Although I dont recommend chemicals in this cas I do.
Ortho WeedBGon made by Scotts.
Walmart,Lowes or any garden center
Creeping Charlie
Creeping Charlie is a perennial, evergreen creeper that loves moist, shady areas. Used by the ancient Saxons for brewing beer, it was brought to this country from Europe for medicinal purposes. It's now found all across the country, except in the Rocky Mountain states. It spreads by rhizomes and seeds, and forms thick mats in the lawn. You can control it in the lawn with Ortho® Weed B Gon MAX® Weed Killer for Lawns.
Prevention and Maintenance
Treat Creeping Charlie in your Lawn
You can control Creeping Charlie with Ortho® Weed-B-Gon MAX® Weed Killer for Lawns between fertilizer applications. This can control the weeds while it gives your grass the nutrients it needs to grow thick healthy roots that will choke out new weeds.
Treat Creeping Charlie in Other Areas
You might find patches of Creeping Charlie under trees, in garden plots, and other parts of your yard. In these spots, you can use Ortho® Weed-B-Gon MAX® Weed Killer for Lawns. It's available as a Concentrate for use in a tank sprayer, or Ready-Spray®, which attaches to the end of your hose.
Creeping Charlie Defined
Creeping Charlie is a perennial, evergreen weed in the mint family. A native of Europe, it spreads by seeds and rhizomes. It prefers moist, shady areas, but can tolerate sun.
» Ortho® Weed B Gon MAX® Weed Killer For Lawns Ready-to-Use
This is what it looks like
http://www.lowes.com/lowes/lkn?action=productList&N=4294961544&Ne=4294967294&Ntk=i_products&Ntt=Weed+B+Gon