HAL Id: jpa-00221156
https://hal.archives-ouvertes.fr/jpa-00221156
Submitted on 1 Jan 1981
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.
TIME-RESOLVED PHONON SPECTROSCOPY OF AMORPHOUS As2S3
U. Strom, P. Klein, K. Weiser, S. Wolf
To cite this version:
U. Strom, P. Klein, K. Weiser, S. Wolf. TIME-RESOLVED PHONON SPECTROSCOPY OF AMORPHOUS As2S3. Journal de Physique Colloques, 1981, 42 (C6), pp.C6-30-C6-32.
�10.1051/jphyscol:1981607�. �jpa-00221156�
JOURNAL DE PHYSIQUE
CoZZoque C6, suppZ6ment au n012, Tome 4 2 , dgcembre 1981 page C6-30
TIME-RESOLVED PHONON SPECTROSCOPY OF AMORPHOUS As2S3
U . Strom, P.B. K l e i n , K. Weiser and S.A. Wolf
NavaZ Research Laboratory, Washington, D.C. 20375, U.S.A.
Abstract.- Phonon p u l s e s which were o p t i c a l l y induced i n t h i n evaporated f i l m s of amorphous A s S3 have been s t u d i e d w i t h a superconducting NbN bolometer. The observed b a l l i s g i c and d i f f u s i v e h e a t p r o p a g a t i o n p r o v i d e s a measure of t h e phonon mean f r e e p a t h (m.f.p.). The r e s u l t s a r e r e l a t e d t o t h e m i c r o s c o p i c s t r u c t u r a l o r d e r of t h e c h a l c o g e n i d e g l a s s a s evidenced from p r e v i o u s o p t i c a l and s t r u c t u r a l s t u d i e s .
The p r e s e n t experiment examines phonons which are induced o p t i c a l l y i n t h i n evaporated f i l m s of t h e c h a l c o g e n i d e g l a s s As2S3. The g l a s s f i l m s a r e d e p o s i t e d on one s i d e of a 1 mm t h i c k s a p p h i r e d i s k . A NbN s u p e r c o n d u c t i n g bolometer1 (1 mm x
1 mm) d e p o s i t e d on t h e o t h e r s i d e of t h e d i s k s e r v e s a s a phonon d e t e c t o r . The time r e s o l u t i o n of t h e e x p e r i m e n t a l system was determined by measuring t h e b a l l i s t i c phonon response induced o p t i c a l l y i n a 2002 t h i c k NbN m e t a l l i c f i l m . The bolometer r e s p o n s e f o r an 8 n s e c i n c i d e n t o p t i c a l p u l s e of A = 5796g w i t h - t o t a l energy of 3.5x10-~ j o u l e / p u l s e is shown i n Fig. 1, F u r t h e r d e t a i l s of t h e bolometer can b e found i n Ref. 1.
Fig. 1. Bolometer r e s p o n s e f o r o p t i c a l l y heated
w NbN metal f i l m . Spike n e a r t = O due t o d i r e c t
I bolometer h e a t i n g by p a r t i a l l y t r a n s m i t t e d l a s e r p u l s e . Bolom e r r e s p o n s e time e s t i m a t e d t o b e l e s s t h a n LO-" s e c ( s e e Ref. 1 ) . Delayed p u l s e s 0 50 loo I5O 200 250 r e p r e s e n t b a l l i s t i c TA and LA phonons p r o p a g a t i n g
TIME ( 1 0 - ~ s e c ) through 1 mm t h i c k s a p p h i r e .
The bolometer r e s p o n s e f o r a photo-excited AszS3 f i l m of t h i c k n e s s d-1.8 pm is shown i n Figs. 2 and 3, (Note: t h e f i l m d e p o s i t i o n c o n d i t i o n s were n e a r l y i d e n t i c a l t o t b o s e used i n p r e v i o u s o p t i c a l Z and s t r u c t u r a l s t u d i e s e 3 ) For l i g h t w i t h wave- l e n g t h A = 4882g we f i n d t h a t t h e product of a b s o r p t i o n c o e f f i c i e n t a and f i l m t h i c k - n e s s d is ad-0.7. T h i s v a l u e of a d t y p i f i e s t h e g l a s s a f t e r photodarkening,4*5 i.e. t h e t h e r m a l l y r e v e r s i b l e photo-induced band edge s h i f t which i s on t h e o r d e r of 0.1 eV toward t h e red. None of t h e phonon parameters d i s c u s s e d i n t h i s paper were a f f e c t e d by r e v e r s i b l e photodarkenfng. A s s e e n i n Figs. 2 and 3, h e a t p r o p a g a t i o n i n amorphous As2S3 a t T = 11.5K i s predominantly d i f f u s i v e . The b a l l i s t i c components a t 0.1 and 0 . 2 ~ s e c a r e n o t due t o phonon p r o p a g a t i o n a c r o s s t h e e n t i r e width of t h e
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1981607
Fig. 2. Bolometer r e s p o n s e f o r o p t i c a l l y Fig. 3. Long t i m e b o l o m e t e r r e s p o n s e h e a t e d As S film. B a l l i s t i c p u l s e s as due t o d i f f u s i v e phonon t r a n s p o r t i n i n F i g . 1: 3 ~ e a k a t 0.35 & s e c due t o As2S3.
r e f l e c t i o n from bolometer e l e c t r o d e .
f i l m , b u t a r e due t o phonon g e n e r a t i o n by t h e p a r t i a l l y t r a n s m i t t e d l i g h t i n t h e r e g i o n of t h e g l a s s f i l m c l o s e s t t o t h e s a p p h i r e s u b s t r a t e . The r a t i o of t h e i n t e - g r a t e d b a l l i s t i c t o d i f f u s i v e phonon s i g n a l s y i e l d s t h e phonon m.f.p..i i n amorphous A s p s 3 . The n m b e r of b a l l i s t i c phonona i g - a ~ e - * , w h e r e a s t h e number o f d i f f u s i v e phonons is g i v e n by ID
-
1-e a(d-A). S i n c e .Z<<d we o b t a i n t o a v e r y good approxima- t i o n f o r t h e r a t i o of b a l l i s t i c t o d i f f u s i v e phonon p r o d u c t i o n R z I B D /I = c r . ~ ( e ~ ~ - l ) . We have measured R and a f o r l a s e r w a v e l e n g t h s X from 47712 t o 50402. The v a l u e s of a d ranged from a d = 1.29 a t A = 47712 t o a d = 0.26 a t A = 50402. The v a l u e s of ,i o b t a i n e d w i t h t h e s e r e s u l t s were A =140?302 ( f o r d = 1.8 prn). I n a n a l t e r n a t e g e o m e t r y , l i g h t was i n c i d e n t t h r o u g h t h e s e m i t r a n s p a r e n t b o l o m e t e r . For X=400025 1
l i g h t , a
-
1 . 6 ~ 1 0 cm-.
From t h e measured v a l u e of R = 0.2 we deduce A %160g. We c o n c l u d e t h a t A is e s s e n t i a l l y i n d e p e n d e n t of e x c i t i n g l i g h t w a v e l e n g t h s between 4000 and 50002. T h i s s u g g e s t s t h a t t h e t h e r m a l i z a t i o n t i m e of t h e m a j o r i t y of t h e o p t i - c a l l y e x c i t e d e l e c t r o n h o l e p a i r s is f a s t e r t h a n t h e p r e s e n t lo-' s e c t i m e r e s o l u t i o n .I n Fig. 4 v a r i o u s measurements of A f o r g l a s s y As S and S i 0 2 a r e compared. The 2 3
l o w e r two c u r v e s r e p r e s e n t A ( T ) = ~ K / C V ~ , where t h e thermal c o n d u c t i v i t y K , s p e c i f i c h e a t C and Debye sound v e l o c i t y vD we o b t a i n e d from low t e m p e r a t u r e t h e r m a l measure- m e n t ~ . ~ ' ~ The upper c u r v e i n Fig. 4 i s t h e phonon m,f,p, a t T-lK a s a f u n c t i o n of phonon f r e q u e n c y fg, measured f o r S i 0 2 b y D i e t s c h e and IZinder8 u s i n g monochromatic phonon g e n e r a t i o n t e c h n i q u e s . Temperature and f r e q u e n c y s c a l e s a r e r e l a t e d by hf =
D 3kT. A s s e e n i n Fig. 4, A o b t a i n e d from t h e r m a l measurements i s g e n e r a l l y s m a l l e r by a f a c t o r of 3-5 t h a n A o b t a i n e d w i t h t h e o t h e r two methods shown i n Fig. 4. The c a u s e f o r t h i s d i f f e r e n c e c a n n o t be a d d r e s s e d h e r e . We w i l l r a t h e r s p e c u l a t e on t h e n a t u r e of t h e s c a t t e r i n g which g i v e s rise t o t h e ~ - f - ~ " f r e q u e n c y dependence observed between fD=lOO and 300 GHz i n S i 0 2 , w i t h which o u r r e s u l t i n As2S3 a t 11.5K, o r a t t h e e q u i v a l e n t phonon e n e r g y of -700 GHz, i s c o n s i s t e n t .
The s t r o n g f r e q u e n c y dependent s c a t t e r i n g above fD-100 GHz h a s been a t t r i b u t e d v a r i o u s l y t o s t r u c t u r a l i r r e g u l a r i t i e s , phonons, lo o r t u n n e l i n g modes.' None o f
JOURNAL DE PHYSIQUE
f, ( GHz) Fig. 4. Phonon mean f r e e p a t h i n g l a s s y Si02, 100 loo0 As S and an e v a p o r a t e d As S
2 3 f i l m .
1
t h e s e can be c o m p l e t e l y excluded. The importance E of c o n s i d e r i n g t h e l o c a l g l a s s s t r u c t u r e i s
U s t r e s s e d h e r e . There e x i s t s c o n s i d e r a b l e evidence lo-' f o r remnants of " c r y s t a l - l i k e " o r medium-range
o r d e r i n t h e g l a s s . S p e c i f i c e v i d e n c e f o r medium- range o r d e r i n As2S3 was o b t a i n e d from two-phonon v i b r a t i o n a l l o and n u c l e a r quadrupole resonance s t u d i e s . l 1 * l 2 A d d i t i o n a l i n f o r m a t i o n comes from f a r i n f r a r e d a b s o r p t i o n measurements i n g l a s s e s , 1 3 where c o r r e l a t i o n l e n g t h s e-102 f o r As2S3 and -2012 lo-7. f o r S i 0 2 c a n be d e f i n e d . Such c o r r e l a t i o n l e n g t h s
1 2 5 10 20 r e p r e s e n t a n average s p a c i n g between s t a t i c o r TEMPERATURE ( K dynamic c h a r g e s i n t h e g l a s s and can be a d i r e c t consequence of medium-range o r d e r . R e c e n t l y p h i l l i p s 1 4 h a s f u r t h e r advanced t h e con- c e p t of medium-range o r d e r w i t h s p e c i f i c t o p o l o g i c a l p r o p o s a l s , Ribbon-like poly- m e r i c s t r u c t u r e s ( r a f t s ) proposed f o r As2S3 do indeed e x h i b i t a dominant width of
-102 which is comparable t o l2. Phonon s c a t t e r i n g would d e v i a t e from Rayleigh-type s c a t t e r i n g 1 5 ( - i 4 f o r s p h e r e s ) f o r phonon f r e q u e n c i e s f 2 vD/2r(. For 1=1012 and vD=1.7 x l ~ ~ c m / s e c - ~ t h i s y i e l d s f ,300 GHz. More d e t a i l e d e s t i m a t e s w i l l be compli- c a t e d by i n e l a s t i c p r o c e s s e s 8 a s w e l l a s t h e high a n i s o t r o p y of t h e s c a t t e r i n g s t r u c - t u r e s .
1. Weiser, K., Strom, U., Wolf, S. A. and Gubser, D. U., J. Appl. Phys. 52, 4888 (1981).
2. Strom, U. and M a r t i n , T.P., S o l i d S t a t e Commun.
9,
527 (1979).3. Treacy, D, J., Strom, U., K l e i n , P. B., T a y l o r , P. C. and M a r t i n , T. P., 3. Non- c r y s t . Sol. 35+36, 1035 (1980).
4. Keneman, S. A., Bordogna, J . and Zemel, J. N., J . Opt. Soc. Am. 68, 32 (1978).
5. Tanaka, K., J. Noncryst. S o l . ? 5 + 3 6 , 1023 (1980).
6. Z e l l e r , R. C. and P o h l , R. 0.. Phys. Rev. E, 2029 (1971).
7. Stephens, R. B., Phys. Rev. B
5,
2896 (1973).8 . D i e t s c h e , W. and Kinder, H., Phys. Rev. L e t t . 43, 1413 (1979).
9. Z a i t l i n , M. P. and Anderson, A.C., Phys. Rev. B
12,
4475 (1975).10. Jones, D. P., Thomas, N. and P h i l l i p s , W. A., P h i l . Mag. B g , 271 (1978).
11. K l e i n , P. B., T a y l o r , P. C. and Treacy, D. J., Phys. Rev. B
2,
4511 (1977).12. R u b i n s t e i n , M. and T a y l o r , P. C., Phys. Rev. B
10,
4258 (1974).13. Strom, U. and T a y l o r , P. C., Phys. Rev. B
2,
5512 (1977).14. P h i l l i p s , J . C., J . Noncryst. Sol.
63,
37 (1981).15. Handbook of P h y s i c s , ed. E.U. Condon and H. Odishaw, McGraw-Hill, 1958, 6-124.