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We have studied low frequency resistance fluctuations (noise) in a singlecrystal of the rare earth perovskite manganite Pr$_{0.63}$Ca$_{0.37}$MnO$_3$which shows a charge ordering transition at a temperature $T_{CO}$ ~ 245K. Thenoise measurements were made using an ac bias with and without a dc biascurrent imposed on it. We find that the spectral power $S_V(f)$ contains twocomponents - one broad band 1/f part that exists for all frequency andtemperature ranges and a single frequency Lorentzian of frequency $f_c$ whichis strongly temperature dependent. The Lorentzian in $S_V(f)$ which appears dueto Random telegraphic noise (RTN) as seen in the time series of thefluctuation, is seen in a very narrow temperature window around $T_{CO}$ whereit makes the dominating contribution to the fluctuation. When the applied dcbias is increased beyond a certain threshold current density $J_{th}$, theelectrical conduction becomes non-linear and one sees appearance of asignificant Lorentzian contribution in the spectral power due to RTN. Weexplain the appearance of the RTN as due to coexisting Charge ordered (CO) andreverse orbitally ordered (ROO) phases which are in dynamical equilibrium overa mesoscopic length scale ($\approx 30nm$) and the kinetics being controlled byan activation barrier $E_{a} ~ 0.45eV. The 1/f noise is low for $T>>T_{CO}$ butincreases by nearly two orders in a narrow temperature range as $T_{CO}$ isapproached from above and the probability distribution function (PDF) deviatesstrongly from a Gaussian. We explain this behavior as due to approach of chargelocalization with correlated fluctuators which make the PDF non-Gaussian.Comment: 23 pages, 14 figure

physical review. b, condensed matter

Low-frequency random telegraphic noise and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>f</mml:mi></mml:math>noise in the rare-earth manganite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Pr</mml:mi></mml:mrow><mml:mrow><mml:mn>0.63</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ca</mml…

Low-frequency random telegraphic noise and1/fnoise in the rare-earth manganitePr0.63Ca