This is from the Atkins Wesite:

It is natural to go through periodic phases of shedding hair. But if this is an ongoing problem, make sure you're not restricting calories or skipping meals. Any weight-loss regimen may lower your metabolic rate, which can result in hair loss. Unlike calorie-restricted diets, Atkins is the least likely of any weight-loss program to contribute to hair loss because the higher caloric content keeps the body from behaving as though it is in a starvation mode. When that happens, your metabolism is lowered as a survival mechanism.

Alternatively, you might be low in some specific nutrients that could affect your hair loss. You might try adding biotin, N-acetyl-cysteine (NAC), glutathione and lecithin to your diet. If excessive hair loss occurs, see your doctor.

Here are some suppliments:

Potassium 50mg
Hair- It is in orange letters and you can find it at walmart.
Nisim- A shampoo that can slow the rate of hairloss until your body adjusts to the change in diet.
SILICA
Biotin-Up to 4000units


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