A platform for research: civil engineering, architecture and urbanism
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Abstract The experimentally observed low temperature magnetic behaviour of mixed valent Tm ions has till now not been demonstrated by theories1,2 It is shown here that if the diagramatic perturbation theory of Read etal. is extended to include the f0 level, magnetic ground state becomes possible for proper choice of parameters. The Hamiltonian for an f0-f1-f2 system is written, with usual notations, as (1) $$H = {E_0}|0{\rm{ > < }}0| + {E_1}\sum\limits_m | 1m{\rm{ > < }}1m| + {E_2}\sum\limits_{mmr} | 2mm{\rm{ > < }}2mm'| + \sum\limits_{k,m} {c_{km}^ + } {c_{km}} + \sum {(u|} 0{\rm{ > < }}1m|c_{km}^ + + {\rm{h}}{\rm{.c}}{\rm{.}}) + \sum\limits_{kmm'} {(v|} 1m{\rm{ > < }}2mm'|c_{km'}^ + + {\rm{h}}{\rm{.c}}{\rm{.}})$$ where Ei(i=0, 1, 2) is the energy of the state fi
Abstract The experimentally observed low temperature magnetic behaviour of mixed valent Tm ions has till now not been demonstrated by theories1,2 It is shown here that if the diagramatic perturbation theory of Read etal. is extended to include the f0 level, magnetic ground state becomes possible for proper choice of parameters. The Hamiltonian for an f0-f1-f2 system is written, with usual notations, as (1) $$H = {E_0}|0{\rm{ > < }}0| + {E_1}\sum\limits_m | 1m{\rm{ > < }}1m| + {E_2}\sum\limits_{mmr} | 2mm{\rm{ > < }}2mm'| + \sum\limits_{k,m} {c_{km}^ + } {c_{km}} + \sum {(u|} 0{\rm{ > < }}1m|c_{km}^ + + {\rm{h}}{\rm{.c}}{\rm{.}}) + \sum\limits_{kmm'} {(v|} 1m{\rm{ > < }}2mm'|c_{km'}^ + + {\rm{h}}{\rm{.c}}{\rm{.}})$$ where Ei(i=0, 1, 2) is the energy of the state fi
Tm — A Three Level Mixed Valent System
Dharamvir, K. (author)
1987-01-01
4 pages
Article/Chapter (Book)
Electronic Resource
English
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