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in a small saute pan, over high heat, saute the shallots in the butter until soft, about 5 minutes.
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divide the meat into 4 portions.
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shape the portions into 4 1/2 to 5-inch round patties, 1/4-inch thick.
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season each with salt, pepper and 1/2 teaspoon of the shallots.
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toast the hamburger buns.
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lightly dust the surface of a large, hot saute pan, with salt.
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when the pan is very hot, but not smoking, lay a patty in the pan.
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rapidly add a second burger.
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brown the meat, until blood shows on the top, about 2 minutes.
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turn patties to other side and top with cheese.
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cook until done, about 1-2 minutes more.
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remove cooked burgers to a warm platter.
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repeat process with 2 remaining burgers.
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place finished burgers onto buns add condiments.