Spectral functions for the tomonaga-luttinger and luther-emery liquids

Orgad, Dror

doi:10.1080/13642810108226410

Cited by 42 publications

(34 citation statements)

References 40 publications

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“…1. Here we show that, with the exception of one aspect that is nonetheless of definite NFL character, the dispersing lineshapes defining the ARPES FS are well described by finite temperature TL model theoretical spectra [15]. This material is thus an LL ARPES paradigm.…”

Section: Introductionmentioning

confidence: 82%

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

2003

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We establish the quasi-one-dimensional Li purple bronze as a photoemission paradigm of Luttinger liquid behavior. We also show that generalized signatures of electron fractionalization are present in the angle resolved photoemission spectra for quasi-two-dimensional purple bronzes and certain cuprates. An important component of our analysis for the quasi-two-dimensional systems is the proposal of a "melted holon" scenario for the k-independent background that accompanies but does not interact with the peaks that disperse to define the Fermi surface.

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Section: Introductionmentioning

confidence: 82%

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

2003

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“…These general considerations can be substantiated by examining the explicit expression for the spectral function of the Tomonaga-Luttinger model [194][195][196][197]. The quantum criticality and the spin-charge separation of the model imply a scaling form for its correlation functions…”

Section: Spectral Functions Of the 1deg-signatures Of Fractionalizationmentioning

confidence: 99%

Concepts in High Temperature Superconductivity

Carlson

Kivelson

Orgad

et al. 2004

The Physics of Superconductors

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PrefaceIt is the purpose of this paper to explore the theory of high temperature superconductivity. Much of the motivation for this comes from the study of cuprate high temperature superconductors. However, we do not focus in great detail on the remarkable and exciting physics that has been discovered in these materials. Rather, we focus on the core theoretical issues associated with the mechanism of high temperature superconductivity. Although our discussions of theoretical issues in a strongly correlated superconductor are intended to be self contained and pedagogically complete, our discussions of experiments in the cuprates are, unfortunately, considerably more truncated and impressionistic.Our primary focus is on physics at intermediate temperature scales of order T c (as well as the somewhat larger "pseudogap" temperature) and energies of order the gap maximum, ∆ 0 . Consequently (and reluctantly) we have omitted any detailed discussion of a number of fascinating topics in cuprate superconductivity, including the low energy physics associated with nodal quasiparticles, the properties of the vortex matter which results from the application of a magnetic field, the effects of disorder, and a host of material specific issues. This paper is long enough as it is!

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“…The correct form was again reproduced by Starykh et al 19 , although on the basis of arguments which cannot be accepted as rigorous. An earlier attempt to calculate the single particle Green's function using the formfactor approach 20 led to an incorrect result yielding…”

Section: Uncoupled Chainsmentioning

confidence: 99%

Weakly coupled one-dimensional Mott insulators

2002

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We consider a model of one-dimensional Mott insulators coupled by a weak interchain tunnelling t ⊥ . We first determine the single-particle Green's function of a single chain by exact field-theoretical methods and then take the tunnelling into account by means of a Random Phase Approximation (RPA). In order to embed this approximation into a well-defined expansion with a small parameter, the Fourier transform T ⊥ (k) of the interchain coupling is assumed to have a small support in momentum space such that every integration over transverse wave vector yields a small factor κ 2 0 ≪ 1. When T ⊥ (0) exceeds a critical value, a small Fermi surface develops in the form of electron and hole pockets. We demonstrate that Luttinger's theorem holds both in the insulating and in the metallic phases. We find that the quasi-particle residue Z increases very fast through the transition and quickly reaches a value of about 0.4 − 0.6. The metallic state close to the transition retains many features of the one-dimensional system in the form of strong incoherent continua.

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Spectral functions for the tomonaga-luttinger and luther-emery liquids

Cited by 42 publications

References 40 publications

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

Generalized spectral signatures of electron fractionalization in quasi-one- and two-dimensional molybdenum bronzes and superconducting cuprates

Concepts in High Temperature Superconductivity

Weakly coupled one-dimensional Mott insulators

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