Theory of the anisotropic electronic effective mass and lifetime in indium due to the electron-phonon interaction
Anisotropic electron-phonon mass enhancement factor lambda/sub k/ has been calculated point by point over various cyclotron orbits on both the second zone hole and third zone electron sheet of the Fermi surface. Line integrals have also been carried out on these central and non-central orbits both without and including lambda/sub k/ for a magnetic field H in all directions in the (010), (110), (111), and (001) planes for the second zone and in the (011), (110) and (111) planes for the third zone surface, respectively. In general calculated effective masses are in good agreement with the experimental results for all orbits observed by Mina and Khaikin. We find an appreciable anisotropy in lambda/sub k/ over the entire second zone surface. Our calculations also show that lambda/sub k/'s on the third zone electron surface are generally larger than those on the hole surface which is consistent with experimental observation. A similar calculation for the lifetime tau/sup -1/(k) of the electron quasiparticles is also performed for temperatures 0.1K - 10K. T/sup 3/ behavior of tau/sup -1/(k) is obtained only in the free-electron like regions and at low temperatures, as expected. ..gamma..(k), the T/sup 3/ coefficient of tau/sup -1/(k) shows a much larger anisotropy over the second zone hole surface which is compatible with observation of Hoff et al. Overall qualitative agreement of the orbit average ..gamma.. is achieved both on the second zone hole and third zone electron surface over the experimental range of temperature 1.5K - 4.2K.
- Research Organization:
- Indiana State Univ., Terre Haute (USA)
- OSTI ID:
- 5153990
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
360104* -- Metals & Alloys-- Physical Properties
656000 -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
DATA
EFFECTIVE MASS
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY LEVELS
FERMI LEVEL
FERMIONS
INDIUM
INFORMATION
INTEGRALS
LEPTONS
LIFETIME
MAGNETIC FIELDS
MASS
METALS
NUMERICAL DATA
PHONONS
QUASI PARTICLES
TEMPERATURE DEPENDENCE
THEORETICAL DATA