C K Majumdar
Articles written in Pramana – Journal of Physics
Volume 4 Issue 1 January 1975 pp 45-52 Solids
Effect of correlation on the band structure of cerium
R S Rao C K Majumdar B S Shastry R P Singh
The electronic band structure of f.c.c. phase of the rare earth metal cerium (
Volume 20 Issue 1 January 1983 pp 73-75 Statistical Physics
Connectivity constant of the kagomé lattice
From the computation of self-avoiding walks on the kagomé lattice, its connectivity constant is found to be 2·569 ± 0·008.
Volume 23 Issue 3 September 1984 pp 385-394 Solid State Physics
Effect of correlation and spin-polarisation on the band structure of metallic dysprosium
P K Mukhopadhyay C K Majumdar K C Das
Energy bands of dysprosium have been calculated considering the effects of correlation and spin-polarisation. The exchange and correlation contributions to the spherically symmetric crystalline potential have been taken in the forms suggested by (i) Kohn and Sham and (ii) Overhauser. The exchange and correlation potential of von Barth and Hedin has been used to study the effect of spin-polarisation on the band structures. The resulting bandwidth, density of states, magnetic moment and spin-splitting have been computed and compared with experimental results. Some discrepancies remain; theoretical calculations done so far agree reasonably among themselves, so accurate experimental data are probably called for.
Volume 25 Issue 4 October 1985 pp 505-512 Solid State Physics
Broken symmetry in antiferromagnets
We discuss limitations of the conventional ‘broken symmetry’ picture of the Heisenberg antiferromagnet. The exact results on the ground state of the linear chain and of the three-dimensional Hamiltonian do not show a ‘degeneracy of the vacuum’. With the help of a solvable model it is shown that the correlations in the ground state may have the Néel character, as revealed by the neutron experiments, even though the ground state is quite different from the Néel states. There is no Goldstone mode in the linear chain. The spin of the antiferromagnetic spin wave is 1/2. But the physical states have a doublet of the spin waves which could be regarded as degenerate states of spin 1 and spin 0. The fermionic character is suppressed and the bosonic character revealed, as in the decolouring phenomena in quantum field theory. It is plausible that in the three-dimensional case also there is no Goldstone mode.
Volume 27 Issue 1-2 July 1986 pp 331-336 Solid State Physics
Mössbauer spectroscopy of green shale from banded iron formation
D Das M B Chakrabarti C K Majumdar M K Bose
A green shale from the Precambrian banded iron formation of the Bonai Range, Eastern India, is examined by transmission Mössbauer spectroscopy. The constituent phases are identified to be chlorite, siderite and magnetite. The fractional resonance area of each constituent is computed and the ferrous-ferric ratio determined. The variation of this ratio over the sample is examined. Intensity of the magnetite lines reveals that deviation from stoichiometry is negligible. The observations suggest a transition within short range from silicate-rich facies to carbonate-oxide-rich facies in the studied section.
Volume 97, 2023
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