Two-Dimensional Anharmonic Crystal Lattices: Solitons, Solectrons, and Electric Conduction

Velárde, Manuel G.; Ébeling, W.; Chetverikov, A. P.

doi:10.1007/978-3-319-00297-2_1

Cited by 1 publication

(1 citation statement)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, we have studied soliton-like excitations in two-dimensional (2d) atomic layers [4][5][6] in triangular lattices as well as the corresponding charge densities by using different methods like solving, e.g. Pauli master equations [2,7,8]. Here we will study more complicated two-component 2d lattices.…”

Section: Introductionmentioning

confidence: 99%

Soliton-mediated compression density waves and charge density in 2d layers of underdoped cuprate-like lattices

Velarde¹,

Ébeling

Chetverikov

2012

Comptes Rendus. Mécanique

View full text Add to dashboard Cite

We study here the landscape of the excitations (compression density) of the nonlinear oxygen vibrations in a two-dimensional CuO 2 layer. After studying regular lattices we investigate lattices with bonds which are weakly distorted due to an influence of weak doping (below the HTSC regime). We estimate the density of compressions (strain density) in dependence of a misfit of the Cu-O-bonds. We show that with increasing misfit the nonlinear oscillations of the O-atoms are organized in stripes. Assuming that the density of doping charges follows at least qualitatively the compression density, we discuss the stripe structures of the strain density as a possible origin for the experimentally observed stripe structures.

show abstract