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Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics

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Probing superconductivity in the 2D limit using resistivity noise<br />

R.Koushik 1 , Mintu Mondal 2 , John Jesudasan 2 , Pratap Raychaudhuri 2 , Aveek Bid 1 and Arindam Ghosh 1<br />

1<br />

Department <strong>of</strong> <strong>Physics</strong>, Indian Institute <strong>of</strong> Science, Bangalore 560012, India<br />

2<br />

Tata Institute <strong>of</strong> Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India<br />

Superconductivity in low dimensions has invoked lot <strong>of</strong> interest in recent times with the advent <strong>of</strong> new materials<br />

like topological superconductors, electron gas at oxide interface etc. In 2D, the superconducting transition is<br />

known to occur via Berezenskii Kosterlitz Thouless (BKT) phase transition. Conventional techniques like<br />

resistivity measurements, superfluid density measurements, IV characteristics are generally used to study the<br />

nature <strong>of</strong> transition (BKT or BCS). But their sensitivity is limited as inhomogeneity can smear out signatures <strong>of</strong><br />

BKT transition.<br />

In this work, we use the higher order statistics <strong>of</strong> resistivity fluctuations to address the nature <strong>of</strong> superconducting<br />

transition in ultra thin films <strong>of</strong> Niobium Nitride. Our technique involves detecting non-Gaussian component (NGC)<br />

in fluctuations which are sensitive to long- range correlations in the system. The measure <strong>of</strong> NGC is given by<br />

second spectrum (equivalent to kurtosis). We find strong non-Gaussian fluctuations closer to the transition<br />

temperature (T KT) in films exhibiting BKT transition which monotonically decrease with increase in temperature<br />

and reduces to background level as the mean field temperature is approached (T BCS). The NGC is completely<br />

absent in bulk films. We attribute the NGC to the presence <strong>of</strong> long-range interaction between vortices which<br />

naturally occur in a BKT transition whereas the Ginzburg Landau (GL) fluctuations occuring in bulk films are<br />

Gaussian in nature.<br />

Our experiments underline a new method to identify the characteristic temperature scales <strong>of</strong> phase fluctuations<br />

in the superconducting state, that can be useful to probe other low dimensional superconductors as well.<br />

Key words: Non Gaussian, Kosterlitz-Thouless transition<br />

References<br />

1. R. Koushik et al., (under preparation)<br />

2. Mintu Mondal et al., Phys. Rev. Lett 107, 217003 (2011)

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