Transport in a One-Dimensional Luttinger Liquid

Fisher, Matthew P. A.; Glazman, L. I.

doi:10.1007/978-94-015-8839-3_9

Cited by 84 publications

(107 citation statements)

References 46 publications

(61 reference statements)

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“…Edge states can attain macroscopic linear (perimeter) extent, and the tunneling experiments between such states [182,114] have observed several features predicted theoretically [287,140]. We refer the interested reader to the review articles by Schulz et al [233] and Fisher and Glazman [98] for further details.…”

Section: Experimental Observations Of One-dimensional Luttinger Liquimentioning

confidence: 97%

Singular or non-Fermi liquids

2002

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Section: Experimental Observations Of One-dimensional Luttinger Liquimentioning

confidence: 97%

Singular or non-Fermi liquids

2002

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“…It has been recognized for several decades now that a one-dimensional metal should considerably deviate from the Fermi liquid behavior [1][2][3][4]: quasiparticles would be replaced by two distinct collective excitations involving spin and charge, and some of the system's properties would exhibit characteristic power-law dependences. Despite this theoretical understanding, the experimental observation of the so-called Luttinger liquid behavior has proven quite elusive, due in large part to the lack of wellcharacterized one-dimensional systems.…”

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confidence: 99%

Two distinct metallic bands associated with monatomic Au wires on the Si(557)-Au surface

et al. 2002

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The Si(557)-Au surface, containing monatomic Au wires parallel to the steps, has been proposed as an experimental realization of an ideal one-dimensional metal. In fact, recent photoemission experiments on this system (Nature 402, 504 (1999)) found two peaks that were interpreted in terms of the spin-charge separation in a Luttinger liquid. Our first-principles density functional calculations reveal two metallic bands associated with Au-Si bonds, instead of the single band expected from the Au 6s states, providing an alternative explanation for the experimental observations. PACS Numbers: 73.20.At, 71.15.Mb, 71.10.Pm, 68.35.Bs It has been recognized for several decades now that a one-dimensional metal should considerably deviate from the Fermi liquid behavior [1][2][3][4]: quasiparticles would be replaced by two distinct collective excitations involving spin and charge, and some of the system's properties would exhibit characteristic power-law dependences. Despite this theoretical understanding, the experimental observation of the so-called Luttinger liquid behavior has proven quite elusive, due in large part to the lack of wellcharacterized one-dimensional systems. Only very recently, signatures of Luttinger liquid behavior have been observed by means of transport measurements in carbon nanotubes [5], in edge states of the fractional quantum Hall effect [6], and in quantum wires with a single conducting channel [7], and by optical conductivity measurements in organic conductors [8], and in the quasi-onedimensional CuO chains in PrBa 2 Cu 3 O 8 [9].More direct evidence of the Tomonaga-Luttinger behavior can be provided by angle-resolved photoemission experiments, in which the spin-charge splitting of the low-energy excitations can, in principle, be measured. This has been tried for several systems containing quasione-dimensional metallic chains [10,11]. However, in most cases the results were inconclusive due to the lack of energy and angular resolution [12], the difficulties to correctly align the chains, and other uncertainties associated with the crossover of dimensionality in the bulk samples. To avoid some of these problems, Segovia et al.[13] studied the photoemission from a monophase sample of the stepped Si(557)-Au surface, in which the gold atoms are believed to form single rows running parallel to the edge of each step. For this system, the measured spectra were assigned to a single one-dimensional band derived from the gold 6s states. The observed splitting of this band close to the Fermi level was interpreted in terms of the spin-charge separation in a one-dimensional electron liquid, providing the first direct measurement of two distinct peaks for spinons and holons. If such behavior is intrinsic to Au wires, it could also apply to monatomic gold wires fabricated using a scanning tunneling microscope (STM) and to mechanically controllable break junctions [14,15].In spite of this extraordinary observation, very little is still known about the atomic and the electronic structure of the Si(557)-Au s...

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“…Various authors have discussed the observability of those irrational excitations ge [1,32,[36][37][38][39]. The obvious suggestion is based on electric current noise measurements [1].…”

Section: One Bulk Contact In the Presence Of A Large Bias Currentmentioning

confidence: 99%

Conductance of one-dimensional quantum wires

et al. 2002

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We discuss the conductance of quantum wires (QW) in terms of the Tomonaga-Luttinger liquid (TLL) theory. We use explicitly the charge fractionalization scheme which results from the chiral symmetry of the model. We suggest that results of the standard two-terminal (2T) conductance measurement depend on the coupling of TLL with the reservoirs and can be interpreted as different boundary conditions at the interfaces. We propose a three-terminal (3T) geometry in which the third contact is connected weakly to the bulk of TLL subjected to a large bias current. We develop a renormalization group (RG) analysis for this problem by taking explicitly into account the splitting of the injected electronic charge into two chiral irrational charges. We study in the presence of bulk contact the leading order corrections to the conductance for two different boundary conditions, which reproduce in the absence of bulk contact, respectively, the standard 2T source-drain (SD) conductance G (2) SD = e 2 /h and G (2) SD = ge 2 /h, where g is the TLL charge interaction parameter. We find that under these two boundary conditions for the end contacts the 3T SD conductance G shows an UV-relevant deviation from the above two values, suggesting new fixed points in the ohmic limit. Non-trivial scaling exponents are predicted as a result of electron fractionalization.

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Transport in a One-Dimensional Luttinger Liquid

Cited by 84 publications

References 46 publications

Singular or non-Fermi liquids

Singular or non-Fermi liquids

Two distinct metallic bands associated with monatomic Au wires on the Si(557)-Au surface

Conductance of one-dimensional quantum wires

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