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Localized Impurity Embedded in a Two‐Dimensional Electron Gas
Author(s) -
Olszewski S.,
Julien J. P.
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199701)199:1<105::aid-pssb105>3.0.co;2-r
Subject(s) - impurity , fermi gas , condensed matter physics , electron , spin polarization , knight shift , materials science , atomic physics , chemistry , physics , organic chemistry , quantum mechanics , superconductivity
The problem of a localized impurity embedded in a free‐electron gas is examined in the case when the gas forms a two‐dimensional circular disc instead of filling a three‐dimensional sphere. The phase shifts obtained in the disc provide us with a different behavior of the displaced electron charge, residual resistance, electronic specific heat, spin paramagnetism, and electric thermopower than observed in the case of a three‐dimensional electron gas perturbed by a localized impurity having the same potential strength. A difference in the dependence of the Knight shift on the distance from the impurity position is also examined. If the spin polarization of the electron gas by an impurity is admitted, this polarization is found to be easier in a three‐dimensional than in a two‐dimensional electron gas.