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ON MOBILITY OF SURFACE ELECTRONS IN LIQUID HELIUM AT TEMPERATURES UP TO 20 mK

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HAL Id: jpa-00217561

https://hal.archives-ouvertes.fr/jpa-00217561

Submitted on 1 Jan 1978

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ON MOBILITY OF SURFACE ELECTRONS IN

LIQUID HELIUM AT TEMPERATURES UP TO 20

mK

B. Eselson, A. Rybalko, Yu. Kovdrya, A. Golub, S. Sokolov

To cite this version:

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JOURNAL DE PHYSIQUE Colloque C6, suppl6ment au no 8, Tome 39, aoiit 1978, page C6-338

ON MOBILITY OF SURFACE ELECTRONS I N L I Q U I D HELIUM AT TEMPERATURES UP TO 20 mK B.N.Eselson, A.S.Rybalko, Yu.Z.Kovdrya, A.A. Golub and S.S.Sokolov

Physico-Technical I n s t i t u t e of Lou Temperatures, UkrSSR Academy of Sciences, 47, Lenin Prospect, Kharkov, 310164, USSR

RdsumC.- On a mesurd la mobilitd Clectronique sur la surface de l'hslium liquide 2 des temperatures de 20 mK 1 1 K. On a ddterminC la mobilitd des dlectrons superficiels au moyen de l'absorption d'd- nergie du champ 6lectromagndtique. Les auteurs ont constat6 que dans cette gamme de tempdrature la ddpendance de la mobilitd dlectronique en fonction de la temperature est voisine de T-l.

Abstract.- The mobility of electrons across the liquid helium surface has been measured in the tem- perature range of 20 mK-1 K. The mobility of surface electrons is estimated by the electromagnetic energy absorption. It has been found that in the temperature range studied, the temperature depen- dence of the electron mobility is close to T-'.

The mobility of surface electrons is one of their most important features. By the theorical concepts available, the motion of electrons at ra-

ther low temperatures is due to their interaction with thermal excitations of the liquid helium surfa-

ce (ripplons). The mobility, p, can be measured by various experimental techniques /1,2,3/. To deter- mine the mobility, p, we measured the electromagne-

tic energy absorption by surfaceelectrons. The ab- sorption was determined by the value of loss in the measuring resonance circuit.

The relation between the mobility of charged particles and the power P absorbed is given by the expression /I/ :

P = e N p ~ ~

where N is a number of charges per unit area, e the electron charge, and E the a.c. amplitude.

The concentration of surface electrons was given by the holding electric field and was

lo5-

10' el/cm2. The experiments were performed at the frequencies of 12 and 25 Mc. The value of absorp- tion was estimated to an accuracy of 'L 30%.

The measurements were made in the temperature range of 2x10-'

-

I K, a continuous-circulation di- lution refrigerator /4/ being used to obtain tempe-

ratures down to 20 mK.

The experimental results indicated that in the temperature range studied the temperature depen- dence of the electron mobility is essentially given by p ' ~ T-'. The results for T > 0.3 K are in satis- factory agreement with the theory 151 describing the ripplon scattering of electrons. At lower tem-

peratures a comparison between the experimental de- pendence p(T) an the theory becomes difficult b e

cause in this temperature range for the electron concentration studied the energy of the charge Coulomb interaction becomes larger than the thermal

energy of particles.

References

/1/ Rybalko, A.S.,Kovdrya,Yu.Z. and Eselson,B.N., Pisma v ZhETF

2

( 1 975) 569.

/2/ Grimes,C.C. and Adams,G., Phys.Rev.Lett.

36

(1976) 145.

131 Edelman,V.S., Pisma v ZhETF

2

(1976) 510 /4/ Babiichuk,V.P.,Golub,A.A., Medyanik,A.N. and Serbin, I.A., Fiz.kondens.sost.Trudy Ftint an UkrSSR, XXX (1974) 134.

/5/ Monarkha,Yu.P., Fiz.nizk.temp.

2

(1976) 1232.

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