Apparent Power-Law Behavior of Conductance in Disordered Quasi-One-Dimensional Systems

Родин, Александр; Fogler, M. M.

doi:10.1103/physrevlett.105.106801

Cited by 54 publications

(60 citation statements)

References 39 publications

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“…A recent LDOS measurement showed an electronic channel along the trenches between the Au-Ge wires at −100 meV [37]. This is in sharp contrast with the original claim of a high conductance 1D channel on the Au-Ge wires, which was based not on the STS data but only on the topography image [21].…”

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confidence: 57%

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Absence of Luttinger liquid behavior in Au-Ge wires: A high-resolution scanning tunneling microscopy and spectroscopy study

et al. 2014

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Au-induced atomic wires on the Ge(001) surface were recently claimed to be an ideal 1D metal and their tunneling spectra were analyzed as the manifestation of a Tomonaga-Luttinger liquid (TLL) state. We reinvestigate this system for atomically well-ordered areas of the surface with high resolution scanning tunneling microscopy and spectroscopy (STS). The local density-of-states maps do not provide any evidence of a metallic 1D electron channel along the wires. Moreover, the atomically resolved tunneling spectra near the Fermi energy are dominated by local density-of-states features, deviating qualitatively from the power-law behavior. On the other hand, the defects strongly affect the tunneling spectra near the Fermi level. These results do not support the possibility of a TLL state for this system. An 1D metallic system with well-defined 1D bands and without defects are required for the STS study of a TLL state. DOI:PACS number(s): 71.10. Pm, 68.37.Ef, 73.20.Mf, 68.47.Fg Tomonaga-Luttinger liquid (TLL) is undoubtedly one of the most important theoretical models for interacting electrons in one dimension (1D) [1][2][3]. Over past decades, many efforts were made to experimentally observe a TLL state. The evidence for a TLL state has been accumulated in carbon nanotubes [4,5], strongly anisotropic bulk crystals [6][7][8], fractional-quantum-hall-effect edge states [9], and 1D electron gases of quantum wires [10].Along a largely different direction, the possibility of a TLL state was also discussed in metallic atomic wires selforganized on semiconductor surfaces, in particular, for Au-induced atomic wire arrays on vicinal silicon surfaces [11]. However, no clear indication of a TLL state has been identified for these systems so far [12][13][14][15]. As the most recent system in this line of researches, Au-induced atomic wires on the Ge(001) surface (hereafter, the Au-Ge wires) were suggested as an ideal 1D metallic system [16], with a clear signature of a TLL state in their scanning tunneling spectroscopy (STS) spectra [17]. However, not only the chemical composition and the atomic structure [18][19][20][21][22][23][24], but also their band structure is uncertain at present [25,26]. Most notably, a recent angle-resolved photoemission spectroscopy (ARPES) study, the first such study for a single domain surface, showed an anisotropic but 2D metallic band, which disperses more strongly in the direction perpendicular to the wire [27,28].This situation apparently and urgently requests the confirmation of the existence of a 1D metallic state itself in the Au-Ge wire and the TLL behavior of its tunneling spectra. We also note that while the importance of STS has been mentioned for a few 1D metallic systems [7,29], no detailed atomic scale investigation of STS spectra of a TLL system is available. For such an atomic scale study, a well ordered surface 1D metallic system would definitely be beneficial. Therefore, the Au-Ge wire could be an important model system to unveil a largely

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confidence: 57%

“…The most probably cause is the disorder [37], which is indeed substantial in the present system. As shown in Fig.…”

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confidence: 77%

Absence of Luttinger liquid behavior in Au-Ge wires: A high-resolution scanning tunneling microscopy and spectroscopy study

et al. 2014

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“…We note that other physical models yield a similar functional dependence for current as a function of voltage and temperature, for example, variable range hopping 25 , Luttinger Liquid 2,26 and Coulomb blockade 3,27 . All these models are mutually exclusive and inconsistent with each other.…”

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confidence: 99%

“…Thus, our assumption of identical hops leads to a universal scaling behaviour, but the characteristic transport length related to the field enhancement in disordered materials should not be interpreted as the neighbouring site distance. We note that we also tried to fit the data with the most elaborate model based on variable range hopping 25 . The model, however, failed to describe the experimental data.…”

Section: Resultsmentioning

confidence: 99%

Polaron hopping mediated by nuclear tunnelling in semiconducting polymers at high carrier density

et al. 2013

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The transition rate for a single hop of a charge carrier in a semiconducting polymer is assumed to be thermally activated. As the temperature approaches absolute zero, the predicted conductivity becomes infinitesimal in contrast to the measured finite conductivity. Here we present a uniform description of charge transport in semiconducting polymers, including the existence of absolute-zero ground-state oscillations that allow nuclear tunnelling through classical barriers. The resulting expression for the macroscopic current shows a power-law dependence on both temperature and voltage. To suppress the omnipresent disorder, the predictions are experimentally verified in semiconducting polymers at high carrier density using chemically doped in-plane diodes and ferroelectric field-effect transistors. The renormalized current-voltage characteristics of various polymers and devices at all temperatures collapse on a single universal curve, thereby demonstrating the relevance of nuclear tunnelling for organic electronic devices.

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“…Line shapes of photoelectron spectra of one-dimensional metallic nanowires also depend on the defects density. 16,17 For example, the Au/Si(557) surface shows high density of defects, giving a mean length of the interrupted chains of 5 nm. 12 Longer segments are required for clarifying if the nanowires at surfaces exhibit the Luttinger liquid behavior, or Peierls instability.…”

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confidence: 99%

Fermi gas behavior of a one-dimensional metallic band of Pt-induced nanowires on Ge(001)

et al. 2013

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We have investigated the electronic band structure of Pt-induced nanowires on Ge(001) [Pt/Ge(001) NWs] by angle-resolved photoelectron spectroscopy at 6 K. Single-domain samples of Pt/Ge(001) NWs were prepared on vicinal Ge(001) substrates. One of the bands disperses only in the nanowire direction, and its Fermi surface consists of strictly straight lines, indicating that it is an ideal one-dimensional metallic state. An energy distribution curve of the one-dimensional band is explained by a Fermi-Dirac-type spectral shape, which is against both a Luttinger liquid and Peierls instability schemes.

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Apparent Power-Law Behavior of Conductance in Disordered Quasi-One-Dimensional Systems

Cited by 54 publications

References 39 publications

Absence of Luttinger liquid behavior in Au-Ge wires: A high-resolution scanning tunneling microscopy and spectroscopy study

Absence of Luttinger liquid behavior in Au-Ge wires: A high-resolution scanning tunneling microscopy and spectroscopy study

Polaron hopping mediated by nuclear tunnelling in semiconducting polymers at high carrier density

Fermi gas behavior of a one-dimensional metallic band of Pt-induced nanowires on Ge(001)

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