We report on the influence of a gate voltage on the Hall constant [electric
field effect Hall constant (EFE-HC)] in a quantum-sized Bi film. The depen
dence of EFE-HC on the applied electric field, film thickness, and temperat
ure was measured. The electric field effect induces a change of several ten
s of percent in the Hall constant under an applied electric field of 10(8)
V/m. The effect depends on the film thickness in an oscillatory manner simi
lar to that observed in other quantum-size characteristics. We present an i
nterpretation of the known temperature maximum of HC in quantum size Bi fil
ms in absence of EFE, by considering the temperature dependence of the elec
tron and hole mobilities. (C) 2000 American Institute of Physics. [S0021-89
79(00)02718-3].