Interplay between dispersive and non-dispersive modes in the polaron problem

Cruzeiro, Leonor; Eilbeck, J. C.; Marín, J. L.; Russell, F.M.

doi:10.1016/s0375-9601(00)00029-3

Cited by 15 publications

(5 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Measurements showed that the extent of decoration on fossil tracks associated with quodons carrying charge was the same as that on a slowly moving positron [6][7][8]. This related with a previous study of charge binding to discrete breathers [11,12].…”

supporting

confidence: 83%

Hyperconductivity in fluorphlogopite at 300 K and 1.1 T

Russell

Russell²,

Archilla

2019

EPL

View full text Add to dashboard Cite

We report on studies of hyperconductivity in which electric charge moves in a solid in the absence of an applied electric field. This is indicative of a non-Ohmic mechanism. Our results are consistent with charge being carried ballistically by mobile nonlinear lattice excitations called quodons moving along close-packed atomic chains in the cation layers of some silicates. The finding that quodons can trap and carry a charge was first found by the authors in muscovite (Russell F. M. et al., EPL, 120 (2017) 46001), which previously was not possible. In this paper we have also found hyperconductivity in lepidolite, phlogopite and synthetic fluorphlogopite but not in biotite or quartz. We have found that a current continues to flow for many seconds after the creation of quodons is stopped, indicating they have long flight-paths. This shows that quodons are decoupled from phonons, must experience elastic reflection at boundaries and are not stopped by inevitable dislocations or other minor defects. We have also found that quodons can anneal defects caused by mechanical working of crystal faces. The current carried by quodons is unaffected by a magnetic field of 1.1 T.

show abstract

supporting

confidence: 83%

Hyperconductivity in fluorphlogopite at 300 K and 1.1 T

Russell

Russell²,

Archilla

2019

EPL

View full text Add to dashboard Cite

show abstract

“…There are two regimes, one in which the minimum energy states are spatially delocalized and another in which they are localized. As discussed elsewhere [31], the transition between the two is discontinuous. For delocalized states, the frequency ω = −2V/h varies linearly with V , as shown in the figure, while for localized, SDB states it varies nonlinearly.…”

Section: Introductionmentioning

confidence: 83%

Breathers in systems with intrinsic and extrinsic nonlinearities

Cruzeiro

Eilbeck

Marín

et al. 2000

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

We study the interplay between nonlinearity and localization in a model consisting of a quantum quasiparticle interacting with a nonlinear extended lattice. The isolated lattice can support discrete breathers, and the coupling of the quasiparticle to the lattice leads to localized quasiparticle states. Minimum energy states of the full system can have both a breather and a solitonic character. Excited states lead to interesting new phenomena, such as full breather states, which arise from the combination of intrinsic and extrinsic nonlinearity.

show abstract

“…The latter concept is applicable as long as the nearest-neighbour electronic couplings much surpass those between the non-nearest-neighbours as well as the symmetry-breaking electron-phonon couplings. Exciton self-trapping in one-dimensional arrays arises at any non-vanishing electron-phonon coupling value, whereas it has a threshold in two-and threedimensional lattices [21,46,[54][55][56]. Therefore, the spectra of the excitons self-trapped in one-dimensional lattices may necessarily not be broad and a great deal Stokes shifted.…”

Section: Discussionmentioning

confidence: 99%