GENERALIZED BARDEEN-COOPER-SCHRIEFFER STATES AND PROPOSED LOW-TEMPERATURE PHASE OF LIQUID HE3
GENERALIZED BARDEEN-COOPER-SCHRIEFFER STATES AND PROPOSED LOW-TEMPERATURE PHASE OF LIQUID HE3
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DOI：
10.1103/physrev.123.1911
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发表时间：
1961-01-01
期刊：
影响因子：
--
通讯作者：
MOREL, P
中科院分区：
文献类型：
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作者：
ANDERSON, PW;MOREL, P
费米气体中的粒子相互作用可能在l= 1,2,3或更高的状态下比在简单的球对称s状态下更强烈地吸引靠近费米表面的粒子对。在这种情况下，Bardeen-Cooper-Schrieffer凝聚态必须普遍化，得到的状态是各向异性超流体。我们已经相当详细地研究了这类状态的性质，特别是当l= 1和2时。我们已经推导出了能量，转动惯量，磁化率和比热的表达式。导出了密度相关函数和密度-电流密度相关函数；在某些情况下，后者意味着液体具有净表面电流和净轨道角动量。l= 2的基态与之前考虑的基态不同，基态具有立方对称，没有净角动量。给出了用简单的散射矩阵代替可能相当复杂的势的一般方法。还包括对可能的集体效应的简要讨论。我们将结果应用于液体He 3；在用Suhl法对散射进行校正后，发现预测的跃迁应该发生在0.02 K以下。提出了其他可能的应用。
Particle interactions in a Fermi gas may be such as to attract pairs near the Fermi surface more strongly in l= 1, 2, 3 or higher states than in the simple spherically symmetrical s state. In that case the Bardeen-Cooper-Schrieffer condensed state must be generalized, and the resulting state is an anisotropic superfluid. We have studied the properties of this type of state in considerable detail, especially for l= 1 and 2. We have derived expressions for the energy, the moment of inertia, the magnetic susceptibility and the specific heat. We also derive the density correlation function and the density-current density correlation; in some cases the latter implies that the liquid has net surface currents and a net orbital angular momentum. The ground state for l= 2 is different from those previously considered, and has cubic symmetry and no net angular momentum. A general method for replacing the possibly rather complicated potential by a simple scattering matrix is given. A brief discussion of possible collective effects is included. We apply our results to liquid He 3; after correction for scattering by a method due to Suhl, it is found that the predicted transition should take place below 0.02 K. Other possible applications are suggested.