Convexity of the self-energy functional in the variational cluster approximation

Andriy H. Nevidomskyy; David Senechal; A.-M. S. Tremblay

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Convexity of the self-energy functional in the variational cluster approximation

机译：自能泛函在变分簇近似中的凸性

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In the variational cluster approximation (VCA) (or variational cluster perturbation theory), widely used to study the Hubbard model, a fundamental problem that renders variational solutions difficult in practice is its known lack of convexity at stationar

机译：在广泛用于研究Hubbard模型的变分簇近似（VCA）（或变分簇扰动理论）中，使变分解在实践中变得困难的一个基本问题是已知的平稳位置缺乏凸性

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来源
《Physical review》 |2008年第7期|177-188|共12页
作者
Andriy H. Nevidomskyy; David Senechal; A.-M. S. Tremblay;
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正文语种 eng
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lattice fermion models (hubbard model, etc.); computational methodology (brillouin zone sampling, iterative diagonalization, pseudopotential construction); theories and models of many-electron systems;

机译：格子费米子模型（哈伯德模型等）;计算方法（布里渊区采样;迭代对角化;伪势构造）;多电子系统的理论和模型;

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2. CALCULATION OF THE PROBABILITY DISTRIBUTION OF BASIC CLUSTERS INVOLVED IN CLUSTER-VARIATION APPROXIMATIONS TO THE ISING MODEL [J] . Vinograd VL., Putnis A., Saxena SK. Physical Review, B. Condensed Matter . 1997,第18期

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4. A first principles study of small Cu{sub}n clusters based on local-density and generalized-gradient approximations to density functional theory [C] . Carlo Massobrio, Alfredo Pasquarello, Andrea Dal Corso Symposium D on Computational Modeling of Issues in Materials Science . 1997

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6. Density-functional expansion methods: Evaluation of LDA GGA and meta-GGA functionals and different integral approximations [O] . Timothy J. Giese, Darrin M. York -1

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7. Convexity of the self-energy functional in the variational cluster approximation [O] . Nevidomskyy, Andriy H., Sénéchal, David, Tremblay, A. -M. S. 2007

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8. Comment on 'Convexity of the Free Energy in Some Real-Space Renormalization-Group Approximations' [R] . Tsallis, C. 1983

机译：评“一些实空间重整化 - 群近似中自由能的凸性”

Convexity of the self-energy functional in the variational cluster approximation

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