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Effect of Trigonal Warping on Landau Levels of Graphite
Author(s) -
Gupta O. P.,
Wallace P. R.
Publication year - 1972
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.2220540103
Subject(s) - image warping , trigonal crystal system , graphite , hamiltonian (control theory) , landau quantization , mathematics , physics , chemistry , condensed matter physics , magnetic field , quantum mechanics , computer science , crystallography , mathematical optimization , artificial intelligence , crystal structure , organic chemistry
We have devised a successive approximation scheme for taking account of the trigonal warping (γ 3 ) terms in the calculation of the lower‐lying magnetic levels of graphite at fields ⩾ 20 kG. A two‐component effective Hamiltonian has been introduced for these levels. Starting from analytic expressions in the case γ; 3 = 0, straightforward and simple iteration schemes have been devised (i) to take account of the higher levels and (ii) to obtain the γ 3 contributions. It is found that the trigonal warping changes the levels only by a few per cent except for the n = 0 levels. The levels n = 0, 1, 2, 3 have been calculated for a range of fields from 20 to 200 kG.