强关联电子气在dHvA效应下的相分叉
Phase Bifurcations of Strongly Correlated Electron Gas at the Conditions of dHvA Effect
摘要：
在突变理论的框架下，我们研究了dHvA效应条件下强关联电子气体系统的平衡集，并证明了伴随抗磁相变（DPT）的不连续性是由Riemann-Hugoniot突变处理的.我们表明，DPT $a\ge$ 1（其中$a$是微分磁化率）的观测标准条件的适用性仅在对应于dHvA周期中心的三重简并点的最近附近有效，但对于dHvA振荡的每个周期中的任意磁场值，该条件根据尖点突变的分叉集进行修改。而在dHvA周期中心处，对称超临界干草叉分岔引起温度二级相变，而磁场偏离dHvA周期中心对应值则导致温度和磁场上的相变顺序从第二级变为第一级。在发达的理论框架，我们得到了很好的协议与现有的实验数据。
英文摘要：
In a framework of catastrophe theory we investigate the equilibrium set for the system of strongly correlated electron gas at the conditions of dHvA effect and show that the discontinuities accompanied the diamagnetic phase transition (DPT) is handled by Riemann-Hugoniot catastrophe. We show that applicability of the standard condition for observation of DPT $a\ge$1 where $a$ is the differential magnetic susceptibility is valid only in the nearest vicinity of triple degenerate point corresponding to the center of dHvA period, but for arbitrary value of magnetic field in every period of dHvA oscillations this condition is modified in accordance with the bifurcation set of cusp catastrophe. While at the center of dHvA period the symmetric supercritical pitchfork bifurcation gives rise to the second order phase transition on temperature, the deviation of magnetic field from the value corresponding to the center of dHvA period results in the change of the phase transition order from the second to the first one both on temperature and magnetic field. In the framework of developed theory we obtain good agreement with available experimental data.
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