Physics – Condensed Matter
Scientific paper
1996-05-21
Physics
Condensed Matter
25 pages ReVTeX, one PS file including 7 figures, submitted to J. Phys. Soc. Jpn
Scientific paper
10.1143/JPSJ.65.3032
It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is treated as an Einstein oscillator with restricted Hilbert space such that up to one-phonon process is taken into account. By eliminating the high energy process of conduction electrons, it is shown that a certain class of couplings between ion vibrations and conduction electrons is selectively grown up. As a result the system is reduced to the two-channel Kondo model. The crossover temperature $T_{\rm K}$ and the renormalized phonon frequency $\Delta^{x}$ are expressed in terms of the mass ratio $m/M$, $m$ and $M$ being the mass of electron and ion, and the electron-phonon coupling $g/D$, $D$ being half the bandwidth of conduction electrons. The anomalous behaviors associated with this renormalization can be mesuarable if the condition $T_{\rm K}>\Delta^{x}$ is fulfilled. It is demonstrated that such condition is satisfied when $g/D$ is sufficiently large but in a realistic range.
Kusunose Hiroaki
Miyake Kazumasa
No associations
LandOfFree
Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-315258