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Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Ground-state properties of electron-electron biwire systems
AU - Sharma, Rajesh
AU - Drummond, Neil
AU - Ashokan, Vinod
AU - Pathak, K. N.
AU - Morawetz, Klaus
N1 - © 2021 American Physical Society
PY - 2021/7/26
Y1 - 2021/7/26
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevB.104.035149
DO - 10.1103/PhysRevB.104.035149
M3 - Journal article
VL - 104
JO - Physical Review B: Condensed Matter and Materials Physics
JF - Physical Review B: Condensed Matter and Materials Physics
SN - 1098-0121
IS - 3
M1 - 035149
ER -