1. One a time, wrap each chicken fillet in plastic wrap and flatten it with a mallet so that the thickness is uniform throughout the fillet -- about 1/2-inch thick. Marinate the flattened chicken fillets in the teriyaki marinade in a shallow bowl for at least 1 hour.

2. Preheat a clean barbecue to medium grilling heat.

3. Prepare the sauce in a small bowl by mixing the mayonnaise with the paprika, cayenne pepper, curry powder, and salt. 

4. Grill the chicken for 5 to 8 minutes per side, or until done.

5. Brown the faces of each bun in a hot frying pan.

6. Spread a tablespoon of sauce on the faces of each bun, top and bottom.

7. On each bottom bun place a lettuce leaf, then a green chili pepper. You want the pepper to be spread over most of the lettuce. To do this, slice the pepper down the middle and spread it open so that it covers more territory. When sliced open like this, some peppers are big enough for 2 sandwiches. 

8. Place one chicken fillet on each of the sandwiches, on top of the chile pepper.

9. Place a slice of American cheese on the chicken.

10. Top it all off with the top bun.

Makes 4 sandwiches.