Extension of the non-crossing approximation for the Anderson model with finite Coulomb repulsion

Junya Otsuki, Yoshio Kuramoto

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The non-crossing approximation (NCA) is generalized for the Anderson model with finite Coulomb repulsion U. Resummation of infinite number of terms is performed so as to incorporate all leading contributions in the limit of large degeneracy of the local states. With negligible weight of the doubly occupied local states in equilibrium, the extension is achieved through simple modifications of the lowest order formulae. The single-particle excitation spectrum is calculated with almost the same computational effort as in the original NCA. The present scheme reproduces the scaling behavior of the Kondo resonance in the density of states, and gives reasonable description of thermodynamics of the finite-U Anderson model over a wide range of temperature.

Original languageEnglish
Article number064707
JournalJournal of the Physical Society of Japan
Volume75
Issue number6
DOIs
Publication statusPublished - Jun 1 2006
Externally publishedYes

Fingerprint

approximation
scaling
thermodynamics
excitation
temperature

Keywords

  • Anderson model
  • Entropy
  • Non-crossing approximation (NCA)
  • Resolvent method
  • Single-particle excitation spectrum
  • Specific heat

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Extension of the non-crossing approximation for the Anderson model with finite Coulomb repulsion. / Otsuki, Junya; Kuramoto, Yoshio.

In: Journal of the Physical Society of Japan, Vol. 75, No. 6, 064707, 01.06.2006.

Research output: Contribution to journalArticle

@article{66794c128c9b4deaaba59eb03c9e7f3b,
title = "Extension of the non-crossing approximation for the Anderson model with finite Coulomb repulsion",
abstract = "The non-crossing approximation (NCA) is generalized for the Anderson model with finite Coulomb repulsion U. Resummation of infinite number of terms is performed so as to incorporate all leading contributions in the limit of large degeneracy of the local states. With negligible weight of the doubly occupied local states in equilibrium, the extension is achieved through simple modifications of the lowest order formulae. The single-particle excitation spectrum is calculated with almost the same computational effort as in the original NCA. The present scheme reproduces the scaling behavior of the Kondo resonance in the density of states, and gives reasonable description of thermodynamics of the finite-U Anderson model over a wide range of temperature.",
keywords = "Anderson model, Entropy, Non-crossing approximation (NCA), Resolvent method, Single-particle excitation spectrum, Specific heat",
author = "Junya Otsuki and Yoshio Kuramoto",
year = "2006",
month = "6",
day = "1",
doi = "10.1143/JPSJ.75.064707",
language = "English",
volume = "75",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "6",

}

TY - JOUR

T1 - Extension of the non-crossing approximation for the Anderson model with finite Coulomb repulsion

AU - Otsuki, Junya

AU - Kuramoto, Yoshio

PY - 2006/6/1

Y1 - 2006/6/1

N2 - The non-crossing approximation (NCA) is generalized for the Anderson model with finite Coulomb repulsion U. Resummation of infinite number of terms is performed so as to incorporate all leading contributions in the limit of large degeneracy of the local states. With negligible weight of the doubly occupied local states in equilibrium, the extension is achieved through simple modifications of the lowest order formulae. The single-particle excitation spectrum is calculated with almost the same computational effort as in the original NCA. The present scheme reproduces the scaling behavior of the Kondo resonance in the density of states, and gives reasonable description of thermodynamics of the finite-U Anderson model over a wide range of temperature.

AB - The non-crossing approximation (NCA) is generalized for the Anderson model with finite Coulomb repulsion U. Resummation of infinite number of terms is performed so as to incorporate all leading contributions in the limit of large degeneracy of the local states. With negligible weight of the doubly occupied local states in equilibrium, the extension is achieved through simple modifications of the lowest order formulae. The single-particle excitation spectrum is calculated with almost the same computational effort as in the original NCA. The present scheme reproduces the scaling behavior of the Kondo resonance in the density of states, and gives reasonable description of thermodynamics of the finite-U Anderson model over a wide range of temperature.

KW - Anderson model

KW - Entropy

KW - Non-crossing approximation (NCA)

KW - Resolvent method

KW - Single-particle excitation spectrum

KW - Specific heat

UR - http://www.scopus.com/inward/record.url?scp=33847320727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847320727&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.75.064707

DO - 10.1143/JPSJ.75.064707

M3 - Article

AN - SCOPUS:33847320727

VL - 75

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

M1 - 064707

ER -