Home > Research > Publications & Outputs > Ground-state properties of electron-electron bi...

Associated organisational unit

Electronic data

  • prb-2021-R1

    Rights statement: © 2021 American Physical Society

    Accepted author manuscript, 897 KB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License


Text available via DOI:

View graph of relations

Ground-state properties of electron-electron biwire systems

Research output: Contribution to Journal/MagazineJournal articlepeer-review

  • Rajesh Sharma
  • Neil Drummond
  • Vinod Ashokan
  • K. N. Pathak
  • Klaus Morawetz
Article number035149
<mark>Journal publication date</mark>26/07/2021
<mark>Journal</mark>Physical Review B: Condensed Matter and Materials Physics
Issue number3
Number of pages14
Publication StatusPublished
<mark>Original language</mark>English


The correlation between electrons in different quantum wires is expected to affect the electronic properties of quantum electron-electron biwire systems. Here, we use the variational Monte Carlo method to study the ground-state properties of parallel, infinitely thin electron-electron biwires for several electron densities ( r s ) and interwire separations ( d ). Specifically, the ground-state energy, the correlation energy, the interaction energy, the pair-correlation function (PCF), the static structure factor (SSF), and the momentum distribution (MD) function are calculated. We find that the interaction energy increases as ln ( d ) for d → 0 and it decreases as d − 2 when d → ∞ . The PCF shows oscillatory behavior at all densities considered here. As two parallel wires approach each other, interwire correlations increase while intrawire correlations decrease as evidenced by the behavior of the PCF, SSF, and MD. The system evolves from two monowires of density parameter r s to a single monowire of density parameter r s / 2 as d is reduced from infinity to zero. The MD reveals Tomonaga-Luttinger (TL) liquid behavior with a power-law nature near k F even in the presence of an extra interwire interaction between the electrons in biwire systems. It is observed that when d is reduced the MD decreases for k < k F and increases for k > k F , similar to its behavior with increasing r s . The TL liquid exponent is extracted by fitting the MD data near k F , from which the TL liquid interaction parameter K ρ is calculated. The value of the TL parameter is found to be in agreement with that of a single wire for large separation between the two wires.

Bibliographic note

© 2021 American Physical Society