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Springer proceedings in physics

Intra and Inter Correlation Effects in Quantum Bi-wire at High Density

Gautam Shah, Vidit Gangwar, Vinod Ashokan

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.1007/978-981-92-1538-6_9

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We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays in the absence of a magnetic field. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e. either the screened Coulomb or 'Coulomb-blockade' type interactions, stabilise the SLL phase. Calculating the scaling dimensions of the most relevant perturbations (the inter-wire single-particle hybridisation, charge-density wave, and superconducting inter-wire couplings), we find that their combination always destroys the SLL phase for the repulsive intra-wire interaction. However, suppressing the inter-wire tunnelling of repulsive fermions (when the charge-density wave is the only remaining perturbation), one can observe a stability region emerging due to the inter-wire forward scattering interaction.

arXiv:1711.01639•Journal of Physics Condensed Matter•Mar 26, 2018•5 citations
Abstract In this work, the computational method of Variational Monte Carlo is used to study the ground state properties of electron-hole (e-h) bi-wire systems. We have calculated the pair correlation function and static structure factor of a coupled infinitely thin e-h wire system of electronic density (rs= 1) and inter-wire distance (d = 1). The numerical calculation is carried out using the many-body trial wave function of the Slater-Jastrow backflow type. It is observed that the inter-wire correlations become quite important in the case of the mass-symmetric electron-hole bi-wire system due to the coulomb attractive nature of the bi-wire system.
We investigate a minimal two-orbital Hubbard model with intra- and inter-orbital nearest-neighbor hopping ttt and t~\tilde{t}t~, as well as intra- and inter-orbital density-density interactions UUU and U′U'U′ by means of variational ansätze based on Jastrow-Slater wave functions within quantum Monte Carlo techniques. To focus on the electronic mechanisms of superconductivity, we restrict the variational ansätze to uniform nonmagnetic states with an explicit pairing amplitude and compute the pairing correlations as a function of filling and model parameters. At U/t=10U/t=10U/t=10, superconducting correlations are highly enhanced by the presence of inter-orbital terms, U′U'U′ and t~\tilde{t}t~. For t~=0\tilde{t}=0t~=0, a finite value of U′U'U′ effectively screens the intra-orbital repulsion UUU, producing a shift in the superconducting dome. Consequently, inter-orbital repulsion yields a sizable increase in electron pairing compared to the single-orbital baseline. Furthermore, introducing a finite t~\tilde{t}t~ provides an additional boost to superconducting correlations, an effect driven by the simultaneous presence of flat and broad bands in the electronic structure.
We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays in the absence of a magnetic field. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e. either the screened Coulomb or 'Coulomb-blockade' type interactions, stabilise the SLL phase. Calculating the scaling dimensions of the most relevant perturbations (the inter-wire single-particle hybridisation, charge-density wave, and superconducting inter-wire couplings), we find that their combination always destroys the SLL phase for the repulsive intra-wire interaction. However, suppressing the inter-wire tunnelling of repulsive fermions (when the charge-density wave is the only remaining perturbation), one can observe a stability region emerging due to the inter-wire forward scattering interaction.