Generalized phonon-connected relations in the Hall resistivity of cadmium

Journal Article · Sat Nov 15 04:00:00 EST 1975 · Phys. Rev., B, v. 12, no. 10, pp. 4247-4254

DOI:https://doi.org/10.1103/PhysRevB.12.4247· OSTI ID:4130924

Gerritsen, A N

An analysis of Hall resistivity data for Cd and Cd-alloy crystals previously published by Lilly and Gerritsen has led to the following, rather unexpected results. The coefficient (A$sub 1$) of the term in first order in H, the magnetic field parallel to the hexagonal axis, varies as A$sub 1$$alpha$rho$sub 11$$sup -1$$e$$sup -431$/sup T/ in the temperature range 8 < or = T > or = 200$sup 0$K (rho$sub 11$ is the resistivity parallel to <1120>). The difference between the measured Hall resistivity and A$sub 1$H passes zero for all samples at T approx. = 11 K. This temperature can be connected to the onset of strong, specific phonon modes. A further relation, that may have less physical significance is that in the temperature range 10 < T < 20 K, where the Hall resistivity passes through a maximum, the field H/sub m/ at the maximum varies as H/sub m/sup$alpha$/P/sub m//sup -1/e/$sup -109$/sup Tm/. The temperature 109$sup 0$K compares to the temperature THETA/sub R/ = 112$sup 0$K that has to be used in the Bloch-Gruneisen relation to describe rho$sub 11$ (T) for temperature above approx. =8 K. (AIP)

• Research Organization: Physics Department, Purdue University, West Lafayette, Indiana 47907
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-009860
• OSTI ID: 4130924
• Journal Information: Phys. Rev., B, v. 12, no. 10, pp. 4247-4254, Journal Name: Phys. Rev., B, v. 12, no. 10, pp. 4247-4254; ISSN PLRBA
• Country of Publication: United States
• Language: English

Related Subjects

*CADMIUM-- HALL EFFECT
360104* --Materials--Metals &amp; Alloys--Physical Properties
CRYSTALS
N50230* --Metals
Ceramics
&amp; Other Materials--Metals &amp; Alloys--Properties
Structure &amp; Phase Studies
PHONONS
TEMPERATURE DEPENDENCE
ULTRALOW TEMPERATURE
VERY LOW TEMPERATURE