量子临界点的两种情形
Two Scenarios of the Quantum Critical Point
摘要：
研究了量子临界点（QCP）的两种不同情形，即朗道态的零温度不稳定性，它与有效质量的发散有关。缺陷的标准方案的QCP，这种分歧是由于一些二阶相变的发生，证明。一个不同的{ \it拓扑}方案的QCP的显着特点，与方程$ε(p)=μ$，通常决定费米动量的分叉点的出现，进行了分析。QCP的拓扑方案被应用到三维（3D）费米液体与一个有吸引力的电流-电流相互作用。
英文摘要：
Two different scenarios of the quantum critical point (QCP), a zero-temperature instability of the Landau state, related to the divergence of the effective mass, are investigated. Flaws of the standard scenario of the QCP, where this divergence is attributed to the occurrence of some second-order phase transition, are demonstrated. Salient features of a different {\it topological} scenario of the QCP, associated with the emergence of bifurcation points in equation $ε(p)=μ$ that ordinarily determines the Fermi momentum, are analyzed. The topological scenario of the QCP is applied to three-dimensional (3D) Fermi liquids with an attractive current-current interaction.
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