An optimized cluster density matrix embedding theory

doi:10.1088/1674-1056/ac0cdc

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90305-090305.doi: 10.1088/1674-1056/ac0cdc

An optimized cluster density matrix embedding theory

Hao Geng(耿浩) and Quan-lin Jie(揭泉林)^†

Department of Physics, Wuhan University, Wuhan 430072, China

收稿日期:2021-03-19 修回日期:2021-06-09 接受日期:2021-06-21 出版日期:2021-08-19 发布日期:2021-08-19
通讯作者: Quan-lin Jie E-mail:qljie@whu.edu.cn

An optimized cluster density matrix embedding theory

Hao Geng(耿浩) and Quan-lin Jie(揭泉林)^†

Department of Physics, Wuhan University, Wuhan 430072, China

Received:2021-03-19 Revised:2021-06-09 Accepted:2021-06-21 Online:2021-08-19 Published:2021-08-19
Contact: Quan-lin Jie E-mail:qljie@whu.edu.cn

摘要/Abstract

摘要： We propose an optimized cluster density matrix embedding theory (CDMET). It reduces the computational cost of CDMET with simpler bath states. And the result is as accurate as the original one. As a demonstration, we study the distant correlations of the Heisenberg J₁-J₂ model on the square lattice. We find that the intermediate phase (0.43≤sssim J₂≤sssim 0.62) is divided into two parts. One part is a near-critical region (0.43≤J₂≤0.50). The other part is the plaquette valence bond solid (PVB) state (0.51≤J₂≤0.62). The spin correlations decay exponentially as a function of distance in the PVB.

关键词: cluster density matrix embedding theory, distant correlation, Heisenberg J₁-J₂ model

Abstract: We propose an optimized cluster density matrix embedding theory (CDMET). It reduces the computational cost of CDMET with simpler bath states. And the result is as accurate as the original one. As a demonstration, we study the distant correlations of the Heisenberg J₁-J₂ model on the square lattice. We find that the intermediate phase (0.43≤sssim J₂≤sssim 0.62) is divided into two parts. One part is a near-critical region (0.43≤J₂≤0.50). The other part is the plaquette valence bond solid (PVB) state (0.51≤J₂≤0.62). The spin correlations decay exponentially as a function of distance in the PVB.

Key words: cluster density matrix embedding theory, distant correlation, Heisenberg J₁-J₂ model

中图分类号: (Quantum mechanics)

03.65.-w

Hao Geng(耿浩) and Quan-lin Jie(揭泉林). An optimized cluster density matrix embedding theory[J]. 中国物理B, 2021, 30(9): 90305-090305.

Hao Geng(耿浩) and Quan-lin Jie(揭泉林). An optimized cluster density matrix embedding theory[J]. Chin. Phys. B, 2021, 30(9): 90305-090305.

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An optimized cluster density matrix embedding theory

An optimized cluster density matrix embedding theory

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