Two-leg ladder systems with dipole-dipole Fermion interactions

Area of Science:

• Condensed Matter Physics
• Quantum Many-Body Systems
• Strongly Correlated Systems

Background:

• Fermionic dipolar ladders are complex quantum systems.
• Understanding their ground-state phase diagram is crucial for novel quantum phases.
• Inter-site interactions significantly influence system behavior.

Purpose of the Study:

• To investigate the ground-state phase diagram of a two-leg fermionic dipolar ladder.
• To explore stable phases under half and quarter filling conditions.
• To analyze the impact of dipole-dipole and on-site interactions.

Main Methods:

• Density Matrix Renormalization Group (DMRG) techniques.
• State-of-the-art DMRG implementation for high accuracy.
• Finite size scaling to simulate large system sizes.

Main Results:

• At half filling, charge and spin gaps emerge with finite interactions.
• At quarter filling, various phases (superconducting, charge density wave, insulating, phase separation) appear based on interaction values.
• The D-Mott phase emerges with equal chain and rung hopping terms in dipole-dipole interactions.
• Half filling exhibits charge-density wave or charged Mott order depending on dipole moment orientation.

Conclusions:

• The study reveals rich phase diagrams in fermionic dipolar ladders.
• Interaction parameters and dipole orientation critically determine emergent quantum phases.
• Findings contribute to understanding strongly correlated fermionic systems.