The ac Hall effect in high- superconductors

Abstract

Far-infrared magnetotransmission measurements of normal-state thin films are discussed. The magneto-optical signals observed in circularly polarized light are consistent with the ac Hall effect of holes with a reduced scattering rate and an enhanced mass compared to the zero-field transport parameters. The results agree with a simple high-frequency extension of models which have been developed to explain the anomalous dc Hall effect in the normal state of high- superconductors in terms of two scattering rates. The Hall scattering rate , where and K. These experiments provide new tests of the Fermi-liquid versus non-Fermi-liquid nature of these materials.

Hall effect in the marginal Fermi liquid regime ofhigh−Tcsuperconductors

“…6,7,8,9,10,11 Further, we generalize our results to the complex Hall angle at finite frequencies which has been recently measured.…”

“…(1) can be used in a Boltzmann equation analysis to account for observed anomalies 6,7,8,9,10,11 in the Hall effect. We performed a calculation (page 4655 of Ref.…”

Measurement of the infrared magneto-optic properties of thin-film metals and high temperature superconductors

“…8, 9, and 18͒ with those on Au and Cu films. 2,7 Surprisingly, the Hall angle results for both materials are qualitatively similar, and are well parametrized by the Drude form for H . For both systems, the scattering rate ␥ H associated with the Hall angle is linear in temperature and independent of frequency.…”

Infrared Hall Effect in High-TcSuperconductors: Evidence for Non-Fermi-Liquid Hall Scattering

“…In general tanu H , the ratio of two response functions, is a complicated function which does not have a simple closed form. The simplest generalization of cotu H to finite frequency v is [14,18] …”

“…s xy is not consistent with a Drude model containing a temperature dependent carrier scattering rate. Also, the weak frequency dependence of Re(s xy ) and the fact that Im(s xy ) is not small compared with Re(s xy ) indicate that by 1000 cm 21 the system is not yet in the asymptotic ͑v ¿ g͒ regime where s xy~͑ 21͞v 2 1 2ig͞v 3 ͒, where g is a momentum space average of the scattering rate [14,18]. We also have examined the complex Hall angle and the Hall coefficient which, unlike s xy , are complicated by the Cu-O chains in YBa 2 Cu 3 O 7 .…”