Pat steaks dry and season both sides generously with salt, pepper, dried thyme, and rosemary.
Heat olive oil in a skillet over medium-high heat until shimmering.
Sear steaks for 3-4 minutes on each side until golden-brown crust forms but steak remains medium-rare.
Remove steaks from pan and let rest.
Reduce skillet heat to medium, add butter and minced garlic, stir until butter melts and garlic is fragrant, about 1-2 minutes, then remove from heat.
Peel and thinly slice russet potatoes about 1/8 inch thick.
In a large mixing bowl, toss potato slices with half of the garlic butter mixture, salt, pepper, and a sprinkle of thyme and rosemary.
Slice rested steaks into thin strips or bite-sized pieces.
In baking dish, layer half of the potatoes evenly.
Spread steak pieces over the potatoes, then sprinkle half of the shredded cheddar cheese on top.
Add remaining potato slices over the steak, drizzle remaining garlic butter, and top with remaining cheddar cheese.
Cover baking dish with aluminum foil and bake in preheated oven at 375°F (190°C) for 40 minutes.
Remove foil and bake for an additional 15 minutes until cheese is bubbly and golden and potatoes are tender.
Let bake rest for 5-10 minutes before serving to allow flavors to meld and dish to set.