# Bulletin of the American Physical Society

# APS March Meeting 2011

## Volume 56, Number 1

## Monday–Friday, March 21–25, 2011; Dallas, Texas

### Abstract: K1.00105 : Specific heat of bosons in periodical bilayers

#### Author:

We report the specific heat at constant volume of
an ideal boson gas inside a periodical bilayer structure modeled
with a generalized Kronig-Penney (KP) delta potential in the
$z$-direction while the particles are free in the other two
directions. The generalized KP potential has two different
strength delta potentials by unit cell, and they are separated
$\beta a,$ where $a$ is the unit cell length and $0\leq \beta
\leq 1$. After calculating the energy band structure we use it to
obtain the
Bose-Einstein condensation critical temperature besides the
chemical potential, the internal energy and the specific heat, as
functions of the temperature, for different values of the
parameters $a$, $\beta$ and the delta strengths. For any
parameter set we observe a Bose-Einstein condensation at a lower
temperature than that of an infinite ideal Bose gas in the
thermodynamic limit and with the same particle density.
From the specific heat we distinguish at least four
characteristic lengths. They are associated to the thermal wave
length values at: the BEC critical temperature where the specific
heat shows a peak and a discontinuity in their derivative; two
minima of the specific heat where the thermal wave lengths are
equal to two times the plane separations $\beta a$ and ($a -
\beta a$); and about 0.7 times the minimum plane separation,
where the specific heat behavior returns to that of an ideal Bose
gas. Also the delta strength effects on the specific heat are
discussed.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.K1.105

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