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Sliding Luttinger liquid with alternating interwire couplings.
S Begum1, V Fleurov2, V Kagalovsky3,4
1Aston University, School of Engineering & Applied Science-Birmingham B4 7ET, United Kingdom.
Summary
Researchers explored the stability of sliding Luttinger liquids (SLLs) in coupled quantum wires. Inter-wire forward scattering interactions create a stable SLL phase, even with asymmetric couplings.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
Background:
- Sliding Luttinger liquids (SLLs) describe interacting one-dimensional quantum systems.
- Understanding the stability of SLL phases in higher dimensions is crucial for novel electronic states.
Purpose of the Study:
- To investigate the phase diagram of a 2D array of coupled quantum wires forming an SLL.
- To determine if nearest-neighbor inter-wire interactions stabilize the SLL phase without a magnetic field.
Main Methods:
- Construction of a Su-Schriefer-Heeger (SSH) model analogue for coupled wires.
- Calculation of scaling dimensions for charge-density wave and superconducting perturbations.
- Analysis of inter-wire forward scattering and alternating coupling effects.
Main Results:
- A finite stability region for the SLL phase was identified.
- Inter-wire forward scattering interactions are key to SLL stabilization.
- The SLL phase remains stable despite significant asymmetry in alternating couplings.
Conclusions:
- Nearest-neighbor inter-wire interactions, particularly forward scattering, can stabilize SLLs in 2D arrays.
- The interplay between interactions and structural parameters like coupling asymmetry dictates phase stability.
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