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We use a maximum entropy technique to obtain the electron-boson spectraldensity from optical scattering rate data across the underdoped region of theBi_2Sr_{2-x}La_xCuO_6 (Bi-2201) phase diagram. Our method involves ageneralization of previous work which explicitly include finite temperature andthe opening of a pseudogap which modifies the electronic structure. We findthat the mass enhancement factor \lambda associated with the electron-bosonspectral density increases monotonically with reduced doping and closerproximity to the Mott antiferromagnetic insulating state. This observation isconsistent with increased coupling to the spin fluctuations. At the same timethe system has reduced metallicity because of increased pseudogap effects whichwe model with a reduced effective density of states around the Fermi energywith the range of the modifications in energy set by the pseudogap scale.

Evolution of electron-boson spectral density in the underdoped region of Bi_2Sr_{2-x}La_xCuO_6