# Superconductivity in Graphene Induced by the Rotated Layer

## TL;DR

This paper explains how rotating layers in graphene bilayers induces superconductivity by transforming repulsive interactions into attractive ones through modifications in the electronic spinor structure.

## Contribution

It provides a theoretical explanation for superconductivity in rotated graphene bilayers by analyzing the effects of layer rotation on electronic spinors and interactions.

## Key findings

- Rotation modifies spinors, turning repulsive interactions attractive.
- Superconductivity arises at 'magic' angles due to lattice commensuration.
- Theoretical framework explains recent experimental observations.

## Abstract

Recent discoveries in graphene bilayers revealed that when one of the layers is rotated, superconductivity emerges. We provide an explanation for this phenomenon . We find that due to the layer rotations, the spinors are modified in such way that a repulsive interaction, becomes attractive in certain directions. This result is obtained following a sequence of steps: when layer $2$ is rotated by an angle $\theta$ ,this rotation is equivalent to a rotation of an angle $-\theta$ of the linear momentum .Due to the discreet lattice, in layer $1$, the Fourier transform conserves the linear momentum $modulo$ the hexagonal reciprocal lattice vector . In layer $2$, due to the rotation, the linear momentum is conserved $modulo$ the $Moire$ reciprocal lattice vector . Periodicity is achieved at the $magical $ angles obtained from the condition of commensuration of the two lattices. We find that the rotations transform the spinors around the nodal points, such that a repulsive interaction becomes attractive, giving rise to superconductivity.