This link can be helpful:

https://www.quora.com/Why-are-carbon-nanotubes-used-in-paper-batteries

Thanks @Md. Aminul Islam sir.

Kajal Panda ,

There are so many reasons why CNTs are used for these applications. The first that come to mind are the high specific surface area and the ability to functionalise their surface through a variety of chemical groups.

See the introduction for the following article for some other reasons:

Article Flotation Assembly of Large-Area Ultrathin MWCNT Nanofilms f...

Carbon Nano Tubes (CNT) are used because they are one of the most conductive substances on the planet. CNTs are used most often as current collectors in ionic battery structures like Li-ion. When using ions, you want as much electron mobility as possible in your current collector materials. Many common commercial batteries use a carbon or graphite core. CNTs are simply turbocharged versions of graphite. Metals and semi-metals like graphite, graphene and CNTs provide oceans of free electrons to exchange with the ionic materials used to store the electrical energy that is pumped into it.

CNTs are relatively difficult to make. However, their cousin, graphene, is much easier to make. So easy, you can make it at home using a 9v power supply, a contractors pencil from Home Depot, almost any electrolyte and a few bits of copper wire.

This will give you enough graphene for you to make and test your own paper batteries or super capacitors. It’s astonishingly easy to make batteries with this method. You won’t get great batteries from this experiment, but you will get darned good ones, and you’ll have a better understanding of how batteries are made and work.

For more information, try some of these sources:

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Originally Answered: Why are carbon nanotubes used in paper batteries?

I'm assuming that you're referring to the Stanford batteries from around 2009, and the answer is simply that they need something to carry the current, and carbon nanotubes are very good conductors. The reason they don't use metal, is mainly an issue of weight.

The carbon nanotubes bond strongly to the paper, so they don't need an adhesive, and are very light compared to metals of similar conductivity. @Kajal Panda

Thanks@ Debasis

1. excellent mechanical properties；2. high electrical conductivity; 3. high thermal conductivity; 4. adjustable surface properties. 5. large aspect ratio and surface area