One dimensional electron gas at the LaAlO3/SrTiO3 interface and its transport properties

Hong, Deshun; Zhang, H.; Zhang, H. R.; Zhang, J.; Wang, S. F.; Chen, Y. S.; Shen, Baogen; Sun, Jia‐Tao

doi:10.1063/1.4966546

Cited by 6 publications

(4 citation statements)

References 26 publications

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“…One-dimensional (1D) systems of interacting fermions have gained considerable interest in both experimental [1][2][3][4] and theoretical [5][6][7][8][9] fields due to their wide range of interesting quantum properties and potential applications in various areas of electronics, sensors, and medicine. The simplest theoretical model of interacting electrons is the homogeneous electron gas, in which electrons are neutralized by a uniform, positively charged background.…”

Section: Introductionmentioning

confidence: 99%

Ground-state properties of electron-electron biwire systems

et al. 2021

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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 (rs) 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 rs to a single monowire of density parameter rs/2 as d is reduced from infinity to zero. The MD reveals Tomonaga-Luttinger (TL) liquid behavior with a power-law nature near kF 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 < kF and increases for k > kF, similar to its behavior with increasing rs. The TL liquid exponent is extracted by fitting the MD data near kF, from which the TL liquid interaction parameter Kρ 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.

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Section: Introductionmentioning

confidence: 99%

Ground-state properties of electron-electron biwire systems

et al. 2021

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“…Here, the electrons move freely along the axis of the wire, while their transverse motion is restricted quantum mechanically. With a precise control on physical parameters, the quantum wires of width down to few nanometers have been fabricated . The discovery of a variety of interesting phenomenon, like ballistic transport, fractionalized conductance, signature of spin‐charge separation, enhancement of Wigner crystallization, etc.…”

Section: Introductionmentioning

confidence: 99%

Exchange‐Correlation Effects in a Finite‐Temperature Quasi‐One‐Dimensional Electron Gas

Sharma

Kaur

Garg

et al. 2018

Physica Status Solidi (b)

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The exchange-correlation effects in a finite-temperature quasione-dimensional electron gas, using the self-consistent mean-field theory of Singwi, Tosi, Land, and Sjölander have been theoretically investigated. The influence of temperature T is elucidated by calculating different static properties (viz. static structure factor, pair-correlation function, static density susceptibility, and free exchange-correlation energy) and the plasmon excitation spectra over a wide range of T and electron number density. Noticeable dependence on T is found, with an interesting interplay between short-range electron correlations and T. More precisely, the pair-correlation function at small separation and for a given density first becomes stronger (i.e., its value decreases) with increasing T and then weakens monotonically above a critical T, whose value increases with reduction in density. On the other hand, the plasmon energy shows a consistent blue shift with rising T. However, the critical wave vector at which plasmons enter the single electron-hole pair continuum, decreases with T. For highlighting the correction due to shortrange correlations, the results have been compared with the predictions of random-phase approximation (RPA). As for the zero-T case, the RPA is found to be reliable only in the high density domain.

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“…For interacting electrons, it is well known that the dimensionality of the system plays a crucial role. In one-dimensional systems, electrons have no path to avoid each other, and thus, interact more strongly than in higher dimensional systems [33][34][35][36][37][38][39][40]. Onedimensional systems provide an ideal platform for studying quantum many-body effects because their universal properties are described by the Tomonaga-Luttinger liquid theory applied to 1D models [41][42][43][44][45][46], showing novel phenomena such as spin-charge separation.…”

Section: Introductionmentioning

confidence: 99%

Effective continuum model of twisted bilayer GeSe and origin of emerging one-dimensional mode

Fujimoto,

Kariyado

2021

Preprint

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One dimensional electron gas at the LaAlO3/SrTiO3 interface and its transport properties

Cited by 6 publications

References 26 publications

Ground-state properties of electron-electron biwire systems

Ground-state properties of electron-electron biwire systems

Exchange‐Correlation Effects in a Finite‐Temperature Quasi‐One‐Dimensional Electron Gas

Effective continuum model of twisted bilayer GeSe and origin of emerging one-dimensional mode

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