交换和弱Dzyaloshinsky-Moriya各向异性对自旋能隙磁体热力学特性的影响
Effects of exchange and weak Dzyaloshinsky-Moriya anisotropies on thermodynamic characteristics of spin-gapped magnets
摘要：
我们研究了量子磁体的低温性质的修改，如磁化强度，热容，能谱，凝聚和非凝聚准粒子（三重子）的密度，由于在平均场为基础的方法的框架内的各向异性。我们表明，与交换各向异性（EA）相互作用相反，Dzyaloshinsky-Moriya（DM）相互作用显着改变了物理学。特别地，它在整个温度范围内改变异常密度的符号。它的临界行为也被EA稍微修改了。我们发现，相变的临界温度的移动（或由DM相互作用引起的交叉）是正的和显著的。使用的化合物TlCuCl $_3$的磁化强度的实验数据，我们已经找到了EA和DM相互作用的强度的最佳值。低激发的能量的频谱也进行了研究，发现开发一个类似于Goldstone模式的线性色散与可忽略不计的小各向异性间隙。
英文摘要：
We study the modification of low temperature properties of quantum magnets such as magnetization, heat capacity, energy spectrum, and densities of condensed and noncondensed quasiparticles (triplons) due to anisotropies in the framework of mean-field based approach. We show that in contrast to exchange anisotropy (EA) interaction, Dzyaloshinsky-Moriya (DM) interaction modifies the physics dramatically. Particularly, it changes the sign of the anomalous density in the whole range of temperatures. Its critical behavior is slightly modified also by the EA. We have found that the shift of the critical temperature of phase transition (or crossover caused by DM interaction) is positive and significant. Using the experimental data on the magnetization of the compound TlCuCl$_3$, we have found optimal values for the strengths of EA and DM interactions. The spectrum of the energy of low lying excitations has also been investigated and found to develop a linear dispersion similar to Goldstone mode with a negligibly small anisotropy gap.
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