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  Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory

Gramsch, C., Balzer, K., Eckstein, M., & Kollar, M. (2013). Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory. Physical Review B, 88(23): 235106. doi:10.1103/PhysRevB.88.235106.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-166E-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-2EBB-9
Genre: Journal Article

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PhysRevB.88.235106.pdf (Publisher version), 2MB
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PhysRevB.88.235106.pdf
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2013
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© American Physical Society
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http://dx.doi.org/10.1103/PhysRevB.88.235106 (Publisher version)
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http://arxiv.org/abs/1306.6315 (Preprint)
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 Creators:
Gramsch, Christian1, Author
Balzer, Karsten2, 3, Author              
Eckstein, Martin2, 3, Author              
Kollar, Marcus1, Author
Affiliations:
1Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany, ou_persistent22              
2Theory of Correlated Systems out of Equilibrium, Research Groups, Max Planck Research Department for Structural Dynamics, Department of Physics, University of Hamburg, External Organizations, ou_2173641              
3CFEL, 22607 Hamburg, Germany, ou_persistent22              

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Free keywords: PACS numbers: 71.27.+a, 71.10.Fd, 05.70.Ln
 Abstract: We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The representability of the nonequilibrium DMFT action by a SIAM is established as a rather general property of nonequilibrium Green functions. We also obtain the nonequilibrium DMFT equations using the cavity method alone. We show how to numerically obtain the SIAM parameters using Cholesky or eigenvector matrix decompositions. As an application, we use a Krylov-based time propagation method to investigate the Hubbard model in which the hopping is switched on, starting from the atomic limit. Possible future developments are discussed.

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Language(s): eng - English
 Dates: 2013-06-262013-12-042013-12-15
 Publication Status: Published in print
 Pages: 21
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevB.88.235106
arXiv: 1306.6315
 Degree: -

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 88 (23) Sequence Number: 235106 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: /journals/resource/954925225008