Body-Ordered Approximations of Atomic Properties.

Body-Ordered Approximations of Atomic Properties.
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DOI:
10.1007/s00205-022-01809-w
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发表时间:
2022
影响因子:
2.5
通讯作者:
--
中科院分区:
数学1区
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我们证明了一类广泛的紧束缚模型的局域态密度(LDOS)具有弱的体序展开。具体来说,我们证明了所得到的体阶展开的分析观测量,如电子密度或能量具有指数收敛率在有限的费米温度以及绝缘体在零费米温度。我们讨论了潜在的后果,这一观察建模的势能景观,以及解决电子结构问题。
We show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or the energy has an exponential rate of convergence both at finite Fermi-temperature as well as for insulators at zero Fermi-temperature. We discuss potential consequences of this observation for modelling the potential energy landscape, as well as for solving the electronic structure problem.
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