nature.com/articles/s41567-024-02551-8

Topological materials hosting metallic edges characterized by integer-quantized conductivity in an insulating bulk have revolutionized our understanding of transport in matter. The topological protection of these edge states is based on symmetries and dimensionality. While integer-dimensional effects on topological properties have been studied extensively, the interplay of topology and fractals, which may have a non-integer dimension, remains largely unexplored. Here we demonstrate that topological edge and corner modes arise in fractals formed upon depositing thin layers of bismuth on an indium antimonide substrate. Our scanning tunnelling microscopy results and theoretical calculations reveal the appearance and stability of nearly zero-energy modes at the corners of Sierpiński triangles, as well as the formation of outer and inner edge modes at higher energies. This work opens the perspective to extend electronic device applications in real materials at non-integer dimensions with robust and protected topological states.

This is amazing

How do you achieve a non-integer dimension? Well, in this case, they used fractal design (endless, inlaid, repeating patterns) to do this. They had an indium interior and a bismuth exterior.

phys.org/news/2024-07-chip-energy-loss-dimensions.html

Article breaking down background and application in more layman terms

math.bu.edu/DYSYS/chaos-game/node6.html

Math behind fractal / non-integer (whole number) dimensions

Not going to pretend like I know what this means but it sounds cool

Basically we used weird physical properties and semiconductors to reduce the loss that comes from energy transfer

When you use a power cord, some of that electrical energy can be converted to heat rather than going from cord to appliance. This is a loss of energy

Using these discoveries, we can hypothetically eliminate energy loss in these forms of electrical transfer as we find real-life applications. This saves a massive amount of energy output in our current world

This got something to do with Ohm's Law? or Einstein doing LSD? I read up that statistic somewhere

Unironically, this can hypothetically erase the R in Ohms Law

That's wild

Big if true

so like a superconductor ?

Yes, but it can work at room temp

Is it related to this thing from last year that ended up being a dud?

ktt2.com/super-conductors-32554596

Zero-loss Superconductors at room temperature were mostly mathematical models at that point

This is a real deal material construction of one

Just a reminder that this is a set of discoveries in physics, not technology. That will come years, if not decades, down the line

Yes please

They could never make me hate you china

Triforce IRL

Yeah, the theory behind them are somewhat similar

Superconductors allows for a current to flow with zero resistance through the whole thing

While topological insulators allows for a current to follow with zero resistance on the surface/edges of the material while the inner material is still an insulator I believe

I do think a superconductor has more practical applications tho. But the team in the research are looking to see if they can use a similar procedure in making topological insulators to make a superconductor

Nice. World is gonna fix itself through these kind of advancements. It’s the only and best solution

Reminds me of steins gate, sounds cool

We back