### 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 language | English |
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Article number | 175701 |

Journal | Journal of Physics Condensed Matter |

Volume | 21 |

Issue number | 17 |

DOIs | |

Publication status | Published - 2009 |

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### 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.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Coupling of conduction electrons to two-level systems formed by hydrogen

T2 - A scattering approach

AU - Nagy, I.

AU - Zawadowski, A.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=65149095812&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65149095812&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/21/17/175701

DO - 10.1088/0953-8984/21/17/175701

M3 - Article

C2 - 21825429

AN - SCOPUS:65149095812

VL - 21

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 17

M1 - 175701

ER -