Dissipative dynamics of planar d-wave Josephson junctions

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Superconductivity

Background:

• Josephson junctions are crucial for quantum electronics.
• Understanding phase transitions in superconductors is key to advancing quantum technologies.
• D-wave superconductors exhibit unique quantum phenomena.

Purpose of the Study:

• Investigate quantum dynamics and phase transitions in a Josephson junction.
• Analyze the impact of quasiparticle and Cooper pair tunneling.
• Determine the phase diagram and associated behaviors of the junction.

Main Methods:

• Combined perturbative weak coupling analysis (charge representation).
• Employed variational approach (phase representation) for strong coupling.
• Developed an effective action incorporating nonlocal dissipative terms.

Main Results:

• Identified nonlocal dissipative terms arising from tunneling processes.
• Mapped out the phase diagram of the Josephson junction.
• Characterized distinct behaviors corresponding to different regions of the phase diagram.

Conclusions:

• The interplay of quasiparticle and Cooper pair tunneling significantly influences junction dynamics.
• The study provides a comprehensive understanding of phase transitions in d-wave superconductor Josephson junctions.
• Results offer insights for designing and controlling superconducting quantum devices.