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Hubb_DMFT与Wan2mb_DMFT:适用于单轨道与多轨道哈伯德模型的连续时间量子蒙特卡洛求解器

Hubb_DMFT and Wan2mb_DMFT: Continuous-Time Quantum Monte Carlo Solvers for Single- and Multi-Orbital Hubbard Model

A. A. Katanin

arXiv 2608.18540首次发表:更新:

AI 中文总结

该研究开发了Hubb_DMFT与Wan2mb_DMFT两款定制软件,基于iQIST v.0.7杂质求解器,采用改进的CT-QMC核心,分别适配单轨道和多轨道哈伯德模型,可精确求解强关联电子系统的DMFT方程。

AI 中文摘要

我们提出两个相关的定制软件包Hubb_DMFT和Wan2mb_DMFT,用于求解强关联电子系统的动力学平均场理论(DMFT)方程。Hubb_DMFT针对单带哈伯德模型进行了调整,提供了一种快速计算局域自能以及两粒子费米子、三角费米子-玻色子电荷和自旋顶点的方法;而Wan2mb_DMFT将该能力扩展到实际的多轨道系统,直接将Wannier紧束缚哈密顿量与多体求解器对接。两个代码均基于iQIST v.0.7杂质求解器,采用经修改并内部集成的连续时间量子蒙特卡洛(CT-QMC)核心,结合杂化展开(CT-HYB)框架以及针对密度-密度相互作用的改进自能和顶点估计器,确保量子杂质问题的数值精确解。

英文摘要

We present two related customized software packages, Hubb_DMFT and Wan2mb_DMFT, designed to solve the Dynamical Mean-Field Theory (DMFT) equations for strongly correlated electron systems. Hubb_DMFT is adjusted for the single-band Hubbard model, providing a fast way to calculate the local self-energy, as well as the two-particle fermion and triangular fermion-boson charge and spin vertices, while Wan2mb_DMFT extends this capability to realistic multi-orbital systems, directly interfacing Wannier tight-binding Hamiltonians with many-body solvers. Both codes are based on iQIST v.0.7 impurity solver and utilize a modified and internally integrated Continuous-Time Quantum Monte Carlo (CT-QMC) core with the hybridization expansion (CT-HYB) framework and improved self-energy and vertex estimators for density-density interaction, ensuring numerically exact solutions for quantum impurity problems.

Comments15 pages, 3 figures

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