Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-09-07
Phys. Rev. B 73, 014424 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 3 figures
Scientific paper
10.1103/PhysRevB.73.014424
We calculate the temperature dependence of the boundary susceptibility $\chi_B$ for the quantum ferromagnetic Heisenberg chain by a modified spin-wave theory (MSWT). We find that $\chi_B$ diverges at low temperatures $\sim -T^{-3}$ and therefore more rapidly and with opposite sign than the bulk susceptibility $\chi_{\text{bulk}}\sim T^{-2}$. Our result for $\chi_B$ 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.
Bortz Michael
Sirker Jesko
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