Yang S-X, Terletska H, Meng Z Y, Moreno J, Jarrell M
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):063306. doi: 10.1103/PhysRevE.88.063306. Epub 2013 Dec 6.
To reduce the rapidly growing computational cost of the dual-fermion lattice calculation with increasing system size, we introduce two embedding schemes. One is the real fermion embedding, and the other is the dual-fermion embedding. Our numerical tests show that the real fermion and dual-fermion embedding approaches converge to essentially the same result. The application on the Anderson disorder and Hubbard models shows that these embedding algorithms converge more quickly with system size as compared to the conventional dual-fermion method, for the calculation of both single- and two-particle quantities.
为了降低随着系统规模增加而迅速增长的双费米子晶格计算的计算成本，我们引入了两种嵌入方案。一种是实费米子嵌入，另一种是双费米子嵌入。我们的数值测试表明，实费米子和双费米子嵌入方法收敛到基本相同的结果。在安德森无序模型和哈伯德模型上的应用表明，与传统的双费米子方法相比，对于单粒子和双粒子量的计算，这些嵌入算法随着系统规模的增加收敛得更快。
