Thoroughly wash the leeks and slice them into thin rings. Peel and mince the garlic. Peel and dice the potatoes.
In a saucepan, melt the butter over medium heat. Add the leeks and garlic and sauté for 5-6 minutes, or until softened and slightly caramelized.
Add the diced potatoes and pour in the vegetable broth. Stir to combine and bring to a boil.
Reduce the heat and simmer the soup for about 15-20 minutes, or until the potatoes are completely tender.
Use an immersion blender to purée the soup until smooth. Stir in the heavy cream and grated cheese until the cheese is completely melted.
Season with salt, pepper, and a pinch of nutmeg. Mix well and cook for another 2-3 minutes to allow the flavors to meld.
Serve hot, garnished with toasted bread cubes and optionally with extra grated cheese on top.
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