DOI: https://doi.org/10.30970/jps.01.251
SCREENED INTERELECTRON INTERACTION IN ONE-DIMENSIONAL CRYSTAL
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Journal of Physical Studies 1(2), 251–256 (1997)
DOI: https://doi.org/10.30970/jps.01.251 SCREENED INTERELECTRON INTERACTION IN ONE-DIMENSIONAL CRYSTAL |
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B. A. Lukiyanets1, N. K. Tovstyuk2
1State University Lvivska Politekhnika, Chair of Physics
12 S. Bandera Str., Lviv, UA-290646, Ukraine
2Ivan Franko Lviv State University, Chair of
Semiconductor Physics
50 Drahomanov Str., Lviv, UA-290005, Ukraine
Screening the interelectron interaction in the crystal with a narrow electron band in the frames of 1D model is analysed. Interelectron interaction screening for the electrons with a narrow nonparabolic band in 1D model is shown to be leading to its oscillating sign–variable character depending on the distance. Physically, it means that depending on the distance such an interaction is of varying nature — attractive or repulsive. A similar dependence on $r$ (at large $r$) is usual for the ion–ion interaction (the so-called Friedel oscillations) and it takes place at the indirect exchange ‟ion–electron–ion" only. It is significant to point out that the obtained oscillations can be seen as a result of the direct 1D electron–electron interaction.