该定理将杨-李零点映射到一组由波矢和自旋标记的虚拟能量$\xi_{k \sigma}$。 这些热力学推导出的虚拟能量是涉及相应$k\sigma$的自能的方程的解。 提供了在简化情况下的方法示例。 显示英文摘要

摘要： 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 $\Sigma_\sigma(k, i \omega_n)$ in the imaginary time Matsubara formulation. The theorem maps the Yang-Lee zeros to a set of wavevector and spin labeled virtual energies $\xi_{k \sigma}$. These, thermodynamically derived virtual energies, are solutions of equations involving the self-energy at corresponding $k\sigma$'s. Examples of the method in simplified situations are provided.