HAL Id: jpa-00217713
https://hal.archives-ouvertes.fr/jpa-00217713
Submitted on 1 Jan 1978
HAL is a multi-disciplinary open access
archive for the deposit and dissemination of
sci-entific research documents, whether they are
pub-lished or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d’enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.
BARRIER PROFILES I N CLEAN AND DOPED
TUNNEL JUNCTIONS
R. Floyd, W. Nelson, D. Walmsley
To cite this version:
R. Floyd, W. Nelson, D. Walmsley.
BARRIER PROFILES I N CLEAN AND DOPED
JOURNAL DE P H Y S I Q ~
Colloque C6, supplkment au no 8, Tome 39, aoQt 1978,
page (26-610B A R R I E R P R O F I L E S I N CLEAN AND DOPED TUNNEL JUNCTIONS
R.B. Floyd, W.J. Nelson and D.G. Walmsley
School of PhysicaZ Sciences, New University of Ulster, Cozeraine, Northern Ireland BT52 ISA
Rdsum6.- Nous avons f a i t l e s c a l c u l s en u t i l i s a n t l a mCthode de WKB e t nous l e s avons f a i t accorder avec l a conductance mesurge des j o n c t i o n s t u n n e l s (Al-I-Pb), l e s unes propres e t l e s a u t r e s avec l e s . impuretds. Les b a r r i s r e s dBduites pour l e s j o n c t i o n s propres s o n t asymgtriques 1,5 eV, $2 = 4,5 eV): Nous expliquons c e s r d s u l t a t s p a r une d i f f e r e n c e de c o n c e n t r a t i o n deg e s p s c e s hydroxyles ndga- t i v e s s t r a v e r s l a b a r r i s r e . Une b a r r i g r e h a u t e ( 1 10 eV) e t mince (- 2,5 A) d d c r i t l a couche organi- que des j o n c t i o n s avec l e s impuretds.
Abstract;- We have measured t h e conductances of c l e a n and doped A1-I-Pb tunnel j u n c t i o n s and f i t t e d them by a WKB c a l c u l a t i o n i n which t h e b a r r i e r parameters were v a r i e d . I n undoped j u n c t i o n s t h e bar- r i e r s o deduced i s h i g h l y asymmetric 1.5 eV, $,
-
4.5 eV). We e x p l a i n t h e r e s u l t s by a concgn- t r a t i o n g r a d i e n t of f r a c t i o n a l l y charged n e g a t i v e hydroxyl s p e c i e s i n t h e b a r r i e r . A t h i n (%2.5 A) high (% 10 eV) b a r r i e r , a s s o c i a t e d w i t h t h e o r g a n i c l a y e r , reproduces t h e measured conductances i n doped j u n c t i o n s .F i s h e r and G i a e ~ e r / I / , i n t h e i r p i o n e e r i n g paper, determined t h e c u r r e n t - v o l t a g e response of A1-I-A1 sandwiches i n t h e range 0 t o % 2V. Theyfound a roughly l i n e a r c u r r e n t i n c r e a s e a t low (< 50 mV) b i
a
s , exponential i n c r e a s e a t high (> 200 mV) b i a s and an e x p o n e n t i a l i n c r e a s e of r e s i s t a n c e w i t h insu- l a t o r t h i c k n e s s . A l l t h e s e o b s e r v a t i o n s were shown t o f i t w e l l t o an a n a l y s i s of t u n n e l i n g due to Holm121.
Comment was made on t h e inhomogeneity of t h et u n n e l b a r r i e r , which was e v i d e n t from a s l i g h t rec- t i f i c a t i o n p r e s e n t a t a l l v a l u e s of b i a s . The o n l y s u r p r i s e was a discrepancy between t h e Holm thick- n e s s r e q u i r e d t o e x p l a i n t h e r e s u l t s and t h e v a l u e s
We have measured t h e dynamic conductance of c l e a n and d e l i v e r a t e l y doped t u n n e l j u n c t i o n s and attempted t o determine t h e b a r r i e r parameters by f i t t i n g t h e r e s u l t s t o t h e conductance c a l c u l a t e d i n t h e BDR f a s h i o n . The f i t s were found by t r i a l a n d e r r o r v a r i a t i o n s of t h e parameters i n t h e c a l c u l a - t i o n .
The total c u r r e n t at b i a s V is
deduced by c a p a c i t a n c e measurements. The l a t t e r were
For e v a l u a t i o n of t h e t u n n e l p r o b a b i l i t y a t r a p e z o i - g r e a t e r by a f a c t o r of t h r e e and t h e discrepancy was
d a l b a r r i e r i s chosen t o r e p r e s e n t t h e i n s u l a t o r i n r e s o l v e d by a t t r i b u t i n g an e f f e c t i v e mass of 119 t o
a c l e a n j u n c t i o n . I n doped samples an o r g a n i c bar- t h e t u n n e l i n g e l e c t r o n s .
r i e r of h e i g h t @ and t h i c k n e s s S i s added. L a t e r , more e x t e n s i v e and r e l i a b l e d a t a ena-
Tunnel sandwiches of the type A1-I-Pb were f a - b l e d Rowel1 131 t o i d e n t i f y a common f e a t u r e of near-
b r i c a t e d by w e l l - e s t a b l i s h e d techniques. A wide va- l y a l l tunnel j u n c t i o n s : t h e conductance could be
r i e t y of o r g a n i c s p e c i e s w i l l chemisorb t o t h e f r e -
-
roughly approximated by a parabola with i t s a x i ss h l y grown oxide (Walmsley e t a l . 151). By varying o f f s e t from z e r o b i a s . Subsequently Brinkman, Dynes
the exposure, any coverage up t o s a t u r a t i o n (% 1 and Rowel1 / 4 / ( h e r e a f t e r BDR) c a r r i e d through a nu-
monolayer) i s p o s s i b l e . The convention adopted i n m e r i c a l e v a l u a t i o n of t h e conductance f o r a trape-
t h i s work i s t h a t p o s i t i v e b i a s corresponds t o t h e z o i d a l b a r r i e r shape. A problem which BDR encounte-
l e a d (Pb) e l e c t r o d e being p o s i t i v e . r e d was t h e f a i l u r e of t h e i r model t o e x p l a i n l a r g e
An e x a m ~ l e of measured and f i t t e d conductan- (Q 250 mV) o f f s e t s of the conductance minimum. They
c e s i s shown i n f i g u r e 1. The f i t t i n g d a t a f o r a suggested a more d i s t o r t e d p o t e n t i a l was r e q u i r e d
number of samples i s shown i n Table I. P a r t i c u l a r t o account f o r t h e behaviour and noted a c o r r e l a t i o n
a t t e n t i o n was paid t o o b t a i n i n g t h e c o r r e c t abso- -
between the o f f s e t s and o r g a n i c contamination of t h e 1
l u t e v a l u e of t h e conductance (Q- ) a t zero b i a s
j u n c t i o n s . 0
and a l s o a t t h e b i a s l i m i t s .
R e f e r e n c e s ( a
I
( b l F i g . 1 : T r a p e z o i d a l and b i l a y e r p o t e n t i a l b a r r i e r s r e p r e s e n t i n g c l e a n and doped j u n c t i o n s . DOPE NONE NONE NONE NONE LAURIC A C I D ACETIC A C I D PHENOL m-CRESOL P H E N O L ( 3 0 % ) PHENOL (90%) T a b l e IEven t h e c l e a n samples show a s t r o n g l y asymrne- t r i c b a r r i e r . I n c o n j u n c t i o n w i t h e v i d e n c e from t h e d e r i v a t i v e of t h e conductance and c a p a c i t a n c e mea- surements we a t t r i b u t e t h e asymmetry t o a concen- t r a t i o n g r a d i e n t of f r a c t i o n a l l y charged n e g a t i v e hydroxyl s p e c i e s i n c o r p o r a t e d w i t h i n t h e b a r r i e r du- r i n g i t s growth.
F i g . 2 : Measured ( s o l i d l i n e ) and f i t t e d (open cir- c l e s ) conductances of A1-I-Pb j u n c t i o n doped t o sa- t u r a t i o n w i t h l a u r i c a c i d (no = 62.2 ohms). Dashed l i n e shows asynnnetry of measured conductance.
/ I / F i s h e r , J . C . and G i a e v e r , I., J. Appl. Phys.
32
(1961) 172./ 2 / Holm, R , , J. Appl. Phys.
2
(1951) 569. / 3 / Rowell, J . M . , Tunneling Phenomena i n S o l i d s(New York : Plenum) 1969.
/ 4 / Brinkman, W.F., Dynes, R.C. and Rowell, J.M., J. Appl. Phys.
9
(1970) 1915.151 Walmsley, D.G., McMorris, I.W.N. and Brown, N. M.D., S o l i d S t a t e Comun.
Ifi
(1975) 663.This work was s u p p o r t e d by t h e Science Rese-ar- ch Council and a S t u d e n t s h i p (RBF) from t h e Nor-