Robust Majorana edge modes with low frequency multiple time periodic driving.

Area of Science:

• Condensed Matter Physics
• Topological Quantum Matter
• Quantum Superconductivity

Background:

• Floquet Majorana edge modes are key topological features in periodically driven p-wave superconductors.
• Understanding the impact of multiple driving terms is essential for controlling these modes.

Purpose of the Study:

• To investigate the effect of multiple time-periodic driving terms on Floquet Majorana edge modes.
• To explore methods for predicting these modes and understanding their topological phase transitions.

Main Methods:

• Utilizing a Kitaev chain model with multiple time-periodic driving terms.
• Analyzing Floquet bands in frequency space and their topological properties.
• Employing the Zak phase to predict Majorana edge modes.
• Applying Magnus expansion for high-frequency limit analysis.

Main Results:

• Multiple driving terms lead to more robust Floquet Majorana edge modes compared to single driving.
• The relative phase between multiple drives significantly influences topological phase transitions and cannot be gauged out.
• A method to predict Majorana edge modes using the Zak phase of Floquet bands is proposed.

Conclusions:

• Multiple driving terms offer enhanced robustness for Floquet Majorana edge modes.
• The relative phase in multi-drive systems is a critical factor for topological phase control.
• This work provides a framework for designing and understanding topological quantum systems with multiple driving fields.