I am working in the electrode with doping de de-doping efficiency with ion concentration inside it. I would like to analyze the interaction of the electrode with electrolyte under the application of the external potential.
It depends on the level. If you want to know electrochemistry at a high level, then I can recommend Bagotsky book: Fundamentals of Electrochemistry (2006 John Wiley & Sons, Inc., DOI: 10.1002/047174199X). If you just start, then listen to your professor's lectures and read the books they are recommended...
I agree with Leta, to me the best book in fundamental electrochemistry is the one by Bard and Faulkner " Electrochemical Methods: Fundamentals and Applications".
Also good, in more practical issues is this of Heineman and Kissinger: "Laboratory Techniques in Electroanalytical Chemistry".
Understanding Cyclic Voltammetry by R. G. Compton gives a good introduction to the basics of electrochemistry and can be used as a textbook. Bard is more as a reference manual for experienced electrochemist
Bard and Faulkner (Electrochemical Methods: http://amzn.to/2DedUGm) is great for broad swath of echem, is a very useful test for equations, and is the standby (i.e. if you're only getting one).
I really like Bockris and Reddy (Modern Electrochemistry: http://amzn.to/2oVKQ2i) for understanding of the electrode-electrolyte interface.
and Kissinger and Heineman (Laboratory Techniques in Electroanalytical Chemistry: http://amzn.to/2FpyfOU) is a solid reference for practical/lab electroanalytical techniques.
EIS interested parties should probably look at Orazem and Tribollet's text of the same name (http://amzn.to/2FpcYF9).
Corrosion researchers can grab Jones' Principles and Prevention of Corrosion (http://amzn.to/2oXHHip)
In agreement with other colleagues, i am an electronic engineers who worked on electrochemical devices and found this book is well written as a text book:
Modern Electrochemistry 2ed 2002 Vol 2a Fundamentals Of Electrodics Bockris, Reddy & Gamboa Ald