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Sliding Luttinger liquid with alternating interwire couplings.

S Begum1, V Fleurov2, V Kagalovsky3,4

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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.

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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.