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Investigation of the conduction band fermi surface in Bi 2 Se 3 at high electron concentrations
Author(s) -
Köhler H.,
Fischer H.
Publication year - 1975
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/pssb.2220690205
Subject(s) - fermi surface , condensed matter physics , shubnikov–de haas effect , physics , electron , fermi level , quantum oscillations , quantum mechanics , superconductivity
An investigation is made of non‐parabolic terms in the ϵ( k ) relation up to the order of [ k 4 ] at high electron densities up to 4 × 10 19 cm −3 . At low electron densities (<10 18 cm −3 ) the Fermi surface is almost an ellipsoid of revolution with its symmetry axis along the trigonal k c axis. Besides, with increasing Fermi energies, a flattening of the Fermi surface in the direction of the k c axis was found, caused by [ k 4 ] or higher terms in the ϵ( k ) relation. Furthermore the influence of trigonal warping of the Fermi surface was already observed at a concentration of 1.7 × 10 18 cm −3 from Shubnikov‐de Haas effect. Here by means of the Shubnikov‐de Haas effect the extremal cross‐sectional areas of the Fermi surface were determined by application of stationary magnetic fields up to 15 T magnetic induction. The parameters of the assumed ϵ( k ) model up to [ k 4 ] terms were fitted by numerical calculations of the extremal cross‐sectional areas of the Fermi surface perpendicular to arbitrary magnetic field directions and by comparison with the corresponding reciprocal Shubnikov‐de Haas periods.