Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain

dc.creatorSirker, J.
dc.creatorBortz, M.
dc.date2005-09-07
dc.date.accessioned2026-07-07T06:25:26Z
dc.date.available2026-07-07T06:25:26Z
dc.descriptionWe calculate the temperature dependence of the boundary susceptibility $χ_B$ for the quantum ferromagnetic Heisenberg chain by a modified spin-wave theory (MSWT). We find that $χ_B$ diverges at low temperatures $\sim -T^{-3}$ and therefore more rapidly and with opposite sign than the bulk susceptibility $χ_{\text{bulk}}\sim T^{-2}$. Our result for $χ_B$ is identical in leading order with the result for the classical system. In next leading orders, however, quantum corrections to the classical result exist which are important to obtain a good description over a wide temperature range. For the $S=1/2$ case, we show that our full result from MSWT is in excellent agreement with numerical data obtained by the density-matrix renormalization group applied to transfer matrices. Finally, we discuss the quantum to classical crossover as well as consequences of our results for experiment in some detail.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0509168
dc.identifierhttp://arxiv.org/abs/cond-mat/0509168
dc.identifierPhys. Rev. B 73, 014424 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.014424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96831
dc.subjectStrongly Correlated Electrons
dc.titleQuantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
dc.typetext

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