Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-04-08
Physical Review B, September 2004, Volume 70, Number 10, Article 104415
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevB.70.104415
For a class of highly frustrated antiferromagnetic quantum spin lattices the ground state exhibits a huge degeneracy in high magnetic fields due to the existence of localized magnon states. For some of these spin lattices (in particular, the 1D dimer-plaquette, sawtooth and kagom\'{e}-like chains as well as the 2D kagom\'{e} lattice) we calculate rigorously the ground-state entropy at the saturation field. We find that the ground-state entropy per site remains finite at saturation. This residual ground-state entropy produces a maximum in the field dependence of the isothermal entropy at low temperatures. By numerical calculation of the field dependence of the low-temperature entropy for the sawtooth chain we find that the enhancement of isothermal entropy is robust against small deviations in exchange constants. Moreover, the effect is most pronounced in the extreme quantum case of spin 1/2.
Derzhko Oleg
Richter Johannes
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