CORRELATIONS IN THE LAYERED ELECTRON-HOLE LIQUID

CORRELATIONS IN THE Tapash School Introduction.- sity metallic state of most EHL drops is much ax=10-sthe ties of the the the EHL o...
Author: Mercy Henderson
0 downloads 0 Views 293KB Size
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