Density Matrix Renormalization Group in Hybrid Momentum Space

混合动量空间中的密度矩阵重整化群

• 批准号: 229009897
• 负责人: Professor Dr. Reinhard M. Noack
• 金额: --
• 依托单位: Arbeitsgruppen Vielteilchenphysik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/229009897?language=en
• 关键词: Density; Matrix; Renormalization; Group; Hybrid

The objective of this project is to treat quantum lattice models in two and more dimensions within a hybrid momentum-space representation with the Density Matrix Renormalization Group (DMRG). In two dimensions, the hybrid momentum-space representation uses a momentum-space representation in the transverse direction and a real-space or other localized representation in the longitudinal direction, typically taking a cylinder geometry. Taking advantage of the transverse momentum-space quantum numbers will bring about a significant improvement in computational efficiency for two-dimensional systems and will allow finer-grained control of quantum numbers for states and observables. The initial area of application will be the two-dimensional Hubbard model, where the extensions of longer-range hopping and Coulomb repulsion will also be treated. Additional applications include multiple-band Hubbard models, frustrated spin models, interacting bosons, quantum Hall systems, and systems with topological phases.

这个项目的目标是用密度矩阵重整化群(DMRG)在混合动量空间表示下处理二维和更多维的量子晶格模型。在二维中，混合动量-空间表示在横向上使用动量-空间表示，在纵向上使用实空间或其他局部表示，通常采用圆柱体几何。利用横向动量空间量子数将大大提高二维系统的计算效率，并允许更精细地控制状态和能级的量子数。最初的应用领域将是二维哈伯德模型，在该模型中也将处理较远距离跳跃和库仑排斥的扩展。其他应用包括多带Hubbard模型、受挫自旋模型、相互作用玻色子、量子霍尔系统和具有拓扑相的系统。