Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions

Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle...
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Autor*in:	Gebhard, F. [verfasserIn] Jeckelmann, E. Mahlert, S. Nishimoto, S. Noack, R. M.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2003

Schlagwörter:	Momentum Distribution Bethe Lattice Exact Diagonalization Infinite Dimension Renormalization Group Approach

Systematik:	UA 3858.B

Anmerkung:	© Springer-Verlag Berlin/Heidelberg 2003

Übergeordnetes Werk:	Enthalten in: The European physical journal / B - Springer-Verlag, 1998, 36(2003), 4 vom: Dez., Seite 491-509
Übergeordnetes Werk:	volume:36 ; year:2003 ; number:4 ; month:12 ; pages:491-509

Links:	Volltext

DOI / URN:	10.1140/epjb/e2004-00005-5

Katalog-ID:	OLC2065644842

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520			\|a Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths.
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spelling	10.1140/epjb/e2004-00005-5 doi (DE-627)OLC2065644842 (DE-He213)e2004-00005-5-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ UA 3858.B VZ rvk Gebhard, F. verfasserin aut Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin/Heidelberg 2003 Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths. Momentum Distribution Bethe Lattice Exact Diagonalization Infinite Dimension Renormalization Group Approach Jeckelmann, E. aut Mahlert, S. aut Nishimoto, S. aut Noack, R. M. aut Enthalten in The European physical journal / B Springer-Verlag, 1998 36(2003), 4 vom: Dez., Seite 491-509 (DE-627)235469769 (DE-600)1397768-4 (DE-576)061879142 1434-6028 nnns volume:36 year:2003 number:4 month:12 pages:491-509 https://doi.org/10.1140/epjb/e2004-00005-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_105 GBV_ILN_120 GBV_ILN_130 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4323 GBV_ILN_4700 UA 3858.B AR 36 2003 4 12 491-509
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allfieldsSound	10.1140/epjb/e2004-00005-5 doi (DE-627)OLC2065644842 (DE-He213)e2004-00005-5-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ UA 3858.B VZ rvk Gebhard, F. verfasserin aut Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin/Heidelberg 2003 Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths. Momentum Distribution Bethe Lattice Exact Diagonalization Infinite Dimension Renormalization Group Approach Jeckelmann, E. aut Mahlert, S. aut Nishimoto, S. aut Noack, R. M. aut Enthalten in The European physical journal / B Springer-Verlag, 1998 36(2003), 4 vom: Dez., Seite 491-509 (DE-627)235469769 (DE-600)1397768-4 (DE-576)061879142 1434-6028 nnns volume:36 year:2003 number:4 month:12 pages:491-509 https://doi.org/10.1140/epjb/e2004-00005-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_105 GBV_ILN_120 GBV_ILN_130 GBV_ILN_170 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4323 GBV_ILN_4700 UA 3858.B AR 36 2003 4 12 491-509
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source	Enthalten in The European physical journal / B 36(2003), 4 vom: Dez., Seite 491-509 volume:36 year:2003 number:4 month:12 pages:491-509
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author	Gebhard, F.
spellingShingle	Gebhard, F. ddc 530 rvk UA 3858.B misc Momentum Distribution misc Bethe Lattice misc Exact Diagonalization misc Infinite Dimension misc Renormalization Group Approach Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions
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topic_title	530 VZ UA 3858.B VZ rvk Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions Momentum Distribution Bethe Lattice Exact Diagonalization Infinite Dimension Renormalization Group Approach
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title	Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions
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title_full	Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions
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title_sort	fourth-order perturbation theory for the half-filled hubbard model in infinite dimensions
title_auth	Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions
abstract	Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths. © Springer-Verlag Berlin/Heidelberg 2003
abstractGer	Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths. © Springer-Verlag Berlin/Heidelberg 2003
abstract_unstemmed	Abstract. We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction U for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth W, we compare our perturbative results for the self-energy, the single-particle density of states, and the momentum distribution to those from approximate analytical and numerical studies of the model. Results for the density of states from perturbation theory at U/W = 0.4 agree very well with those from the Dynamical Mean-Field Theory treated with the Fixed-Energy Exact Diagonalization and with the Dynamical Density-Matrix Renormalization Group. In contrast, our results reveal the limited resolution of the Numerical Renormalization Group approach in treating the Hubbard bands. The momentum distributions from all approximate studies of the model are very similar in the regime where perturbation theory is applicable, $U/W \le 0.6$. Iterated Perturbation Theory overestimates the quasiparticle weight above such moderate interaction strengths. © Springer-Verlag Berlin/Heidelberg 2003
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title_short	Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions
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