Coupling of conduction electrons to two-level systems formed by hydrogen

A scattering approach

I. Nagy, A. Zawadowski

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

An effective Hamiltonian for a two-level system (TLS) which could model the interaction between a tunneling proton and the conduction electrons of a metal is investigated in a comparative way. In the conventional first-order Born approximation with plane waves, and for small-distance displacement of the tunneling particle, a simple correlation between the atomic motion and angular momentum change of the scattering electron is deduced. For such a displacement, and within a distorted wave Born approximation for initial and final states, the change in the scattering amplitude is expressed via bounded trigonometric functions of the corresponding difference of scattering phase shifts. The numerical value of this amplitude change is analyzed in the framework of a self-consistent screening description for an impurity embedding in a paramagnetic electron gas. The coupling thus obtained of the tunneling proton to a homogeneous electron gas is too weak to be in the range required for realization of the two-channel Kondo effect.

Original languageEnglish
Article number175701
JournalJournal of Physics Condensed Matter
Volume21
Issue number17
DOIs
Publication statusPublished - 2009

Fingerprint

Born approximation
Electron gas
conduction electrons
Protons
Hydrogen
Scattering
Kondo effect
Hamiltonians
Electron scattering
electron gas
Electrons
Angular momentum
hydrogen
scattering
Phase shift
trigonometric functions
Screening
protons
Metals
Impurities

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Materials Science(all)

Cite this

Coupling of conduction electrons to two-level systems formed by hydrogen : A scattering approach. / Nagy, I.; Zawadowski, A.

In: Journal of Physics Condensed Matter, Vol. 21, No. 17, 175701, 2009.

Research output: Contribution to journalArticle

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