To determine which it actually is, the semiconductor is immersed in the magnetic field transverse to the direction of flow of current. 2. The effect was discovered by E.H. Hall in 1879. a) Bestimmen Sie die Hallkonstante R H von Germanium und begründen sie, dass Elektronen den Ladungstransport bewerkstelligen. 4 There is also a fractional quantum Hall effect. It is related to the Hall eld by: V H = Z w 0 E ydy= E yw (11) 2. from Hall Effect measurements, which are a basic tool for the determination of mobilities. 1b). The Hall Eﬀect 1 Background In this experiment, the Hall Eﬀect will be used to study some of the physics of charge transport in metal and semiconductor samples. experiment. Constant magnetic ﬁeld and temperature and varying control current. ist der Hall-Effekt deutlich stärker ausgeprägt. 4, with a magnetic field H in the z direction perpendicular to contacts 1, 2 and 3, 4. EXPERIMENT 20 The Hall Effect Note: Please read the Radiation Safety Regulations at the back of this book Objectives of the Experiment The behaviour of the Hall voltage in a sample of doped germanium is studied in three different set-ups as follows: 1. 1a) or as a positive charge moving in the opposite direction (Fig. Das Plättchen hat die Breite b = 1,2cm und die Dicke d = 1,0mm. From equations (5), (7) and (8), we obtain: E y= eB˝ m E x (12) A convenient experimental quantity is the Hall coe cient, R H de ned as: R H = E y J xB = eB˝E x m m ne2˝E xB = 1 ne (13) The Hall coe cient is positive if the charge carriers are positive and negative if the charge carriers are negative. In this lab we will only be concerned with the Hall coefficient. The Hall Effect experiment determines the sign of the charge carriers in current flow. Bei einer magnetischen Flussdichte von 106 mT und einer Stromstärke von 30mA misst man eine Hallspannung von – 20,6 mV. famous Quantum Hall Effect4. Consider a simple crystal mounted as in the Fig. The fundamental quantum of Hall resistance is h/e2 =25,813Ω. A current can be thought of as a negative charge moving in one direction (Fig.
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