低温DFT已成为热门的兴趣，部分原因是越来越多的能力，创造新的状态的温暖相关的物质（WCM）。WCM的亚类是温暖致密物质（WDM）、超快物质（UFM）和高能量密度物质（HEDM），包含电子（e）和离子（i）。在电子温度$T_e $与电子费米能相当的系统中发现了强的e-e、i-i和e-i关联效应和部分简并。离子子系统可以是固体、液体或等离子体，具有许多离子电荷$Z_j$的电离状态。与离子温度$T_i\ne T_e$的准平衡是常见的。WCM中的离子子系统不能再被视为被动的“外势”，因为通常是由固态理论或量子化学主导的$T=0$密度泛函理论（DFT）。如果有限- $T$交换相关（XC）泛函可用，则Hohenberg-Kohn-Mermin理论可用于WCM。它们是单体电子密度$n_e$和单体离子密度$ρ_j$的泛函。一种近似但精确地将量子电子映射到经典库仑气体的方法，使人们能够在任何温度和任意自旋极化下完全经典地处理电子-离子系统，使用直接从对分布函数计算的交换相关效应{ \it in situ}。这消除了对任何XC-泛函的需要，或使用Born-Oppenheimer近似。该映射已被用于WDM系统的状态方程的计算，并构造了一个有限的$T$ XC泛函，被发现是在最近的量子路径积分模拟数据的密切协议。在这篇综述中，有限$T$ DFT的当前发展和关注，特别是在非相对论性的暖密物质和超快物质的背景下将被呈现。
英文摘要：
Finite-temperature DFT has become of topical interest, partly due to the increasing ability to create novel states of warm-correlated matter (WCM). Subclasses of WCM are Warm-dense matter (WDM), ultra-fast matter (UFM), and high-energy density matter (HEDM), containing electyrons (e) and ions (i). Strong e-e, i-i and e-i correlation effects and partial degeneracies are found in these systems where the electron temperature $T_e $ is comparable to the electron Fermi energy. The ion subsystem may be solid, liquid or plasma, with many states of ionization with ionic charge $Z_j$. Quasi-equilibria with the ion temperature $T_i\ne T_e$ are common. The ion subsystem in WCM can no longer be treated as a passive "external potential", as is customary in $T=0$ density functional theory (DFT) dominated by solid-state theory or quantum chemistry. Hohenberg-Kohn-Mermin theory can be used for WCMs if finite-$T$ exchange-correlation (XC) functionals are available. They are functionals of both the one-body electron density $n_e$ and the one-body ion densities $ρ_j$. A method of approximately but accurately mapping the quantum electrons to a classical Coulomb gas enables one to treat electron-ion systems entirely classically at any temperature and arbitrary spin polarization, using exchange-correlation effects calculated {\it in situ}, directly from the pair-distribution functions. This eliminates the need for any XC-functionals, or the use of a Born-Oppenheimer approximation. This classical map has been used to calculate the equation of state of WDM systems, and construct a finite-$T$ XC functional that is found to be in close agreement with recent quantum path-integral simulation data. In this review current developments and concerns in finite-$T$ DFT, especially in the context of non-relativistic warm-dense matter and ultra-fast matter will be presented.
Van-der-Waals exchange-correlation functionals and their high pressure and warm dense matter applications
Helmholtz-Zentrum Dresden-Rossendorf e.V. (HZDR)（德累斯顿-罗森多夫亥姆霍兹中心）；Michigan State University（密歇根州立大学）；University of Iowa（爱荷华大学）；Center for Advanced Systems Understanding (CASUS)（高级系统理解中心）
Electronically Excited States of Vitamin B12: Benchmark Calculations Including Time-Dependent Density Functional Theory and Correlated Ab Initio Methods
