Bose-Einstein condensation in multilayers

Abstract

The critical BEC temperature $T_c$ of a non interacting boson gas in a layered structure like those of cuprate superconductors is shown to have a minimum $T_{c,m}$, at a characteristic separation between planes $a_m$. It is shown that for $a<a_m$, $T_c$ increases monotonically back up to the ideal Bose gas $T_0$ suggesting that a reduction in the separation between planes, as happens when one increases the pressure in a cuprate, leads to an increase in the critical temperature. For finite plane separation and penetrability the specific heat as a function of temperature shows two novel crests connected by a ridge in addition to the well-known BEC peak at $T_c$ associated with the 3D behavior of the gas. For completely impenetrable planes the model reduces to many disconnected infinite slabs for which just one hump survives becoming a peak only when the slab widths are infinite.

Four pages, four figures

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Disordered quantum gases under control
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Condensation, excitation, pairing, and superfluid density in high-$T_c$ superconductors: magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Cited by in corpus (6)

• Dimensional crossover of a boson gas in multilayers
• Specific heat of underdoped cuprate superconductors from a phenomenological layered Boson-Fermion model
• Trapping effect of periodic structures on the thermodynamic properties of Fermi and Bose gases
• Boson gas in a periodic array of tubes
• Bose gas in disordered, finite-layered systems
• BEC and dimensional crossover in a boson gas within multi-slabs