Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length

Details Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length

2001-03-29

arxiv.org/abs/cond-mat/0103595v3

Phys. Rev. Lett. 87, 120403 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.120403

We show that the shift in the transition temperature of the dilute homogeneous Bose gas is non-analytic in the scattering amplitude, $a$. The first correction beyond the positive linear shift in $a$ is negative and of order $a^2\ln a$. This non-universal non-analytic structure indicates how the discrepancies between numerical calculations at finite $a$ can be reconciled with calculations of the limit $a \to0$, since the linearity is apparent only for anomalously small $a$.

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