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Pouget, J.P.; Khanna, S. K.; Dénoyer, F.; Comès, R.; Garito, A. F.; Heeger, Alan J.

doi:10.1103/physrevlett.37.437

Cited by 216 publications

(92 citation statements)

References 14 publications

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“…Between T CDW and T MF , 1D CDW¯uctuations are present, as evidenced by planes of diffuse scattering in the X-ray diffraction ( Fig. 6) (Pouget, 2004). The latter are oriented perpendicular to the 1D chains at positions 0Y 0Y AE2k F off the main Bragg re¯ections.…”

Section: Electronic Band Structures Of Low-dimensional Electronic Crymentioning

confidence: 94%

The Peierls transition in low-dimensional electronic crystals

Smaalen¹

2004

Acta Crystallogr A Found Crystallogr

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An overview is presented of low-dimensional electronic crystals that undergo a phase transition towards a low-temperature charge-density-wave (CDW) state. The emphasis is on inorganic compounds that develop an one-dimensional (1D) CDW. Low-dimensional features of crystal structures are discussed in relation to 1D electronic properties. X-ray diffraction is discussed as a tool to obtain quantitative information about the normal state and its structural¯uctuations, and about the CDW, both in equilibrium and in its non-linear conducting state.

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Section: Electronic Band Structures Of Low-dimensional Electronic Crymentioning

confidence: 94%

The Peierls transition in low-dimensional electronic crystals

Smaalen¹

2004

Acta Crystallogr A Found Crystallogr

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“…Finally, while this paper was prepared, new experiments on the organic two-chain conductor T T F − T CNQ became available which clearly show dispersing signals both on the T T F and T CNQ chains with very unusual lineshapes 13 . Specifically, the T CNQ signals are somewhat similar to K 0.3 MoO 3 , and we know from independent experiments that there are strong 2k F -CDW fluctuations on this chain in the metallic state 14 . (The T T F -chain exhibits strong 4k F -CDW fluctuations at very high temperature and is expected to be a Luttinger liquid.…”

Section: Motivationmentioning

confidence: 99%

“…Also in the organic conductor T T F − T CNQ, anomalous lineshapes are observed 13 . Of interest here is the T CNQ-band which shows 2k F -CDW fluctuations in the metallic state 14 and triggers a series of transitions into a low-temperature CDW phase. While some materials such as the Bechgaard salts 7 , or the T T F -band of T T F − T CNQ (which has strong 4k F -CDW fluctuations 14 ) may well fall into the Luttinger liquid universality class, it is particularly surprising that CDW systems such as K 0.3 MoO 3 , or the T CNQ-band in T T F − T CNQ, should behave as Luttinger liquids.…”

Section: Applications To Experimentsmentioning

confidence: 99%

Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators

Voit

1998

Eur. Phys. J. B

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I construct the spectral function of the Luther-Emery model which describes one-dimensional fermions with one gapless and one gapped degree of freedom, i.e. superconductors and Peierls and Mott insulators, by using symmetries, relations to other models, and known limits. Depending on the relative magnitudes of the charge and spin velocities, and on whether a charge or a spin gap is present, I find spectral functions differing in the number of singularities and presence or absence of anomalous dimensions of fermion operators. I find, for a Peierls system, one singularity with anomalous dimension and one finite maximum; for a superconductor two singularities with anomalous dimensions; and for a Mott insulator one or two singularities without anomalous dimension. In addition, there are strong shadow bands. I generalize the construction to arbitrary dynamical multi-particle correlation functions. The main aspects of this work are in agreement with numerical and Bethe Ansatz calculations by others. I also discuss the application to photoemission experiments on 1D Mott insulators and on the normal state of 1D Peierls systems, and propose the Luther-Emery model as the generic description of 1D charge density wave systems with important electronic correlations.

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“…Evidence for such behavior has been found, e.g. in TTF-TCNQ [10] for S(k), and (T MT SF ) 2 ClO 4 [11] for T −1…”

Section: Predictions For Experimentsmentioning

confidence: 99%

A brief introduction to Luttinger liquids

Voit

2000

AIP Conference Proceedings

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Abstract. I give a brief introduction to Luttinger liquids. Luttinger liquids are paramagnetic one-dimensional metals without Landau quasi-particle excitations. The elementary excitations are collective charge and spin modes, leading to charge-spin separation. Correlation functions exhibit power-law behavior. All physical properties can be calculated, e.g. by bosonization, and depend on three parameters only: the renormalized coupling constant K ρ , and the charge and spin velocities. I also discuss the stability of Luttinger liquids with respect to temperature, interchain coupling, lattice effects and phonons, and list important open problems. WHAT IS A LUTTINGER LIQUID ANYWAY?Ordinary, three-dimensional metals are described by Fermi liquid theory. Fermi liquid theory is about the importance of electron-electron interactions in metals. It states that there is a 1:1-correspondence between the low-energy excitations of a free Fermi gas, and those of an interacting electron liquid which are termed "quasiparticles" [1]. Roughly speaking, the combination of the Pauli principle with low excitation energy (e.g. T ≪ E F ) and the large phase space available in 3D, produces a very dilute gas of excitations where interactions are sufficiently harmless so as to preserve the correspondence to the free-electron excitations. Three key elements are: (i) The elementary excitations of the Fermi liquid are quasi-particles. They lead to a pole structure (with residue Z -the overlap of a Fermi surface electron with free electrons) in the electronic Green's function which can be -and has been -observed by photoemission spectroscopy [2]. (ii) Transport is described by the Boltzmann equation which, in favorable cases, can be quantitatively linked to the photoemission response [2]. (iii) The low-energy physics is parameterized by a set of Landau parameters F ℓ s,a which contain the residual interaction effects in the angular momentum charge and spin channels. The correlations in the electron system are weak, although the interactions may be very strong.Fermi liquid theory breaks down for one-dimensional (1D) metals. Technically, this happens because some vertices Fermi liquid theory assumes finite (those involving a 2k F momentum transfer) actually diverge because of the Peierls effect. An equivalent intuitive argument is that in 1D, perturbation theory never can work even for arbitrarily small but finite interactions: when degenerate perturbation

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X Ray Observation of2kFand4kF

Cited by 216 publications

References 14 publications

The Peierls transition in low-dimensional electronic crystals

The Peierls transition in low-dimensional electronic crystals

Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators

A brief introduction to Luttinger liquids

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