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： 我们提出了一种计算平移不变晶格费米子模型的杨-李配分函数零点的方法，以Hubbard模型为例。 该方法基于一个涉及虚时间Matsubara表述下单电子自能$\Sigma_\sigma(k, i \omega_n)$的定理。 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$\xi_{k \sigma}$上。 这些由热力学推导出的虚拟能量是涉及相应$k\sigma$自能方程的解。 提供了简化情况下该方法的例子。 显示英文摘要

摘要： We present a 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.