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Thermal noise as a spectroscopic tool to determine transport properties
Authors:Patrick L Garrity  Kevin L Stokes
Institution:1. Advanced Materials Research Institute, Department of Physics , University of New Orleans Lakefront , New Orleans, LA 70148, USA pgarrity@uno.edu;3. Advanced Materials Research Institute, Department of Physics , University of New Orleans Lakefront , New Orleans, LA 70148, USA
Abstract:The utilization of thermal fluctuations or Johnson/Nyquist noise as a spectroscopic method to determine transport properties in conductors or semiconductors is developed. The autocorrelation function is obtained from power spectral density measurements thus enabling electronic transport property calculation through the Green–Kubo formalism. This experimental approach is distinct from traditional numerical methods such as molecular dynamics simulations, which have been used to extract the autocorrelation function and directly related physics only. This work reports multi-transport property measurements consisting of the electronic relaxation time, resistivity, mobility, diffusion coefficient, electronic contribution to thermal conductivity and Lorenz number from experimental data. Double validation of the experiment was accomplished through the use of a standard reference material and a standard measurement method, i.e. four-probe collinear resistivity technique. Thermal noise measurements resulted in a 1.1 and 5% agreement with the reference material and four-probe values, respectively. Additional measurements were also taken on nanoscale Au and Cu thin films. Specifically, the validated spectroscopic methodology was applied to 30 nm Au and Cu thin films to obtain transport property data that was again compared to four-probe resistivity measurements. Comparative analysis of the resistivity data showed agreement within 13.6 and 4.8% for the Au and Cu samples, respectively, thus lending further credibility to the experimental method and theory.
Keywords:thermal fluctuations  Nyquist noise  autocorrelation function  Green–Kubo theory
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