Truncated unity parquet solver

Christian J. Eckhardt; Carsten Honerkamp; Karsten Held; Anna Kauch

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Truncated unity parquet solver

机译：截断的Unity Parquet Solver

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摘要

We present an implementation of a truncated unity parquet solver (TUPS) which solves the parquet equations using a truncated form-factor basis for the fermionic momenta. This way fluctuations from different scattering channels are treated on an equal footing. The essentially linear scaling of computational costs in the number of untruncated bosonic momenta allows us to treat system sizes of up to 76 × 76 discrete lattice momenta, unprecedented by previous unbiased methods that include the frequency dependence of the vertex. With TUPS. we provide the first numerical evidence that the parquet approximation might indeed respect the Mermin-Wagner theorem and further systematically analyze the convergence with respect to the number of form factors. Using a single form factor seems to qualitatively describe the physics of the half-filled Hubbard model correctly, including the pseudogap behavior. Quantitatively, using a single or a few form factors only is not sufficient at lower temperatures or stronger coupling.

机译：我们介绍了截断的Unity Parquet求解器（Tups）的实施，其使用截断的形状因子基础来解决地形方程，以获得Fermionic Momma。这种方式从不同的散射通道波动被处理在相等的基础上。在未经转变的振谐动量的数量中计算成本基本上线性缩放允许我们处理多达76×76个离散格子矩的系统尺寸，以前通过先前的无偏见方法缺省，包括顶点的频率依赖性。用tups。我们提供了第一种数值证据，即木质近似可能确实尊重Mermin-Wagner定理，并进一步系统地分析了相对于形状因子的数量的收敛。使用单个形式因子似乎定性地描述了半填充的船舶模型的物理正确，包括伪映射行为。定量地，使用单个或少量形状因子在较低温度或更强的耦合下仅是足够的。

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来源
《Physical review》 |2020年第15期|155104.1-155104.17|共17页
作者
Christian J. Eckhardt; Carsten Honerkamp; Karsten Held; Anna Kauch;
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Institute for Solid State Physics TU Wien 1040 Vienna Austria Institute for Theoretical Solid State Physics RWTH Aachen University 52074 Aachen Germany;

Institute for Theoretical Solid State Physics RWTH Aachen University 52074 Aachen Germany JARA-FIT Juelich Aachen Research Alliance - Fundamentals of Future Information Technology 52425 Juelich Germany;

Institute for Solid State Physics TU Wien 1040 Vienna Austria;

Institute for Solid State Physics TU Wien 1040 Vienna Austria;

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1. Truncated unity parquet solver [J] . Physical review, B . 2020,第15期

机译：截断的Unity Parquet Solver
2. Truncated-unity parquet equations: Application to the repulsive Hubbard model [J] . C. J. Eckhardt, G. A. H. Schober, J. Ehrlich, Physical review. B, Condensed Matter And Materals Physics . 2018,第7期

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3. Truncated-unity parquet equations: Application to the repulsive Hubbard model [J] . Eckhardt C. J., Schober G. A. H., Ehrlich J., Physical review, B . 2018,第7期

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4. Frequency Responses of Acoustic Black Hole Wedges Solved by the Partition of Unity Finite Element Method [C] . T. Zhou, J.-D. Chazot, E. Perrey-Debain, International Congress and Exposition on Noise Control Engineering . 2019

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5. On the truncated normal distribution: Characteristics of singly and doubly truncated populations of application in management science. [D] . Johnson, Arvid Conrad, III. 2001

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7. Truncated unity parquet solver [O] . Christian J. Eckhardt, Carsten Honerkamp, Karsten Held, 2020

机译：截断的Unity Parquet Solver
8. Highly Parallel Solver for Multi-Scale Parquet Quantum Modeling of Strongly Correlated Materials. [R] . Yang, S., Azevedo, E. D., Fotso, H., 2013

机译：高强度相关材料多尺度镶嵌量子建模的高度并行求解器。

Truncated unity parquet solver

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