Graphene, a single layer of carbon atoms arranged in a hexagonal lattice, has already demonstrated its unique properties in the world of physics. The massless movement of electrons through graphene opens up possibilities for advanced electronic devices with capabilities surpassing traditional silicon-based technology. However, when multiple layers of graphene are stacked and twisted, even more bizarre phenomena emerge.

Moiré Patterns and Exotic Physics

When two sheets of graphene with repeating patterns are overlaid and rotated, a moiré pattern is formed, drastically altering the material’s properties. At specific twisted angles, the bilayer graphene can exhibit characteristics of a correlated insulator and even superconductivity by adjusting the electron count. The discovery of these unusual properties has garnered attention from physicists worldwide.

Enhanced Exotic Physics with Magnetic Fields

RIKEN physicists, led by Ching-Kai Chiu and Congcong Le from the RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), have delved deeper into the realm of twisted bilayer graphene. By introducing a spatially varying magnetic field, they have uncovered a new dimension to the exotic physics playground. Their findings, published in Physical Review Letters, shed light on the enhanced capabilities of graphene in the presence of magnetic fields.

The unique band structure of graphene leads to its special electronic properties, such as the linear relationship between an electron’s energy and momentum at specific points. Twisting two layers of graphene at an angle creates flat bands in certain ‘magic’ twist angles, where electron interactions dominate due to minimized kinetic energy. These flat bands are two-fold degenerate, meaning two distinct quantum states share the same energy level.

Chiu and his team demonstrated mathematically that introducing a spatially alternating magnetic field results in quadruply degenerate flat bands at additional magic angles. This higher degeneracy opens up the possibility of observing more correlated phenomena in twisted bilayer graphene. The magnetic phase provides a unique parameter to manipulate the electronic band structure, offering a new avenue for exploration in the field of physics.

The quest is now on to identify other materials that exhibit similar properties to twisted bilayer graphene. The search for new platforms hosting flat bands and enhanced exotic physics continues as researchers aim to push the boundaries of what is known in the physics community. Chiu emphasizes the systematic exploration of materials with flat bands to unlock unprecedented phenomena and advance our understanding of correlated electrons in condensed matter systems.

Physics

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