Abstract
We study an effective action of bosons interacting with a gauge field, which is derived from the t-J model in the slave-boson approach. We use a renormalization-group (RG) scheme to calculate the temperature ${\mathit{T}}_{\mathrm{BE}}$ below which the bosons start to condense in a superfluid state. One expects that a strongly fluctuating gauge field tends to destroy this superfluid state. Our numerical calculations indeed show that the presence of a gauge field suppresses the onset of superfluidity. This suppression is partly due to quantum fluctuations, and partly due to thermal excitations of the gauge field. An analytical calculation of the flow in the classical regime T(l)\ensuremath{\gg}1 shows that our perturbative RG scheme provides an expansion of the suppression of ${\mathit{T}}_{\mathrm{BE}}$ in powers of ${\mathit{q}}_{00}^{2}$/${\mathit{u}}_{0}$, where ${\mathit{q}}_{00}^{2}$ is the coupling constant of the gauge field, and ${\mathit{u}}_{0}$ is the short-range repulsion between the bosons. The RG scheme breaks down if ${\mathit{q}}_{00}^{2}$/${\mathit{u}}_{0}$\ensuremath{\gtrsim}1, in which case one gets into the strong-coupling limit. Thus unfortunately the RG scheme is not reliable for the strong-coupling problem, which is appropriate for the t-J model with t/J\ensuremath{\sim}1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.