Phase dependence of optical bistability and multistability in graphene nanostructure under external magnetic field

In this letter, the phase control of optical bistability and multistability in a ring cavity doped with a four-level graphene nanostructure in infrared regions are discussed. Due to the unusual dispersion relation in graphene nanoribbons, electrons can lead to an exceptionally strong optical response in the infrared and terahertz regions. We show that by adjusting the intensities and relative phase of infrared laser fields, the threshold intensity and hysteresis loop can be manipulated efficiently. The effect of the electronic cooperation parameter, which is directly proportional to the electron concentration and the length of the graphene sample, is also discussed. Our proposed model may be useful for the next generation of all-optical systems and information processing in nanoscale devices.