Bose condensation of a dilute charged Bose gas in contact with a dense Fermi liquid is examined. The particles have hard cores and hop on a lattice. It is argued that a ``Bose metal phase,'' i.e., a phase with vanishing condensate fraction, is unlikely to exist in this problem at zero temperature. However very strong renormalizations of the properties of the Bose system occur when the boson band is narrower than the fermion band. We find that the condensate fraction at zero temperature is suppressed by a factor 4(W/ ${\mathit{w}}_{\mathit{b}}$ ${)}^{2}$ exp(-W/ ${\mathit{w}}_{\mathit{b}}$ ) in two dimensions over Gutzwiller-type variational estimates. Here, ${\mathit{w}}_{\mathit{b}}$ and W are the boson and fermion half-band-widths, respectively. There is a similar reduction in the transition temperature. Thus the possibility that high- ${\mathit{T}}_{\mathit{c}}$ superconductors are Bose metals in their normal states cannot be excluded on the basis of present experimental or theoretical evidence.Bose condensation of a dilute charged Bose gas in contact with a dense Fermi liquid is examined. The particles have hard cores and hop on a lattice. It is argued that a ``Bose metal phase,'' i.e., a phase with vanishing condensate fraction, is unlikely to exist in this problem at zero temperature. However very strong renormalizations of the properties of the Bose system occur when the boson band is narrower than the fermion band. We find that the condensate fraction at zero temperature is suppressed by a factor 4(W/${\mathit{w}}_{\mathit{b}}$${)}^{2}$ exp(-W/${\mathit{w}}_{\mathit{b}}$) in two dimensions over Gutzwiller-type variational estimates. Here, ${\mathit{w}}_{\mathit{b}}$ and W are the boson and fermion half-band-widths, respectively. There is a similar reduction in the transition temperature. Thus the possibility that high-${\mathit{T}}_{\mathit{c}}$ superconductors are Bose metals in their normal states cannot be excluded on the basis of present experimental or theoretical evidence.

Physical review. B, Condensed matterJul 1, 19905 citations

The transition temperature of a dilute Bose gas

Markus Holzmann

APSMar 1, 20010 citations

Dielectric response of the charged Bose gas in the random-phase approximation

S. R. Hore, Norman E. Frankel

A closed form for the dielectric function of a charged Bose gas is found in the random-phase approximation. This dielectric constant is used to explore the quasiparticle energy spectrum (i.e., the allowed modes of oscillation of the gas), the damping of these quasiparticles, and the long-ranged form of the electrostatic potential around a test charge in the gas. We do this around the three temperature regions of interest; namely, $T=0$ , $T=\ensuremath{\infty}$, and $T={T}_{c}$ , where ${T}_{c}$ is the transition temperature of the gas.A closed form for the dielectric function of a charged Bose gas is found in the random-phase approximation. This dielectric constant is used to explore the quasiparticle energy spectrum (i.e., the allowed modes of oscillation of the gas), the damping of these quasiparticles, and the long-ranged form of the electrostatic potential around a test charge in the gas. We do this around the three temperature regions of interest; namely, $T=0$, $T=\ensuremath{\infty}$, and $T={T}_{c}$, where ${T}_{c}$ is the transition temperature of the gas.

Physical review. B, Solid stateOct 1, 197558 citations

Critical behavior of a charged Bose gas

R. F. Bishop

Journal of Low Temperature PhysicsJun 1, 197422 citations

{\mathit{w}}_{\mathit{b}}

{)}^{2}

exp(-W/

{\mathit{w}}_{\mathit{b}}

) in two dimensions over Gutzwiller-type variational estimates. Here,

{\mathit{w}}_{\mathit{b}}

and W are the boson and fermion half-band-widths, respectively. There is a similar reduction in the transition temperature. Thus the possibility that high-

{\mathit{T}}_{\mathit{c}}

superconductors are Bose metals in their normal states cannot be excluded on the basis of present experimental or theoretical evidence.

T=0

, $T=\ensuremath{\infty}$, and

T={T}_{c}

, where

{T}_{c}

is the transition temperature of the gas.