Theory of inelastic scattering from quantum impurities

L. Borda, Lars Fritz, Natan Andrei, G. Zaránd

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities to study the energy dependence of the single-particle S matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin S=12 two-channel Kondo model, the Anderson model, and the usual S=12 single-channel Kondo model. We discuss the difference between non-Fermi-liquid and Fermi-liquid models and study how a crossover between the non-Fermi-liquid and Fermi-liquid regimes appears in the case of channel anisotropy for the S=12 two-channel Kondo model. We show that for the most elementary non-Fermi-liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the T matrix to local correlation functions are also presented.

Original languageEnglish
Article number235112
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number23
DOIs
Publication statusPublished - Jun 15 2007

Fingerprint

Inelastic scattering
inelastic scattering
Impurities
impurities
Fermi liquids
Liquids
liquids
matrices
Fermi level
scattering cross sections
crossovers
Anisotropy
derivation
anisotropy
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Theory of inelastic scattering from quantum impurities. / Borda, L.; Fritz, Lars; Andrei, Natan; Zaránd, G.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 75, No. 23, 235112, 15.06.2007.

Research output: Contribution to journalArticle

@article{7f27d029f316459990eb05a43333bf58,
title = "Theory of inelastic scattering from quantum impurities",
abstract = "We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities to study the energy dependence of the single-particle S matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin S=12 two-channel Kondo model, the Anderson model, and the usual S=12 single-channel Kondo model. We discuss the difference between non-Fermi-liquid and Fermi-liquid models and study how a crossover between the non-Fermi-liquid and Fermi-liquid regimes appears in the case of channel anisotropy for the S=12 two-channel Kondo model. We show that for the most elementary non-Fermi-liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the T matrix to local correlation functions are also presented.",
author = "L. Borda and Lars Fritz and Natan Andrei and G. Zar{\'a}nd",
year = "2007",
month = "6",
day = "15",
doi = "10.1103/PhysRevB.75.235112",
language = "English",
volume = "75",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "23",

}

TY - JOUR

T1 - Theory of inelastic scattering from quantum impurities

AU - Borda, L.

AU - Fritz, Lars

AU - Andrei, Natan

AU - Zaránd, G.

PY - 2007/6/15

Y1 - 2007/6/15

N2 - We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities to study the energy dependence of the single-particle S matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin S=12 two-channel Kondo model, the Anderson model, and the usual S=12 single-channel Kondo model. We discuss the difference between non-Fermi-liquid and Fermi-liquid models and study how a crossover between the non-Fermi-liquid and Fermi-liquid regimes appears in the case of channel anisotropy for the S=12 two-channel Kondo model. We show that for the most elementary non-Fermi-liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the T matrix to local correlation functions are also presented.

AB - We use the framework setup recently to compute nonperturbatively inelastic scattering from quantum impurities to study the energy dependence of the single-particle S matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin S=12 two-channel Kondo model, the Anderson model, and the usual S=12 single-channel Kondo model. We discuss the difference between non-Fermi-liquid and Fermi-liquid models and study how a crossover between the non-Fermi-liquid and Fermi-liquid regimes appears in the case of channel anisotropy for the S=12 two-channel Kondo model. We show that for the most elementary non-Fermi-liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the T matrix to local correlation functions are also presented.

UR - http://www.scopus.com/inward/record.url?scp=34347371055&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34347371055&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.75.235112

DO - 10.1103/PhysRevB.75.235112

M3 - Article

AN - SCOPUS:34347371055

VL - 75

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 23

M1 - 235112

ER -