Weakly Pinned Fröhlich Charge-Density-Wave Condensates: A New, Nonlinear, Current-Carrying Elementary Excitation

Rice, Michael J.; Bishop, A. R.; Krumhansl, J. A.; Trullinger, S. E.

doi:10.1103/physrevlett.36.432

Cited by 391 publications

(129 citation statements)

References 10 publications

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“…This value is consistent with recent variational studies 23 and suggests that the current carrying elementary excitations for the TTF-TCNQ system are one order of magnitude lighter than estimated in the past. 44 The 3D g 0 ϭ2.6 case is appropriate instead to a classical polaronic system, SrTiO 3 . At the largest intermolecular energy consistent with the perturbative method, we find a mass ratio of Ӎ50, a factor of 2 smaller than previously reported in small-polaron theory but still somewhat higher than the observed value (Ӎ20).…”

Section: Numerical Resultsmentioning

confidence: 99%

Lattice-dynamics effects on small-polaron properties

Zoli

2000

Phys. Rev. B

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This study details the conditions under which strong-coupling perturbation theory can be applied to the molecular crystal model, a fundamental theoretical tool for analysis of the polaron properties. I show that lattice dimensionality and intermolecular forces play a key role in imposing constraints on the applicability of the perturbative approach. The polaron effective mass has been computed in different regimes ranging from the fully antiadiabatic to the fully adiabatic. The polaron masses become essentially dimension independent for sufficiently strong intermolecular coupling strengths and converge to much lower values than those traditionally obtained in small-polaron theory. I find evidence for a self-trapping transition in a moderately adiabatic regime at an electron-phonon coupling value of Ӎ3. Our results point to a substantial independence of the self-trapping event on dimensionality.

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Section: Numerical Resultsmentioning

confidence: 99%

Lattice-dynamics effects on small-polaron properties

Zoli

2000

Phys. Rev. B

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“…A number of workers have discussed Peierls transitions (3). Several have mentioned the possibility of "phase-slippage" of Peierls charge density waves in strictly single-phase, onedimensional systems to produce domain walls, and it has been suggested that various kinds of domains could "slide" and actually contribute to the electrical conductivity (16,17). We feel that such domains could easily be pinned by impurities, and that such conductivity mechanisms are non-ohmic in character.…”

Section: Conductivity Anisotropymentioning

confidence: 99%

“…Previous theories (16,17) 73(1976) to about +0.2, while T1 is accurate to about ±20 K; assuming the form [I1, b is accurate to +0.02, while To is not well determined.…”

Section: Conductivity Anisotropymentioning

confidence: 99%

Conductivity and structure of bilinear organic addition compounds

Phillips¹

1976

Proc. Natl. Acad. Sci. U.S.A.

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The relationship between crystal structures and metallic conductivities of linear organic materials such as tetrathiafulvalene-tetracyanoquinodimethane is explained in terms of strong lateral e astic interactions between chains. A microdomain model is presented in which at high temperatures there are, in general, two coexisting phases on each stacked molecular chain. The ordering of (in general, four) phases on two interacting chains leads to a variety of phase transitions at low temperatures. By examining temperature-dependent electrical conductivities and magnetic susceptibilities one can establish the character of each such transition.For several years solid-state chemists have synthesized and measured the properties of highly anisotropic organic crystals consisting of cations and anions stacked in segregated molecular chains (1, 2). Charge transfer in these systems is incomplete, giving rise to partially filled valence bands and very high axial electrical conductivities [-103 (ohm-cm)-l at room temperature in favorable materials]. As the temperature is lowered, these conductivities increase rapidly until a phase transition to some kind of ordered state takes place, when the conductivity decreases rapidly with further temperature reduction, in an activated manner similar to that found in semiconductors.The behavior just described is typical of many more isotropic (three-dimensional or two-dimensional) inorganic crystals that undergo metal-semiconductor transitions. Moreover, the metal-semiconductor transition in the bilinear organic crystals has been identified in x-ray, electron, and neutron diffraction studies by the formation of charge density waves, whose period may be distinct from that of the lattice, as originally suggested by Peierls (3). However, there is a very serious theoretical dilemma posed by the wealth of transport and structural data now available. The charge density wave (insulating phase) forms at high temperatures, where the conductivity is metallic, and it grows in intensity as the conductivity increases with decreasing temperature, down to the temperature at which the phase transitions begin. This is highly contradictory behavior, and this article proposes a theoretical model that resolves the paradox. Several other models have been proposed to deal with this problem; they are discussed at the conclusion of this article. Bilinear structures Under the influence of constraints, a system undergoing a first-order phase transition separates into coexisting phases until the transition is complete; the fraction of the system in a given phase in, e.g., a gas-liquid transition, depends on temperature and volume for a given mass. In strictly one-dimensional systems, however, it is well known (4) that coexistence of phases is impossible because of logarithmic divergence of the entropy with the creation of more domains of smaller length. In a statistical treatment the domains are separated by domain walls, but in a linear system that is free to vibrate perpendicular to the Abbreviations: TT...

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“…If the anharmonic substrate potential has two or more degenerate vacua, such a system may support static kink solutions interpolating between neighbouring vacua. These kinks have various interesting physical interpretations (as crystal dislocations [1], charge density waves [2] and magnetic [3] and ferroelectric [4] domain walls, for example) and their dynamics is an interesting and important subject.…”

Section: Introductionmentioning

confidence: 99%

A quantum Peierls-Nabarro barrier

Speight¹

2000

J. Phys. A: Math. Gen.

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Kink dynamics in spatially discrete nonlinear Klein-Gordon systems is considered. For special choices of the substrate potential, such systems support continuous translation orbits of static kinks with no (classical) Peierls-Nabarro barrier. It is shown that these kinks experience, nevertheless, a lattice-periodic confining potential, due to purely quantum effects anaolgous to the Casimir effect of qunatum field theory. The resulting "quantum Peierls-Nabarro potential" may be calculated in the weak coupling approximation by a simple and computationally cheap numerical algorithm, which is applied, for purposes of illustration, to a certain two-parameter family of substrates.

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Weakly Pinned Fröhlich Charge-Density-Wave Condensates: A New, Nonlinear, Current-Carrying Elementary Excitation

Cited by 391 publications

References 10 publications

Lattice-dynamics effects on small-polaron properties

Lattice-dynamics effects on small-polaron properties

Conductivity and structure of bilinear organic addition compounds

A quantum Peierls-Nabarro barrier

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