Thermal DMRG for highly frustrated quantum spin chains: a user perspective

Thermal DMRG is investigated with emphasis of employability in molecular magnetism studies. To this end magnetic observables at finite temperature are evaluated for two one-dimensional quantum spin systems: a Heisenberg chain with nearest-neighbor antiferromagnetic interaction and a frustrated sawtooth (delta) chain. It is found that thermal DMRG indeed accurately approximates magnetic observables for the chain as well as for the sawtooth chain, but in the latter case only for sufficiently high temperatures. We speculate that the reason is due to the peculiar structure of the low-energy spectrum of the sawtooth chain induced by frustration.Comment: 18 pages, 5 figure

Local empirical processes near boundaries of convex bodies

Poisson point process, Convex body, Empirical process, Support measure, Normal cylinder, Change-set problem, Limit process,