期刊
PHYSICAL REVIEW B
卷 104, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.155145
关键词
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资金
- Tsinghua University Initiative Scientific Research Program, NSFC [11774196, 51788104]
- Ministry of Science and Technology of China [2016YFA0301001]
By using the quantum Ising chain as a test bed and treating the spin polarization along the external transverse field as the generalized density, the performance of different levels of density functional approximations was examined alongside those widely used for interacting electrons, such as local density approximation (LDA) and generalized-gradient approximation (GGA). It was shown that by adding the lowest-order and nearest-neighbor density variation correction to the simple LDA, a semilocal energy functional in the spirit of GGA is almost exact over a wide range of inhomogeneous density distribution. Additionally, the error structures of LDA and GGA bear a high level of resemblance to the quantum phase diagram of the system, providing insights into the success and failure of these approximations in a general context.
By using the quantum Ising chain as a test bed and treating the spin polarization along the external transverse field as the generalized density, we examine the performance of different levels of density functional approximations parallel to those widely used for interacting electrons, such as local density approximation (LDA) and generalized-gradient approximation (GGA). We show that by adding the lowest-order and nearest-neighbor density variation correction to the simple LDA, a semilocal energy functional in the spirit of GGA is almost exact over a wide range of inhomogeneous density distribution. In addition, the LDA and GGA error structures bear a high level of resemblance to the quantum phase diagram of the system. These results provide insights into the triumph and failure of these approximations in a general context.
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