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Permutation Symmetry in Spin Adapted Many-Body Wave Functions 自旋适应多体波函数中的置换对称性
IF 3.4 3区 化学 Pub Date : 2024-04-23 DOI: 10.1039/d4fd00061g
Maru Song, Ali Alavi, Giovanni Li Manni
In the domain of exchange-coupled PNTM clusters, local emergent symmetries exist which can be exploited to greatly increase the sparsity of the CI eigensolutions of such systems. Sparsity of the CI secular problem is revealed by exploring the site permutation space within spin-adapted many-body bases, and highly compressed wave functions may arise by finding optimal site orderings. However, the factorial cost of searching through the permutation space remains a bottleneck for clusters with a large number of metal centers. In this work, we explore ways to reduce the factorial scaling, by combining permutation and point group symmetry arguments, and using commutation relations between cumulative partial spin and the Hamiltonian operators, [(S(n))2, H]. Certain site orderings lead to commuting operators, from which more sparse wave functions arise. Two graphical strategies will be discussed, one to rapidly evaluate the commutators of interest, and one in the form of a tree search algorithm to predict how many and which distinct site permutations are to be analyzed, eliminating redundancies in the permutation space. Particularly interesting is the case of the singlet spin states for which an additional reversal symmetry can be utilized to further reduce the distinct site permutations.
在交换耦合 PNTM 簇领域,存在着局部新兴对称性,利用这些对称性可以大大提高此类系统的 CI 特征解的稀疏性。通过探索自旋适配多体基内的位点排列空间,可以揭示 CI 世俗问题的稀疏性;通过寻找最佳位点排序,可以产生高度压缩的波函数。然而,对于具有大量金属中心的集群来说,搜索排列空间的因子成本仍然是一个瓶颈。在这项工作中,我们结合了置换和点群对称性论证,并利用累积部分自旋和哈密顿算子[(S(n))2, H]之间的换向关系,探索了减少因子缩放的方法。某些位点排序会导致换向算子,从而产生更稀疏的波函数。我们将讨论两种图形策略,一种是快速评估感兴趣的换向算子,另一种是以树形搜索算法的形式预测有多少种不同的位点排列需要分析,从而消除排列空间中的冗余。特别有趣的是单子自旋态,可以利用额外的反转对称性来进一步减少不同位点的排列。
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引用次数: 0
Revisiting the driving force inducing phase separation in PEG-phosphate aqueous biphasic systems 重新审视 PEG 磷酸盐水性双相体系中诱导相分离的驱动力
IF 3.4 3区 化学 Pub Date : 2024-04-23 DOI: 10.1039/d4fd00058g
Sophie Bonnassieux, Raj Pandya, Dhyllan Adan Skiba, Damien Degoulange, Dorothee Petit, Peter Seem, Russell Cowburn, Betar M Gallant, Alexis Jules Louis Grimaud
Liquid phase separation using aqueous biphasic systems (ABS) is widely used in industrial processes for the extraction, separation and purification of macromolecules. Using water as the single solvent, a wide variety of solutes have been used to induce phase separation including polymers, ionic liquids or salts. For each system - polymer-polymer, polymer-ionic liquid, polymer-salt or salt-salt - different driving forces were proposed to induce phase separation. Specifically, for polymer-salt systems, a difference in solvation structure between the polymer-rich and the salt-rich was proposed, while other reports suggested that a large change in enthalpy and entropy accompanied the phase separation. Here, we reinvestigated the PEG/K2HPO4/H2O systems using a combination of liquid-phase nuclear magnetic resonance (NMR) and high-resolution Raman spectroscopies, coupled with injection microcalorimetry. Both NMR and Raman reveal a decreased water concentration in the PEG-rich phase, with nonetheless no significant differences observed for both 1H chemical shift or OH stretching vibrations. Hence, both PEG- and salt-rich phases exhibit similar water solvation properties, which is thus not the driving force for phase separation. Furthermore, NMR reveals a that PEG interacts with salt ions in the PEG-rich solution, inducing a downfield shift with increasing salt concentration. Injection microcalorimetry measurements were carried out to investigate any effect due to enthalpy change during mixing. Nevertheless, these measurements indicate very small enthalpy changes when mixing PEG- and salt-rich solutions in comparison with that previously recorded for salt-salt systems or associated with mixing of two solvents. Hence, our study discards any large change of enthalpy as the origin for phase separation of PEG/K2HPO4 systems, in addition to large difference in solvation properties.
使用水性双相系统(ABS)进行液相分离被广泛应用于大分子的萃取、分离和纯化等工业流程中。以水为单一溶剂,多种溶质(包括聚合物、离子液体或盐类)被用于诱导相分离。对于每种体系(聚合物-聚合物、聚合物-离子液体、聚合物-盐或盐-盐),都提出了不同的驱动力来诱导相分离。具体而言,对于聚合物-盐体系,有人提出富聚合物和富盐之间的溶解结构存在差异,而其他报告则认为伴随相分离的是焓和熵的巨大变化。在此,我们结合液相核磁共振(NMR)和高分辨率拉曼光谱以及注射微量热仪,对 PEG/K2HPO4/H2O 系统进行了重新研究。核磁共振和拉曼光谱均显示富含 PEG 的相中水的浓度降低了,但在 1H 化学位移或 OH 伸缩振动方面没有观察到明显的差异。因此,PEG 相和富盐相具有相似的水溶解特性,这并不是导致相分离的驱动力。此外,核磁共振还显示,在富含 PEG 的溶液中,PEG 与盐离子相互作用,随着盐浓度的增加而产生下场偏移。我们还进行了注射微量热测量,以研究混合过程中焓变化的影响。然而,这些测量结果表明,与之前盐-盐体系或两种溶剂混合时的焓变相比,PEG-富盐溶液混合时的焓变非常小。因此,除了溶解特性的巨大差异之外,我们的研究还排除了 PEG/K2HPO4 系统相分离的焓变化过大的可能性。
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引用次数: 0
On synergy between ultrahigh throughput screening and machine learning in biocatalyst engineering 超高通量筛选与机器学习在生物催化剂工程中的协同作用
IF 3.4 3区 化学 Pub Date : 2024-04-23 DOI: 10.1039/d4fd00065j
Maximilian Gantz, Simon Valentin Mathis, Friederike Nintzel, Pietro Lio, Florian Hollfelder
Protein design and directed evolution have separately contributed enormously to protein engineering. Without being mutually exclusive, the former relies on computation from first principles, while the latter is a combinatorial approach based on chance. Advances in ultrahigh throughput (uHT) screening, next generation sequencing and machine learning may create alternative routes to engineered proteins, where functional information linked to specific sequences is interpreted and extrapolated in silico. In particular, the miniaturisation of functional tests in water-in-oil emulsion droplets with picoliter volumes and their rapid generation and analysis (>1 kHz) allows screening of >107-membered libraries in a day. Subsequently decoding the selected clones by short or long-read sequencing methods leads to large sequence-function datasets that may allow extrapolation from experimental directed evolution to further improved mutants beyond the observed hits. In this work, we explore experimental strategies for how to draw up ‘fitness landscapes’ in sequence space with uHT droplet microfluidics, review the current state of AI/ML in enzyme engineering and discuss how uHT datasets may be combined with AI/ML to make meaningful predictions and accelerate biocatalyst engineering.
蛋白质设计和定向进化分别为蛋白质工程做出了巨大贡献。前者依赖于从第一原理出发的计算,而后者则是一种基于偶然性的组合方法。超高通量(uHT)筛选、下一代测序和机器学习的进步可能会为工程蛋白质开辟另一条途径,即在硅学中解释和推断与特定序列相关的功能信息。尤其是油包水乳剂液滴中的皮升体积功能测试微型化及其快速生成和分析(>1 kHz),可在一天内筛选出 107 个元件库。随后,通过短线程或长线程测序方法对筛选出的克隆进行解码,可获得大量序列-功能数据集,从而通过实验定向进化推断出观察到的突变体之外的进一步改良突变体。在这项工作中,我们探讨了如何利用 uHT 液滴微流控技术在序列空间中绘制 "适合度景观 "的实验策略,回顾了人工智能/ML 在酶工程中的应用现状,并讨论了如何将 uHT 数据集与人工智能/ML 结合起来,以做出有意义的预测并加速生物催化剂工程。
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引用次数: 0
Computation-guided engineering of distal mutations in an artificial enzyme 人工酶远端突变的计算指导工程
IF 3.4 3区 化学 Pub Date : 2024-04-22 DOI: 10.1039/d4fd00069b
Fabrizio Casilli, Miquel Canyelles-Niño, Gerard Roelfes, Lur Alonso-Cotchico
Artificial enzymes are valuable biocatalysts able to perform new-to-nature transformations with the precision and (enantio-)selectivity of natural enzymes. Although being highly engineered biocatalysts, they often cannot reach catalytic rates akin those of their natural counterparts, slowing down their application in real-world industrial processes. Typically, their designs only optimise the chemistry inside the active site, while overlooking the role of protein dynamics on catalysis. In this work, we show how the catalytic performance of an already engineered artificial enzyme can be further improved by modulating its long-range network of interactions. To this aim, we subjected a specialised artificial enzyme based on the Lactococcal multidrug resistance regulator (LmrR) to an innovative algorithm that quickly inspects the whole protein sequence space for protein dynamics hotspots. From an initial predicted selection of 73 variants, two variants with mutations distant more than 11 Å showed increased catalytic activity towards the new-to-nature hydrazone formation reaction. Their recombination displayed a 60% higher turnover number and 14 ℃ higher thermostability. Microsecond time scale molecular dynamics simulations evidenced a shift in the distribution of productive enzyme conformations, which are the result of a cascade of interactions initiated by the introduced mutations.
人工酶是一种宝贵的生物催化剂,能够以天然酶的精度和(对映)选择性进行新的自然转化。虽然人工酶是一种高度工程化的生物催化剂,但其催化率往往无法达到与天然酶类似的水平,从而减缓了其在实际工业过程中的应用。通常情况下,它们的设计只优化了活性位点内部的化学反应,而忽略了蛋白质动力学对催化的作用。在这项工作中,我们展示了如何通过调节长程相互作用网络来进一步提高已设计好的人工酶的催化性能。为此,我们对基于乳球菌多药耐药性调节因子(LmrR)的特制人工酶采用了一种创新算法,该算法可快速检查整个蛋白质序列空间中的蛋白质动力学热点。在最初预测筛选出的 73 个变体中,有两个变体的突变距离超过 11 Å,对新到自然界的腙形成反应显示出更高的催化活性。它们的重组显示周转次数提高了 60%,热稳定性提高了 14 ℃。微秒时间尺度的分子动力学模拟表明,有生产力的酶构象的分布发生了变化,这是由引入的突变引发的一连串相互作用的结果。
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引用次数: 0
Stability and Structure of the Aqueous LiTFSI-LiCl Interface LiTFSI-LiCl 水界面的稳定性和结构
IF 3.4 3区 化学 Pub Date : 2024-04-19 DOI: 10.1039/d4fd00026a
Hannah Wood, Hannah M Burnett, Robert Dryfe, Paola Carbone
It has recently been demonstrated that aqueous lithium bis(trifluoromethanesulfonyl)imide (LiTFSI) and lithium chloride (LiCl) solutions can form stable liquid-liquid biphasic systems when both elec- trolyte phases have sufficiently high concentrations. In this work, we combine molecular dynamics simulations and experimental analysis to investigate what drives the formation of the interface and how the interfacial molecular structure correlates with its thermodynamic stability. We observe that at the liquid-vapour interface, TFSI− anions exhibit surfactant-like properties, leading to a reduction in surface tension and an increase in interfacial thickness. On the contrary, the interfacial stability of the LiTFSI-LiCl biphasic systems increases with the concentration of both salts, as evidenced by the increasing surface tension and decreasing interfacial thickness. The opposing effects that the ionic concentration has on the thermodynamic stability of the different interfaces are linked to the anions’ interfacial adsorption/desorption, which in turn affects the number and strength of water-water hy- drogen bonds, the interfacial molecular structure and the diffusion of cations across the interface. Finally, calculations and experiments indicate that the liquid-liquid separation is driven primarily by the concentration of LiCl, and is the result of a ’salting out’ effect.
最近的研究表明,当双(三氟甲烷磺酰基)亚胺锂(LiTFSI)和氯化锂(LiCl)水溶液的电解质相都具有足够高的浓度时,它们可以形成稳定的液-液双相体系。在这项工作中,我们结合分子动力学模拟和实验分析,研究了界面形成的驱动因素,以及界面分子结构与其热力学稳定性的相关性。我们观察到,在液体-蒸汽界面上,TFSI-阴离子表现出类似表面活性剂的特性,导致表面张力降低和界面厚度增加。相反,LiTFSI-氯化锂双相体系的界面稳定性随着两种盐的浓度增加而增加,表现为表面张力增加和界面厚度减小。离子浓度对不同界面热力学稳定性的相反影响与阴离子的界面吸附/解吸有关,而界面吸附/解吸反过来又会影响水-水hy- drogen 键的数量和强度、界面分子结构以及阳离子在界面上的扩散。最后,计算和实验表明,液-液分离主要受氯化锂浓度的驱动,是 "盐析 "效应的结果。
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引用次数: 0
Stabilization of lithium metal in concentrated electrolytes: effects of electrode potential and solid electrolyte interphase formation 锂金属在浓电解质中的稳定:电极电位和固体电解质间相形成的影响
IF 3.4 3区 化学 Pub Date : 2024-04-16 DOI: 10.1039/d4fd00038b
Anusha Pradhan, Shoma Nishimura, Yasuyuki Kondo, Tomoaki Kaneko, Yu Katayama, Keitaro Sodeyama, Yuki Yamada
Lithium (Li) metal negative electrodes have enticed a wide attention for high-energy-density batteries. However, its low Coulombic efficiency (CE) due to parasitic electrolyte reduction has been an alarming concern. Concentrated electrolytes are one of the promising concepts that can stabilize the Li metal/electrolyte interface, thus increasing the CE; however, its mechanism has been still controversial. In this work, we used LiN(SO2F)2 (LiFSI) and weakly solvating 1,2-diethoxyethane (DEE) as a model electrolyte to study how its liquid structure changes upon increasing salt concentration and how it is linked to the Li plating/stripping CE. Based on previous works, we focused on Li electrode potential (ELi with reference to the redox of ferrocene) and solid electrolyte interphase (SEI) formation. Although the ELi shows a different trend in DEE as compared to conventional 1,2-dimethoxyethane (DME), which is accounted for by different ion-pairing states of Li+ and FSI-, the ELi-CE plots are overlapped for both electrolytes, suggesting that the ELi is one of the dominant factors of the CE. On the other hand, the extensive ion pairing results in the upward shift of FSI- reduction potential, as demonstrated both experimentally and theoretically, which promotes FSI--derived inorganic SEI. Both ELi and SEI contribute to increasing the Li plating/stripping CE.
锂(Li)金属负极在高能量密度电池领域受到广泛关注。然而,寄生电解质还原导致的低库仑效率(CE)一直是一个令人担忧的问题。浓缩电解质是很有前景的概念之一,它可以稳定锂金属/电解质界面,从而提高库仑效率;然而,其机理仍存在争议。在这项工作中,我们使用 LiN(SO2F)2 (LiFSI) 和弱溶解的 1,2- 二乙氧基乙烷 (DEE) 作为模型电解质,研究其液体结构在盐浓度增加时如何变化,以及如何与锂镀层/剥离 CE 联系起来。在以往工作的基础上,我们重点研究了锂电极电位(ELi,参考二茂铁的氧化还原)和固态电解质相间(SEI)的形成。虽然与传统的 1,2-二甲氧基乙烷(DME)相比,ELi 在 DEE 中显示出不同的趋势,这是由于 Li+ 和 FSI- 的离子配对状态不同造成的,但两种电解质的 ELi-CE 图都是重叠的,这表明 ELi 是 CE 的主要因素之一。另一方面,正如实验和理论所证明的那样,广泛的离子配对会导致 FSI- 还原电位上移,从而促进 FSI 衍生出无机 SEI。ELi 和 SEI 都有助于提高锂镀层/剥离 CE。
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引用次数: 0
Towards Efficient Quantum Computing for Quantum Chemistry: Reducing Circuit Complexity with Transcorrelated and Adaptive Ansatz Techniques 面向量子化学的高效量子计算:利用跨相关和自适应反演技术降低电路复杂性
IF 3.4 3区 化学 Pub Date : 2024-04-16 DOI: 10.1039/d4fd00039k
Erika Magnusson, Aaron Fitzpatrick, Stefan Knecht, Martin Rahm, Werner Dobrautz
The near-term utility of quantum computers is hindered by hardware constraints in the form of noise. One path to achieving noise resilience in hybrid quantum algorithms is to decrease the required circuit depth -- the number of applied gates -- to solve a given problem. This work demonstrates how to reduce circuit depth by combining the transcorrelated (TC) approach with adaptive quantum ansätze and their implementations in the context of variational quantum imaginary time evolution (AVQITE). The combined TC-AVQITE method is used to calculate ground state energies across the potential energy surfaces of H$_4$, LiH, and H$_2$O. In particular, H$_4$ is a notoriously difficult case where unitary coupled cluster theory, including singles and doubles excitations, fails to provide accurate results. Adding TC yields energies close to the complete basis set (CBS) limit while reducing the number of necessary operators -- and thus circuit depth -- in the adaptive ansätze. The reduced circuit depth furthermore makes our algorithm more noise-resilient and accelerates convergence. Our study demonstrates that combining the TC method with adaptive ansätze yields compact, noise-resilient, and easy-to-optimize quantum circuits that yield accurate quantum chemistry results close to the CBS limit.
量子计算机的近期实用性受到噪声形式的硬件限制的阻碍。在混合量子算法中实现抗噪性的途径之一是降低解决特定问题所需的电路深度--应用门的数量。这项工作展示了如何通过将转相关(TC)方法与自适应量子解析及其在变分量子虚时间演化(AVQITE)中的实现相结合来降低电路深度。TC-AVQITE 组合方法用于计算 H$_4$、LiH 和 H$_2$O 势能面上的基态能量。其中,H$_4$ 是一个众所周知的难题,在这种情况下,单元耦合簇理论(包括单激发和双激发)无法提供准确的结果。在自适应解析中,添加TC可以得到接近完整基集(CBS)极限的能量,同时减少了必要算子的数量,从而降低了电路深度。电路深度的降低进一步增强了算法的抗噪能力,并加快了算法的收敛速度。我们的研究证明,将TC方法与自适应解析相结合,可以得到紧凑、抗噪、易于优化的量子电路,从而得到接近CBS极限的精确量子化学结果。
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引用次数: 0
Enhancement of essential cofactors for in vivo biocatalysis 增强体内生物催化所需的辅助因子
IF 3.4 3区 化学 Pub Date : 2024-04-16 DOI: 10.1039/d4fd00013g
Pattarawan Intasian, Chalermroj Sutthaphirom, Oliver Bodeit, Duangthip Trisrivirat, Ninlapan Kimprasoot, Juthamas Jaroensuk, Barbara Bakker, Edda Klipp, Pimchai Chaiyen
A scarcity of cofactors, necessary metabolites or substrates for in vivo enzymatic reactions are among the major barriers of product synthesis in metabolically engineered cells. This work compares our recently developed cofactor boosting strategy, which uses xylose reductase (XR) and lactose to increase the intracellular levels of reduced or oxidized nicotinamide adenine dinucleotide (phosphate) NAD(P)H, adenosine triphosphate (ATP) and acetyl coenzymeA (acetyl-CoA) with other previously reported methods. We demonstrated that the XR/lactose approach enhances levels of sugar alcohols and sugar phosphates which leads to elevated levels of crucial cofactors required by specific metabolic pathways. The patterns of cofactor enhancement are not uniform and depend upon the specific pathway components that are overexpressed. We term this model the “user-pool” model. Here, we investigated metabolite alteration in the fatty alcohol producing system in the presence of XR/lactose within an early time frame (5 mins after the bioconversion started). All metabolite data were analyzed using untargeted metabolomics. We found that the XR/lactose system could improve fatty alcohol production as early as 5 mins after the bioconversion started. The enhancement of key cofactors and intermediates such as hexitol, NAD(P)H, ATP, 3-phosphoglycerate, acetyl-CoA, 6-phosphogluconate (6-PG) and glutathione was consistent with those previously reported on a longer time scale (after 1 hr). However, measurements performed at the early time reported here showed detectable differences in metabolite enhancement patterns such as those of ATP, NADPH, acetyl-CoA and glutathione. These data can serve as a basis for future analysis of metabolic flux alteration by the XR/lactose system. Comparative analysis of the cofactor enhancement by XR and other methods suggests that the XR/lactose can serve as a simple tool to increase levels of various cofactors for microbial cell factories.
体内酶促反应所需的辅助因子、代谢物或底物的匮乏是代谢工程细胞合成产物的主要障碍之一。这项工作将我们最近开发的辅助因子增强策略与之前报道的其他方法进行了比较,该策略使用木糖还原酶(XR)和乳糖来增加细胞内还原或氧化的烟酰胺腺嘌呤二核苷酸(磷酸)NAD(P)H、三磷酸腺苷(ATP)和乙酰辅酶A(乙酰辅酶A)的水平。我们证明,XR/乳糖方法可提高糖醇和糖磷酸盐的水平,从而导致特定代谢途径所需的关键辅因子水平升高。辅助因子的增强模式并不一致,取决于过表达的特定途径成分。我们将这种模式称为 "用户池 "模式。在此,我们研究了在 XR/乳糖存在下,脂肪醇生产系统在早期(生物转化开始后 5 分钟)的代谢物变化。所有代谢物数据均采用非靶向代谢组学进行分析。我们发现,早在生物转化开始后 5 分钟,XR/乳糖系统就能提高脂肪醇的产量。己糖醇、NAD(P)H、ATP、3-磷酸甘油酸酯、乙酰-CoA、6-磷酸葡萄糖酸酯(6-PG)和谷胱甘肽等关键辅助因子和中间产物的提高与之前在更长时间尺度上(1 小时后)的报道一致。不过,本文报告的早期测量结果显示,代谢物(如 ATP、NADPH、乙酰-CoA 和谷胱甘肽)的增强模式存在可检测到的差异。这些数据可作为今后分析 XR/乳糖系统改变代谢通量的基础。对 XR 和其他方法提高辅助因子的比较分析表明,XR/乳糖可以作为一种简单的工具,提高微生物细胞工厂中各种辅助因子的水平。
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引用次数: 0
Mapping inorganic crystal chemical space 绘制无机晶体化学空间图
IF 3.4 3区 化学 Pub Date : 2024-04-16 DOI: 10.1039/d4fd00063c
Hyunsoo Park, Anthony Onwuli, Keith Butler, Aron Walsh
The combination of elements from the Periodic Table defines a vast chemical space. Only a small fraction of these combinations yields materials that occur naturally or are accessible synthetically. Here, we enumerate binary, ternary, and quaternary element and species combinations to produce an extensive library of over 10^10 stoichiometric inorganic compositions. The unique combinations are vectorised using compositional embedding vectors drawn from a variety of published machine-learning models. Dimensionality reduction techniques are employed to present a two-dimensional representation of inorganic crystal-chemical space, which is labelled according to whether they pass standard chemical filters and if they appear in known materials databases.
元素周期表中的元素组合定义了一个巨大的化学空间。这些组合中只有一小部分能产生天然存在或可合成的物质。在这里,我们列举了二元、三元和四元元素与物种的组合,生成了一个包含 10^10 多种化学计量无机成分的庞大库。我们使用从各种已发布的机器学习模型中提取的成分嵌入向量,对这些独特的组合进行了矢量化。采用降维技术来呈现无机晶体化学空间的二维表示,并根据它们是否通过标准化学过滤器以及是否出现在已知材料数据库中进行标记。
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引用次数: 0
Quantum Embedding for Molecules with Auxiliary Particles - The Ghost Gutzwiller Ansatz 带有辅助粒子的分子的量子嵌入--幽灵古茨维勒公式
IF 3.4 3区 化学 Pub Date : 2024-04-16 DOI: 10.1039/d4fd00053f
Carlos Mejuto-Zaera
Strong/static electronic correlation mediates the emergence of remarkable phases of matter, and underlies the exceptional reactivity properties in transition metal-based catalysts. Modeling strongly correlated molecules and solids calls for multi-reference Ansätze, which explicitly capture the competition of energy scales characteristic of such systems. With the efficient computational screening of correlated solids in mind, the ghost Gutzwiller (gGut) Ansatz has been recently developed. This is a variational Ansatz which can be formulated as a self-consistent embedding approach, describing the system within a non-interacting, quasiparticle model, yet providing with accurate spectra in both low and high energy regimes. Crucially, small fragments of the system are identified as responsible for the strong correlation, and are therefore enhanced by adding a set of auxiliary orbitals, the ghosts. These capture many-body correlations through one-body fluctuations and subsequent out-projection when computing physical observables. gGut has been shown to accurately describe multi-orbital lattice models at modest computational cost. In this work, we extend the gGut framework to strongly correlated molecules, for which it holds special promise. Indeed, despite the asymmetric embedding treatment, the quasiparticle Hamiltonian effectively describes all major sources of correlation in the molecule: strong correlation through the ghosts in the fragment, and dynamical correlation through the quasiparticle description of its environment. To adapt the gGut Ansatz for molecules, we address the fact that, unlike in the lattice model previously considered, electronic interactions in molecules are not local. Hence, we explore a hierarchy of approximations of increasing accuracy capturing interactions between fragments and environment, and within the environment, and discuss how these affect the embedding description of correlations in the whole molecule. We will compare the accuracy of the gGut model with established methods to capture strong correlation within active space formulations, and assess the realistic use of this novel approximation to the theoretical description of correlated molecular clusters.
强/静态电子相关性介导了非凡物质相的出现,也是过渡金属催化剂特殊反应特性的基础。强相关分子和固体的建模需要多参考解析,以明确捕捉此类系统特有的能级竞争。考虑到相关固体的高效计算筛选,最近开发出了幽灵古茨维勒(gGut)反演算法。这是一种变分公式,可表述为自洽嵌入方法,在非相互作用的准粒子模型中描述系统,同时提供低能和高能状态下的精确光谱。最重要的是,该系统的小碎片被确定为造成强相关性的原因,因此通过添加一组辅助轨道--"幽灵"--来增强其相关性。gGut 已被证明能以适度的计算成本精确描述多轨道晶格模型。在这项工作中,我们将 gGut 框架扩展到强相关分子,因为它在这方面具有特殊的前景。事实上,尽管采用了非对称嵌入处理,但准粒子哈密顿有效地描述了分子中所有主要的相关性来源:通过片段中的幽灵实现的强相关性,以及通过对其环境的准粒子描述实现的动态相关性。与之前考虑的晶格模型不同,分子中的电子相互作用不是局部的。因此,我们探索了一个精度不断提高的近似层次,以捕捉片段与环境之间以及环境内部的相互作用,并讨论这些近似如何影响整个分子中相关性的嵌入描述。我们将比较 gGut 模型与现有方法的准确性,以捕捉活性空间公式中的强相关性,并评估这种新近似方法在相关分子团簇理论描述中的实际应用。
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引用次数: 0
期刊
Faraday Discussions
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