Angular Momentum of Anisotropic Superfluids at Finite Temperatures

抄録

With proper care on the boundary conditions, the total orbital angular momentum L_z at finite temperatures is microscopically calculatedfor the Anderson-Brinkman-Morel state in a cylinder with axial symmetry about the z axis, i.e. the textures considered by McClure and Takagi at T=0.The pairing in this geometry occurs between m and 1-m one-particle states, where m denotes the axial quantum number.It is found that L_z decreases from its zero temperature value \frac{(h/2π)}{2} N, with N the total particle number, in the same way asthe components of the superfluid density tensor.Responsible for this reduction is identified to be the phase shift between m and 1-m quasiparticle states caused by the difference in the centrifugal potentials.This fact implies that the plane-wave representation is not suitable for the problem.