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Magnetic Susceptibility of Copper Oxide Based Antiferrornagnets in an Anisotropic Heisenberg Model
Author(s) -
Singh R. P.,
Tao Z. C.,
Singh M.
Publication year - 1993
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.2221790227
Subject(s) - magnetic susceptibility , condensed matter physics , anisotropy , copper , copper oxide , heisenberg model , coupling (piping) , oxide , crossover , physics , chemistry , materials science , antiferromagnetism , quantum mechanics , artificial intelligence , computer science , metallurgy , organic chemistry
The RPA Green's function theory is extended to study the magnetic properties of copper oxide based antiferromagnets in an anisotropic Heisenberg model. It is shown rather generally by the use of spectral representation that the magnetic properties of copper oxide based antiferromagnets have a crossover from 3D to quasi‐2D behavior near the temperature (≈ 2 J ∥ √2 r / k B ). Here J ∥ is the intraplanar exchange coupling strength and r the ratio of interplanar to intraplanar coupling strengths. The magnetic susceptibility as a function of temperature is calculated numerically. Our numerical results are compared with experimental measurements of the magnetic susceptibility on La 2 CuO 4_ y compounds. It is found that the RPA magnetic susceptibility agrees reasonably well with experiments at high temperatures, but misses totally the peak near the temperature (≈2 J ∥ / k B ).