CORRELATIONS
IN THE
Tapash School
Introduction.-
sity
metallic
state
of
most
EHL
drops is
much
ax=10-sthe
ties
of
the
the
the
EHL
of
fluids.The
the
exciton
surface
two-component
the
of
of
such in
the
has
are
very
two
dimensions
good
radius distance
bulk
propermany-body
been
a fascinating
EHL
pairs)
effects.Recently,a
systems
etc.
lO-3-10-~cm,
interaction
calculating
the
properties density
electron-hole
characteristic
neglect
properties
radius
is
experimental
equilibrium
drop
(bound
the
can
for
an
den-
respects:It
characteristic
has with
a high
a collective
quantum
drop. Therefore,in
obtained
form
many
has
the
concentrations,
to
in
the
ground-state
carrier
liquid(EHL)1'2is
shape
the
approach3'~for
the
high
unique
conserved,it
than
EHL,one
results
most
55455,USA.
condense
is
represents
in
and
the
a spherical
particles
variational study
is
lO-6cm,which
Astronomy
electron-hole
that
larger
and
holes,which
volume
C.E.Campbell
semiconductors
metals,and
have
Physics
temperatures
This
indicated Its
and
LIQUID
Minnesota,Minneapolis,MN
in
and
of
have
which of
liquid.
a liquid.
The
low
holes
electrons
metallic
results of
and
of
of
At
electrons
ELECTRON-HOLE
Chakraborty
University
the
LAYERED
applied system.
agreement
to
Some
s with
of recent
experiments. The
study
problem
for
orts 6 to on
of
the
various
obtain
standard
such
in
the
correlation
the
problem accute
unphysical
functions.
in
negative
is are
Secondly,all
approachesg.A
the
of
Firstly,there
systems.
perturbative
methods,however,is
es
EHL
reasons.
earlier major
behavior
Study
of
the
correlation
two-dimensions,which
also
eff-
worksT'8'1°were
the
at
based
inherent
in
short-range
inversion
the
interesting
experimental
problem of
functions affects
a very
current
those
part
of
layer
9 indicated
that
small
distances
becom-
ground-state
properties
significantly. In
the
following,we
electron-hole with
many-valley
Layered and
shall with
of
finite
separated
planes
in
investigate
variable
the
interlayer
two
cases:a)the
layered
separations,and
b)
systems
structure.
electron-hole
holes
planes the
liquid
by
liquid.-
We
two-dimensional a distance
forbidden.
This
consider density
c. The type
of
tunneling charge
a model
11 where
p,move
in
of
the
distribution
two
electrons
different
particles is
between
possible
in
245
two
adjacent
perturbed
where the We
parts
of
eigenstates
A is the spin
a semiconductor
in this ÷ ¢~,o,m(r,z)
only
is arbitarily lations
the
highly
for
the
the
kf
is the
!ocalized,x
Bessel
radius
function.
structure
or =
of
The
function
is
1 for
in which
electrons gf(r)
where
area,~ and
limit
an
electrical
discharge.
the
vector,a
holes
=~(z).The
eigenstate
nondynamical
a finite is,
al vector.
a two-dimensional
(
of
2 sin-l(k/2kf)+
separation
where
less variables energy in the
(2) k
disk' gives
and
Jl(X)
between
the
the
~ =
us
the
ideal
gas
7
[l-(k/2kf)2]
½,
k